In this research paper, we apply the novel Temimi Ansari method to six first order nonlinear partial differential equations for exact solution namely Burger’s equation, Fisher’s equation, Schrodinger equation, wave equation, advection equation and KDV equations respectively. Unlike other semi analytical iterative methods, this method doesn’t require linearization, perturbation, discretization, or the calculation of an Adomian polynomials for nonlinear terms in the Adomian decomposition...

Topics: KDV Equation, Advection equation, Schrödinger equation, Burger’s equation, Fisher’s equation,...

5
5.0

Feb 15, 2021
02/21

by
Center for Accessible Technology in Sign

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ASL vocabulary

Topic: equation

This thesis presents a Fortran program that numerically solves the steady-state matrix Riccati equation of the quadratic cost optimal control problem. Each step of the program is presented, analytically and computationally. The check points incorporated in the program and the input parameters that can be used to assure a correct solution are identified and discussed. Difficulties encountered when verifying the program, and the suggested solutions, are also presented.

Topics: Aeronautics, Riccati equation, steady-state Riccati equation, Lyapunov equation

12
12

Jul 27, 2020
07/20

by
Center for Accessible Technology in Sign

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ASL vocabulary

Topic: equation

416
416

May 6, 2010
05/10

by
Sack, R. A

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Generalization of laplace expansion to arbitrary powers and functions of distance between two points

Topics: DISTANCE, LAPLACE EQUATION, LAPLACE EQUATION

Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory Author: Peter E. Zhidkov Published by Springer Berlin Heidelberg ISBN: 978-3-540-41833-7 DOI: 10.1007/3-540-45276-1 Table of Contents: Introduction Notation Evolutionary equations. Results on existence Stationary problems Stability of solutions Invariant measures

Topics: Korteweg-de Vries equation, Schrödinger equation

Continuity equation for wave modeling is still being developed. There are quite a lot of versions of this equation. This research formulates continuity equation in a simple form to simplify its numerical and analytical solution. The formulation of the continuity equation is done by performing mass conservation law in a water column with free surface and by performing weighted total acceleration. Then, the continuity equation is performed along with the surface momentum equation and completed...

Topics: Continuity Equation, Weighted total acceleration equation.

332
332

May 6, 2010
05/10

by
Musen, P

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Application of pfaff equation to theory of variation of astronomical parameters

Topics: ASTRONOMY, PFAFF EQUATION, ASTRONOMY, PFAFF EQUATION

Owing to the need of estimation and control of purity of air with respect to different gases, various types of mathematical models can prove to be highly useful. To be tune with this, an attempt in the form of development of a mathematical model to account for vegetation effect on atmospheric carbon dioxide (CO 2 ) and oxygen (O 2 ) has been presented in the paper. The model uses the numerical solution of various differential equations such as Poisson’s equation, drift- diffusion equation,...

Topics: Purity function, Poisson’s equation, Drift–diffusion equation, Convection-diffusion equation,...

115
115

Sep 20, 2016
09/16

by
Kac, Mark; Cohen, Michael

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Topic: Schrodinger equation

Another method of solving this equation, different from Ljunggren’s, is given in this paper.

Topics: diophantine equation, quadratic equation, recurrent solution, characteristic equation of a matrix,...

42
42

Aug 1, 2019
08/19

by
Magnus, Wilhelm, 1907-

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viii, 127 p. ; 24 cm. --

Topic: Hill's equation

34
34

Jul 3, 2019
07/19

by
Cannon, John Rozier, 1938-

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xxv, 483 p. : 25 cm. --

Topic: Heat equation

37
37

Jul 27, 2019
07/19

by
Berezin, F. A. (Feliks Aleksandrovich)

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xvii, 555 p. : 26 cm

Topic: Schrödinger equation

The directrix approach, which gives powerful insight to the geometric structure of solutions of the general Riccati equation, is developed. Burgers' Riccati equation is derived, and conclusions are drawn utilizing the directrix approach concerning the boundedness properties of solutions of this equation with certain restrictions on parameter values. Closed form solutions are developed for Burgers' Riccati equation for certain parameter values. A method is produced to obtain the verti' cal...

Topics: Mathematics, Riccati equation, Burgers' equation, nonlinear differential equation, mathematical...

