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Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations

Author

Listed:
  • Hassan Eltayeb
  • Adem Kılıçman
  • Said Mesloub

Abstract

We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM). The technique is based on the application of Sumudu transform to nonlinear coupled Volterra integrodifferential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of three examples and results of the present technique have close agreement with approximate solutions which were obtained with the help of Adomian decomposition method (ADM).

Suggested Citation

  • Hassan Eltayeb & Adem Kılıçman & Said Mesloub, 2014. "Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:503141
    DOI: 10.1155/2014/503141
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    References listed on IDEAS

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    1. Adem Kiliçman & Hassan Eltayeb & Ravi P. Agarwal, 2010. "On Sumudu Transform and System of Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. Abdul-Majid Wazwaz, 2011. "Linear and Nonlinear Integral Equations," Springer Books, Springer, number 978-3-642-21449-3, March.
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