Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system

P.K. Sahu and S.Saha Ray

Applied Mathematics and Computation, 2015, vol. 256, issue C, 715-723

Abstract: In this paper, Legendre wavelet method is developed to approximate the solutions of system of nonlinear Volterra integro-differential equations. The properties of Legendre wavelets are first presented. The properties of Legendre wavelets are used to reduce the system of integral equations to a system of algebraic equations which can be solved numerically by Newton’s method. Also, the results obtained by present method have been compared with that of by B-spline wavelet method. Illustrative examples have been discussed to demonstrate the validity and applicability of the present method.

Keywords: Legendre wavelets; Integro-differential equations; System of nonlinear Volterra integral equations; Legendre wavelet method (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:715-723

DOI: 10.1016/j.amc.2015.01.063

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