HSLA-100 is a 100ksi nominal yield strength steel being developed by the Navy for Naval shipbuilding applications. To assist in ductile and brittle failure modelling of this low carbon steel, tensile tests were conducted at temperatures ranging from 37°C to liquid nitrogen (-196°C) to determine a constituitive equation for this alloy at low temperatures. The Hollomon Power Equation (a= Ken ) and the Voce Equation

Topics: Mechanical engineering, Voce equation, Power equation, Temperature dependence

10
10.0

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 3 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 For today's equation, we're moving to polar coordinates! By defining distance based on the angle, you can get beautiful symmetries in curves. The other advantage of polar coordinates is that, since theta and theta+360*n define the same rotational position, it's easy to define a curve with multiple y values for the same x value (vs. cartesian coordinates which...

Topics: Math, Equation, stl, Daily, thingiverse, Daily_Equation, Display

10
10.0

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 4 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 For today's equation, I picked the standard normal distribution (http://en.wikipedia.org/wiki/Normal_distribution). This is the simplest form of the Normal Distribution from statistics, where the mean = 0 and the standard deviation = 1. Details: - units are in mm - Range(x) = -50 to 50 - curve scaled to give a maximum height of 70% of the width. - stl resized to...

Topics: Math, Equation, stl, Daily, thingiverse, Daily_Equation, Display

10
10.0

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 7 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 For today's equation, I'm continuing the series of equations of the form |x^b + y^c| = a (See days 2 and 6). Previously, we saw that b = c = 1 generated a diamond, while b = c = 2/3 caused the diamond edges to curve inward. Today we look at b = c = 5/3, which bends the curve outward to start approaching a circle. Details: - units are in mm - a = 678 (to give a...

Topics: Math, Equation, stl, Daily, thingiverse, Daily_Equation, Display

353
353

Jun 17, 2010
06/10

by
Karim, R. I. I. A

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Resonance cases for systems of linear and nonlinear differential equations

Topics: DIFFERENTIAL EQUATIONS, LINEAR EQUATIONS, NONLINEAR EQUATIONS, RESONANCE, DIFFERENTIAL EQUATION,...

Analytical solution of Laplace equation using variable separation method, consists of two velocity potentials. However, only one component has been used. This research used both velocity potential equation components. With the potential equation, water wave surface equation and the related wave constants were formulated using kinematic free surface boundary condition and surface momentum equation. The characteristic of water wave surface that was produced was observed, both in deep water and...

Topics: Complete Solutionof Laplace Equation, Water wave surface equation.

11
11

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 1 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 I thought I'd start off with a classic sin function. Two full periods shown. Details: - units are in mm and degrees - a = 35, b = 72 - Range(x) = 0 to 100 I've always been interested in different ways to visualize and explore data. I thought it would be cool to try to print 3d representations of equations. The graphing libraries I could find weren't flexible enough...

Topics: Math, Equation, stl, Daily, thingiverse, Daily_Equation, Display

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32

Dec 8, 2018
12/18

by
© Impact Journals

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The main objective of the present article is to study the oscillatory behavior of conformable fractional generalized Lienard equations. We obtain some new sufficient conditions that guarantee all solutions are oscillatory by using Riccati transformation technique. Suitable examples are inserted in order to illustrate the effectiveness of our obtained results.

Topics: Conformable Fractional Differential Equation, Generalized Lienard Equation, Oscillation

In this paper authors study the customer’s preference of street shops to other eateries using Fuzzy Relation Equations (FREs) and Neutrosophic Relation Equations (NREs). We have constructed a new type of FRE and NRE called the new average FRE and new average NRE. This study is based on interviews /discussions taken from 32 tuck shops in and around Tambaram. This paper is organized into five sections. In section one we just recall the working of FRE and NRE.

Topics: Fuzzy Relation Equation(FRE), Neutrosophic Relation Equation(NRE), New Average Fuzzy Relation...

230
230

Jun 17, 2010
06/10

by
Yakovlev, M. N

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Solution of systems of nonlinear equations by method of differentiation with respect to parameter

Topics: DIFFERENTIAL EQUATIONS, NONLINEAR EQUATIONS, DIFFERENTIAL EQUATION, NONLINEAR EQUATION

11
11

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 8 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 For today's equation, I'm continuing the series of equations of the form |x^b + y^c| = a (See days 2, 6, and 7). Previously, we saw that as b and c went from 1, the quadrants of the shape went from bending inward, to straight, to bowing out. As b,c --> 2, the quadrants continue to bow out until they form a perfect circle, and today's equation: x^2 + y^2 = a. You...

