A comparison between two different methods for solving KdV–Burgers equation

M.A. Helal and M.S. Mehanna

Chaos, Solitons & Fractals, 2006, vol. 28, issue 2, 320-326

Abstract: This paper presents two methods for finding the soliton solutions to the nonlinear dispersive and dissipative KdV–Burgers equation. The first method is a numerical one, namely the finite differences with variable mesh. The stability of the numerical scheme is discussed. The second method is the semi-analytic Adomian decomposition method. Test example is given. A comparison between the two methods is carried out to illustrate the pertinent feature of the proposed algorithm.

Date: 2006
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:2:p:320-326

DOI: 10.1016/j.chaos.2005.06.005

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