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

R. Chandra Guru Sekar and K. Murugesan

Applied Mathematics and Computation, 2016, vol. 273, issue C, 484-492

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.

Keywords: Volterra equations; Second order integro-differential equations of second kind; Single Term Walsh Series (STWS); Numerical methods (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:484-492

DOI: 10.1016/j.amc.2015.09.092

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