Results 11 to 20 of about 14,211,873 (126)
Implicit methods for the simple wave equation [PDF]
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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Entropy, 2020 The goal of this article is to discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations and to show that several well-known methods for obtaining exact solutions of such equations are connected ...
Nikolay K. Vitanov +2 more
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New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod
Results in Physics, 2018 This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
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Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data [PDF]
, 2013 We apply the trial method for the solution of Bernoulli’s free boundary problem when the Dirichlet boundary condition is imposed for the solution of the underlying Laplace equation and the free boundary is updated according to the Neumann boundary ...
Giannoula Mitrou +3 more
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Solitons and other solutions to Wu–Zhang system
Nonlinear Analysis, 2017 This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves and singular solitary waves solutions.
Mohammad Mirzazadeh +5 more
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Trial methods for Bernoulli's free boundary problem [PDF]
, 2014 Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation
Entropy, 2015 In this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions ...
Seyma Tuluce Demiray, Hasan Bulut
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Exact solutions of nonlinear Schrodinger’s equation with dual power-law nonlinearity by extended trial equation method [PDF]
Waves in Random and Complex Media, 2014 In this paper, we acquire the soliton solutions of the nonlinear Schrodinger's equation with dual power-law nonlinearity. Primiraly, we use the extended trial equation method to find exact solutions of this equation. Then, we attain some exact solutions including soliton solutions, rational and elliptic function solutions of this equation by using the ...
Bulut, Hasan +2 more
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Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM
Journal of the European Optical Society-Rapid Publications, 2018 Background This paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity. Methods Two integration approaches, namely, the extended trial equation method (ETEM) and the improved G’/Gexpansion method (IGEM) are presented ...
Mohammadreza Foroutan +2 more
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
White, Craig +4 more
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