Topics: Math, Equation, stl, Daily, thingiverse, Daily_Equation, Display

11
11

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 5 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 For today's equation, I'm revisiting the Archimede's spiral (r = a*theta) of day #3 (http://www.thingiverse.com/thing:228425). A variant is Fermat's spiral, r = +/-a*theta^0.5 (http://en.wikipedia.org/wiki/Fermat%27s_spiral). In contrast to Archimede's, Fermat's spiral exhibits a flat region near theta = 0 and a continuously decreasing distance between turns. It...

Topics: Math, Equation, stl, Daily, thingiverse, Daily_Equation, Display

11
11

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 6 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 For today's equation, I'm revisiting the Astroid , x^(2/3) + y^(2/3) = a, from day 2. By varying the exponent on x and y, you can generate an interesting set of curves. For the next few days, I'll walk through those. First up, let's try changing both exponents to 1. In order to preserve the symmetry of the Astroid, the equation becomes |x + y| = a. As x & y vary...

Topics: Math, Equation, stl, Daily, thingiverse, Daily_Equation, Display

This research formulates some dispersion equations with formulating procedure similar to the one in formulating dispersion equation of the small amplitude and long wave theory, i.e. by applying velocity potential equation on the Bernoulli surface equation and Kinematic Free Surface Boundary Condition equation. Furthermore, this research uses non-linear term of the Bernoulli equation, whereas the Kinematic Free Surface Boundary Condition equation is applied with two scenarios, i.e. neglected...

Topics: Dispersion Equation, WaveLength.

10
10.0

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 10 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 Based on gregsmith_to's request in the comments, (http://www.thingiverse.com/thing:227223/#comments), for today's equation, I'm doing the Sinc function, y = a*sin(b*x)/(b*x), which is used in signal processing (see http://en.wikipedia.org/wiki/Sinc_function). I've uploaded two different versions of the equation, with different ranges. Per another request, I've...

Topics: Math, Equation, Education, stl, Daily, thingiverse, Daily_Equation, Display

Carmichaël’s conjecture is the following: “the equation ϕ (x) = n cannot have a unique solution, (∀)n ∈N , where ϕ is the Euler’s function”.

Topics: equation, second method

In this short note we study the existence and number of solutions in the set of integers (Z) and in the set of natural numbers (N) of Diophantine equations of second degree.

Topics: equation, integer solutions

800
800

Nov 18, 2006
11/06

by
U.S. DEPARTMENT OF AGRICULTURE SOIL CONSERVATION SERVICE

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Topic: SOIL LOSS EQUATION

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27

Jan 26, 2022
01/22

by
Risken, H. (Hannes), 1934-

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xiv, 472 p. : 24 cm

Topic: Fokker-Planck equation

15
15

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This thing collects together all of my printable equations (see http://www.thingiverse.com/tag:Daily_Equation). For more detail and photos of each equation, see individual things. To just see each new equation as I post it, put a watch this thing. I've always been interested in different ways to visualize and explore data. I thought it would be cool to try to print 3d representations of equations. The graphing libraries I could find weren't flexible enough for what I needed, so I wrote a Python...

Topics: Math, Equation, School, stl, Daily, thingiverse, Daily_Equation, Display

بسم الله الرحمن الرحيم مؤسسة السحاب للإنتاج الإعلامي تقدم المعادلة الصحيحة لحكيم الأمة الشيخ المجاهد أيمن الظواهري حفظه الله شبكة المجاهدين الإلكترونية AL MOJAHDEN ELECTRONIC NETWORK شبكة دعوية إسلامية جهادية مستقلة تعنى بشئون العالم الإسلامي ولا تنتمي لأي تنظيم أو حزب أو مؤسسة روابط...

Topic: The-Correct-Equation

Real music for real people

Topic: The Hummingbird Equation

In this paper we propose a method of solving a Nonlinear Diophantine Equation by converting it into a System of Diophantine Linear Equations.

Topics: integer coefficients, equation

"March 1958."

