Operational matrix approach for the solution of partial integro-differential equation

Somveer Singh, Vijay Kumar Patel and Vineet Kumar Singh

Applied Mathematics and Computation, 2016, vol. 283, issue C, 195-207

Abstract: In this paper, an effective numerical method is introduced for the treatment of Volterra singular partial integro-differential equations. They are based on the operational and almost operational matrix of integration and differentiation of 2D shifted Legendre polynomials. The methods convert the singular partial integro-differential equation in to a system of algebraic equations. Convergence analysis and error estimates are derived for the proposed method. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Keywords: Two-dimensional singular partial integro-differential equation; 2D shifted Legendre polynomial; Operational matrix of differentiation; Almost operational matrix of integration (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:283:y:2016:i:c:p:195-207

DOI: 10.1016/j.amc.2016.02.036

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