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The solution of Klein–Gordon equation by using modified Adomian decomposition method

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  • Saelao, Jeerawan
  • Yokchoo, Natsuda

Abstract

In this paper, a modification of Adomian decomposition method is used to find a solution of linear and nonlinear Klein–Gordon equation. The modified Adomian decomposition method is based conventional Adomian decomposition method that requires calculation of the first Adomian polynomial. This method is very effective, easy to calculate, solution has faster convergence than traditional Adomian decomposition method and can be applied to other nonlinear problems. The demonstration of the efficiency of this method with Klein–Gordon equation has been illustrated via four examples such as homogeneous linear, inhomogeneous linear and nonlinear.

Suggested Citation

  • Saelao, Jeerawan & Yokchoo, Natsuda, 2020. "The solution of Klein–Gordon equation by using modified Adomian decomposition method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 94-102.
    • Handle: RePEc:eee:matcom:v:171:y:2020:i:c:p:94-102
    DOI: 10.1016/j.matcom.2019.10.010
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    References listed on IDEAS

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    1. Vadivoo, B.Sundara & Raja, R. & Seadawy, R. Aly & Rajchakit, G., 2019. "Nonlinear integro-differential equations with small unknown parameters: A controllability analysis problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 15-26.
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    Cited by:

    1. Samad Noeiaghdam & Denis Sidorov & Abdul-Majid Wazwaz & Nikolai Sidorov & Valery Sizikov, 2021. "The Numerical Validation of the Adomian Decomposition Method for Solving Volterra Integral Equation with Discontinuous Kernels Using the CESTAC Method," Mathematics, MDPI, vol. 9(3), pages 1-15, January.

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