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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 729Numerical Solution of the Nonlinear Wave Equation...

Numerical Solution of the Nonlinear Wave Equation via Fourth-Order Time Stepping

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Abstract:

Some nonlinear wave equations are more difficult to solve analytically. Exponential Time Differencing (ETD) technique requires minimum stages to obtain the required accurateness, which suggests an efficient technique relating to computational duration that ensures remarkable stability characteristics upon resolving the nonlinear wave equations. This article solves the non-diagonal example of Fisher equation via the exponential time differencing Runge-Kutta 4 method (ETDRK4). Implementation of the method is demonstrated by short Matlab programs.

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Materials, Mechanics and Information Engineering

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Periodical:

Applied Mechanics and Materials (Volume 729)

Pages:

213-219

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.729.213

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Online since:

January 2015

Authors:

Mohammadreza Askaripour Lahiji, Zainal Abdul Aziz*

Keywords:

Exponential Methods, Exponential Time Differencing Methods, Fisher Equation, Nonlinear Wave Equation, Runge-Kutta Method

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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