Results 41 to 50 of about 7,534 (134)

New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations

Mathematics, 2017
This paper introduces a new analytical technique (NAT) for solving a system of nonlinear fractional partial differential equations (NFPDEs) in full general set. Moreover, the convergence and error analysis of the proposed technique is shown.
Hayman Thabet, Subhash Kendre, Dimplekumar Chalishajar   +2 more
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STOCHASTIC STABILITY OF NONLINEAR FLUCTUATIONS IN VISCOELASTIC BODIES

Наука и техника, 2012
The paper considers a wave dynamics of a viscoelastic body (Kelvin – Voight model) which is described by a system of nonlinear differential equations in partial derivatives.
A. V. Chigarev, Yu. V. Chigarev, S. A. Pronkevich   +2 more
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Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method

Abstract and Applied Analysis, 2013
An extension of the so-called new iterative method (NIM) has been used to handle linear and nonlinear fractional partial differential equations. The main property of the method lies in its flexibility and ability to solve nonlinear equations accurately ...
A. A. Hemeda
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Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations

Abstract and Applied Analysis, 2014
We apply the homotopy perturbation method to obtain the solution of partial differential equations of fractional order. This method is powerful tool to find exact and approximate solution of many linear and nonlinear partial differential equations of ...
Asma Ali Elbeleze, Adem Kılıçman, Bachok M. Taib   +2 more
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Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method

AIP Advances, 2019
In this paper, we examine a modified auxiliary equation method. We applied this novel method on Wu-Zhang system. This model used to describe (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. This model is one of the
Mostafa M. A. Khater, Dianchen Lu, Raghda A. M. Attia   +2 more
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Unsteady Magnetohydrodynamics PDE of Monge–Ampère Type: Symmetries, Closed-Form Solutions, and Reductions

Mathematics
The paper studies an unsteady equation with quadratic nonlinearity in second derivatives, that occurs in electron magnetohydrodynamics. In mathematics, such PDEs are referred to as parabolic Monge–Ampère equations.
Andrei D. Polyanin, Alexander V. Aksenov
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Application of Modified Laplace Variational Iteration Hybrid Approach for Solving Time-Fractional Fourth-Order Parabolic PDEs

Journal of Applied Mathematics
The current study is aimed at obtaining analytical solutions of fourth-order parabolic partial differential equations of time-fractional derivative with variable coefficients.
Mehari Fentahun Endalew, Xiaoming Zhang
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Asymptotic waves from the point of view of double-scale method

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2006
In this paper the asymptotic waves (smooth solutions of nonlinear hyperbolic partial differential equations (PDEs)) are introduced from the point of view of double scale method, giving a physical interpretation of the new (fast) variable, related to the ...
Restuccia, L, Georgescu, A
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The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
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Research of Compatibility of the Redefined System for the Multidimensional Nonlinear Heat Equation (Special Case)

Известия Иркутского государственного университета: Серия "Математика", 2016
In paper the multidimensional equation of nonlinear heat conductivity is investigated. This equation is presented in the form of the overdetermined system of the differential equations with partial derivatives (the number of the equations are more than ...
G. Rudykh, E. Semenov
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