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Non Linear Partial Differential Equations

New Solitary Wave Solutions for Some Non-linear Partial Differential Equations

New Solitary Wave Solutions for Some Non-linear Partial Differential Equations

... Abstract— In this paper, the tanh and Sech function methods are proposed to establish a traveling wave solution for nonlinear partial differential equations. The two methods are used to obtain new ...

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OVERVIEW ON NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS

OVERVIEW ON NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS

... R ESUME : La notion mathématique d’équations aux dérivées partielles non linéaires s’inscrit en intégralité en Analyse mathématique. Cette notion trouve plusieurs applications dans d’autres disciplines comme la ...

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A Comparison Between Fourier Transform Adomian Decomposition Method and Homotopy Perturbation ethod for Linear and Non-Linear Newell-Whitehead-Segel Equations

A Comparison Between Fourier Transform Adomian Decomposition Method and Homotopy Perturbation ethod for Linear and Non-Linear Newell-Whitehead-Segel Equations

... different non-homogeneous linear and non-linear partial differential equations, the Helmholtz and NWS equations, using FTADM and HPM and discuss the comparison ...

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Solitary Wave Solutions for A Generalized Broer-Kaup System

Solitary Wave Solutions for A Generalized Broer-Kaup System

... for non-linear partial differential equations which has long been a major concern for both mathematicians and ...to non-linear differential equations, when ...

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On Approximate Solutions of Second Order Linear Partial Differential Equations

On Approximate Solutions of Second Order Linear Partial Differential Equations

... In this study, the usefulness of the Chebyshev matrix method presented for the approximate solution of the second order linear partial differential equations is dis- cussed. Also, the method ...

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A Comparative Analysis of DTM and HAM Solutions for Hunter-Saxton Equation and Fisher Equation

A Comparative Analysis of DTM and HAM Solutions for Hunter-Saxton Equation and Fisher Equation

... two partial differential equations (PDEs), namely Hunter-Saxton equation and Fisher equation, which are non-linear in nature and arise in different physical situations are adopted and ...

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Exact solutions for linear systems of local fractional partial differential equations

Exact solutions for linear systems of local fractional partial differential equations

... The basic motivation of the present study is to apply the local fractional Sumudu decomposition method to solve linear system of local fractional partial differential equations. The local ...

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Zhou’s Differential Transformation Method for Study of Arm Race Richardson Model

Zhou’s Differential Transformation Method for Study of Arm Race Richardson Model

... Zhou’s differential transform method as an analytic tool and not as the basis for ...solving differential equations by Taylor Series [1], Also Pukhov find differential transform of functions ...

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Non zero sum differential games of anticipated forward backward stochastic differential delayed equations under partial information and application

Non zero sum differential games of anticipated forward backward stochastic differential delayed equations under partial information and application

... delayed equations (SD- DEs), which are a natural generalization of the classical SDEs and have been widely stud- ied in engineering, life science, finance, and other fields (see, for example, the population growth ...

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A Study On Linear and Non linear Schrodinger Equations by Reduced Differential Transform Method

A Study On Linear and Non linear Schrodinger Equations by Reduced Differential Transform Method

... The aim of this work is to propose employ reduced differential transform method (RDTM) on nonlinear Schrodinger equations. The reduced DTM was first envisioned by Keskin [13] and successfully applied to ...

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DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation

DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation

... order non- linear fractional partial differential ...fractional partial dif- ferential equation depend on initial-boundary value ...

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Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

... Madani in [] has compared the approximate solutions obtained by means of LHAM in a wide range of the problem’s domain with those results obtained from the exact analytical solutions and the HAM. This comparison shows a ...

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The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations

The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations

... yield non-consistent ...any differential equations to fractional order differential equations is valid or ...any differential equations into fractional order ...

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A New Numerical Method to Solve Non Linear Fractional Differential Equations

A New Numerical Method to Solve Non Linear Fractional Differential Equations

... 6. J. Singh, D. Kumar and A. Kiliman, Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations, Abstract and Applied Analysis. ...

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On the multiple scale analysis for some linear partial q difference and differential equations with holomorphic coefficients

On the multiple scale analysis for some linear partial q difference and differential equations with holomorphic coefficients

... difference-differential equations that can be factorized as products of two operators in the so-called normal forms, each enjoying one single level of q-Gevrey ...

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The Application of Homotopy Analysis Method to Non-linear Reaction Diffusion System

The Application of Homotopy Analysis Method to Non-linear Reaction Diffusion System

... The homotopy analysis method has been well applied on the non-linear reaction diffusion system of equations of Lotka- Volterratypefor finding the approximate solutions. The relationship made between ...

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ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

... some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section ...

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Hyperbolicity of tensor product semigroups

Hyperbolicity of tensor product semigroups

... of linear operator semigroups is their asymptotic behaviour, because it interacts with partial differential equations, geometry of Banach spaces, harmonic analysis, complex function theory and ...

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Vol 2, No 10 (2011)

Vol 2, No 10 (2011)

... [10] Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. [11] Sakai, S.: Operator algebra in dynamical systems[r] ...

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Chebyshev spectral method for singular moving boundary problems with application to finance

Chebyshev spectral method for singular moving boundary problems with application to finance

... of differential equations satisfying a set of boundary ...two non-mixing fluids and melting or solidification of ...a partial differential equation valid away from the interface plus ...

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