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Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method

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  • Inc, Mustafa

Abstract

A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the modified Korteweg-de Vries (mKdV) equations with initial conditions by a variational approach. The exact and numerical solutions obtained by variational iteration method are compared with those obtained by Adomian decomposition method. The comparison shows that the obtained solutions are in excellent agreement.

Suggested Citation

  • Inc, Mustafa, 2007. "Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1075-1081.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:4:p:1075-1081
    DOI: 10.1016/j.chaos.2006.04.069
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    Cited by:

    1. Darvishi, M.T. & Khani, F., 2009. "Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2484-2490.
    2. Fesanghary, M. & Pirbodaghi, T. & Asghari, M. & Sojoudi, H., 2009. "A new analytical approximation to the Duffing-harmonic oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 571-576.
    3. Goh, S.M. & Noorani, M.S.M. & Hashim, I., 2009. "Efficacy of variational iteration method for chaotic Genesio system – Classical and multistage approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2152-2159.

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