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Linear and Nonlinear Partial Differential Equations

Vol 9, No 1 (2018)

Vol 9, No 1 (2018)

... for linear and nonlinear partial differential equations which describe in different ...solving linear and nonlinear ...of nonlinear partial ...

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OVERVIEW ON NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS

OVERVIEW ON NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS

... of nonlinear partial derivatives equations are registered in full in Mathematical ...chemistry, differential geometry and infinitesimal, ...solving equations to nonlinear ...

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STABILITY AND CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

STABILITY AND CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

... also linear problems, one of our examples is with a linear ...are nonlinear equations: the Fitzhugh-Nagumo equation, the Kolmogorov-Petrovskii-Piskunov equation, and the Fisher-Kolmogorov ...

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Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics

Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics

... The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity ...nonlocal ...

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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

... order differential equations have important roles in rheology, damping laws, diffusion process, etc ...[6,7,8,9,10]. Partial differential equations, nonlinear differential ...

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NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES

NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES

... or/and partial di↵erential equations or their ...often nonlinear, calling for a robust treatment of general classes of di↵erential ...both linear and nonlinear and both ordinary and ...

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Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method

Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method

... of nonlinear problems with approximations which converge quickly to accurate ...ordinary differential equation [13], to nonlinear partial differential equations with variable ...

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The Study for Transient Neutron Transport with Pomrning-Eddington Approximation

The Study for Transient Neutron Transport with Pomrning-Eddington Approximation

... algebraic, linear or nonlinear ordinary or partial differential equation, integro-differential, integral and differential delay ...

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Daftardar Jafari Method for Fractional Heat Like and Wave Like Equations with Variable Coefficients

Daftardar Jafari Method for Fractional Heat Like and Wave Like Equations with Variable Coefficients

... of linear and nonlinear ordinary and partial differential equations of integer and fractional order [19] [20] [21] [22] ...for nonlinear terms as required by some ex- isting ...

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Application of He's homotopy perturbation
method for solving Sivashinsky equation

Application of He's homotopy perturbation method for solving Sivashinsky equation

... in nonlinear problems has been developed by scientists and engineers, because this method continuously deforms the difficult problem under study into a simple problem which is easy to ...unify linear and ...

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Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations

Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations

... A new method proposed and coined by the authors as the homo-separation of variables method is utilized to solve systems of linear and nonlinear fractional partial differential equations ...

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Analytic Models for Acoustic Wave Propagation in Air

Analytic Models for Acoustic Wave Propagation in Air

... physical equations that govern both linear and nonlinear wave motion through the air, and presents the partial differential equation that describes the pressure variation of a medium as ...

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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

... mathematical differential equations associated with the real-life model that are intrinsically ...non-linear differential equations do not possess an analytical ...the nonlinear ...

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Extended Chiral Quark Models in the Framework of Quantum Chromodynamic: Theory and their Applications in Hot and Dense Mediums

Extended Chiral Quark Models in the Framework of Quantum Chromodynamic: Theory and their Applications in Hot and Dense Mediums

... Notice I have not integrated the right side yet for a reason. From here, another new concept is introduced. The new perception is called partial integration by parts. Partial integration by parts applies to ...

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A. One Dimensional Differential Transform Method

A. One Dimensional Differential Transform Method

... The structure of this paper is organized as follows. In section 2, we begin with some basic definitions and the use of the proposed method. In section 3, we apply the reduced differential transform method to solve ...

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Recent development in the theory of linear partial differential equations

Recent development in the theory of linear partial differential equations

... Differential Equations, Spectral Theory, Theory of Distributions, Pseudo-Differential Operator, Elliptic Differential KEY WORDS AND PHRASES... Opeor, Cauchy Problem.[r] ...

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Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

... This book is not intended to be comprehensive or encyclopaedic. It is de- signed for a one-semester course (i.e. 36-40 hours of lectures), and it is therefore strictly limited in scope. First, it deals mainly with ...

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Linear neutral partial differential equations: a semigroup approach

Linear neutral partial differential equations: a semigroup approach

... study linear neutral PDEs of the form (∂/∂t)F u t = BF u t +Φ u t , t ≥ 0; u 0 (t) = ϕ(t), t ≤ 0, where the function u(·) takes values in a Banach space ...

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A. One Dimensional Differential Transform Method

A. One Dimensional Differential Transform Method

... The structure of this paper is organized as follows. In section 2, we begin with some basic definitions and the use of the proposed method. In section 3, we apply the reduced differential transform method to solve ...

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An Upwind-mixed Finite Element Method with Moving Grids for Quasi-nonlinear Sobolev Equations

An Upwind-mixed Finite Element Method with Moving Grids for Quasi-nonlinear Sobolev Equations

... Abstract—An upwind-mixed finite element method with mov- ing grids is presented to simulate quasi-nonlinear Sobolev equations. This method is constructed by two methods. The upwind method is used to ...

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