Topics: Wave equation, Cables

46
46

Sep 24, 2016
09/16

by
IASET JOURNALS

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The perturbation equation of masseless fields for Kerr-de Sitter geometry are written in form of seperable equations as in [19] called the Angular Teukolsky equation. The Angular Teukolsky equation is converted to General Heun’s equation with singularities coinciding through some confluent process of one of five singularities. As in [17] and [18] rational polynomials of at most degree two are introduced. AMS Subject classification: 33XX.

Topics: Heun Equation, Teukolsky Equation, Type-D Metrics, Polynomial Solutions

11
11

Mar 19, 2021
03/21

by
Steven Kaye (skaye)

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This is Day 2 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 Found a great site of famous & interesting equations: http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html. For today's equation, I picked the Astroid: x^(2/3) + y^(2/3) = a where a = r^2/3 From the site (edited & shortened for clarity): The astroid can be formed by rolling a circle of radius r/4 on the inside of a circle of radius r. It can also...

Topics: Math, stl, School, Daily_Equation, thingiverse, Daily, Equation, Display

Let’s consider a polynomial with integer coefficients, of degree m.

Topics: integer coefficients, equation

The main objective of this paper is to present a new numerical method with utilization of fuzzy transform in order to solve various engineering problems that represented by hyperbolic Goursat partial differentical equation (PDE). The application of differential equations are widely used for modelling physical phenomena. There are many complicated and dynamic physical problems involved in developing a differential equation with high accuracy. Some problems requires a complex and time consuming...

Topics: Fuzzy transform, Goursat, Hyperbolic equation, Numerical, Partial differential equation

62
62

Dec 2, 2016
12/16

by
Impact Journals

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The perturbation equation of masseless fields for Kerr-de Sitter geometryare written in form of seperable equations as in [17] called the Angular Teukolsky equation. The Angular Teukolsky equation is converted to General Heun's equation with singularities coinciding through some confluent process of one of five singularities. As in [4, 16, and 17] rational polynomials of at most degree six are introduced. AMS Subject classification: 33XX.

Topics: Heun Equation, Teukolsky Equation, Type-D Metrics, Polynomial Solutions

Journal of Research of the National Bureau of Standards

Topics: Critical point, equation of state, scaling equation of state.

10
10.0

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 11 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 Based on plastic's request in the comments, (http://www.thingiverse.com/thing:231587/#comments), for today's equation, I'm doing y = sin(cos(x/7)+sin(x))*x. I've included the Openscad file in case someone wants to modify the text or stand. Details: - There's a surprise guest in the pictures. - units are in mm - y scaled by 0.5 and x scaled by 1/9 to keep size...

Topics: Math, Equation, Education, stl, Daily, thingiverse, Daily_Equation, Display

10
10.0

Apr 7, 2021
04/21

by
Steven Kaye (skaye)

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This is Day 9 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210 For today's equation, we have the final in the series of equations of the form |x^b + y^c| = a (See days 2, 6, 7, and 8). Previously, we saw that as b and c went from 1, to 2, the quadrants of the shape went from bending inward, to straight, to bowing out, to a circle. As b,c --> infinity, the quadrants continue to extend out until they form a square. Today's...

Topics: Math, Equation, Eductation, stl, Daily, thingiverse, Daily_Equation, Display

343
343

May 6, 2010
05/10

by
Tai, C. T

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Formulation of two scattering problems involving moving media using maxwell-minkowski equations

Topics: FORMULATIONS, MAXWELL EQUATION, SCATTERING, MAXWELL EQUATION, MINKOWSKI THEORY, SCATTERING

388
388

Apr 29, 2008
04/08

by
Henry Turner Eddy

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Topics: equation, sin, equations, tangent, axis, curve, axes, represents, tan, locus, approximate equation,...

Source: http://books.google.com/books?id=P5ELAAAAYAAJ&oe=UTF-8

1,670
1.7K

Nov 6, 2015
11/15

by
Patrick Bruskiewich

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In this short paper, the one dimensional wave equation for a string is derived from first principles. This paper was written in manuscript form in 1985 and was recently rediscovered by the author and is presented for the first time. This example draws from a question in a 1979 mathematical physics text by S.S.Rangnekar and R.H.Enns.

Topics: wave equation, one dimensional wave equation, simple derivation, Pythagoras Publishing