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Abstract
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Article Information:
A Numerical Approach for Solving a General Nonlinear Wave Equation
Zainal Abdul Aziz, Nazeeruddin Yaacob, Mohammadreza Askaripour Lahiji, Mahdi Ghanbari and C.C. Dennis Ling
Corresponding Author: Mahdi Ghanbari
Submitted: May 24, 2012
Accepted: June 21, 2012
Published: October 01, 2012 |
Abstract:
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An analysis of various numerical schemes and boundary conditions on a general nonlinear wave
equation is considered in this study. In particular, the Lax-Wendroff, Leapfrog and Iterated Crank
Nicholson methods with Dirichlet boundary conditions are used to solve this nonlinear wave equation. The
computation of the solution is made via the reduction of the nonlinear wave equation to the two variable
and three variable systems.
Key words: Crank-Nicholson method , lax-wendroff method, leapfrog method, solution of nonlinear wave equation , three variable system, two variable system,
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Cite this Reference:
Zainal Abdul Aziz, Nazeeruddin Yaacob, Mohammadreza Askaripour Lahiji, Mahdi Ghanbari and C.C. Dennis Ling , . A Numerical Approach for Solving a General Nonlinear Wave Equation. Research Journal of Applied Sciences, Engineering and Technology, (19): 3858-3864.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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