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System of linear second order Volterra integro-differential equations using Single Term Walsh Series technique

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  • Chandra Guru Sekar, R.
  • Murugesan, K.

Abstract

In this article, we deal with a system of linear second order Volterra integro-differential equations of the second kind and their numerical solutions using Single Term Walsh Series (STWS) technique. The given system of linear second order Volterra integro-differential equations of the second kind is converted into a linear system of algebraic equations. Solving this linear system of algebraic equations, we find the discrete solutions to the system of linear second order Volterra integro-differential equations of the second kind. Numerical examples are presented and the numerical results are compared with the one of the spectral methods, Chebyshev polynomial method to show the efficiency of the STWS method.

Suggested Citation

  • Chandra Guru Sekar, R. & Murugesan, K., 2016. "System of linear second order Volterra integro-differential equations using Single Term Walsh Series technique," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 484-492.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:484-492
    DOI: 10.1016/j.amc.2015.09.092
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    References listed on IDEAS

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    1. Biazar, J. & Ghazvini, H. & Eslami, M., 2009. "He’s homotopy perturbation method for systems of integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1253-1258.
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