Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices

Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh and Emran Tohidi

Applied Mathematics and Computation, 2017, vol. 298, issue C, 310-321

Abstract: In this paper, we propose and analyze an efficient matrix method based on shifted Legendre polynomials for the solution of non-linear volterra singular partial integro-differential equations(PIDEs). The operational matrices of integration, differentiation and product are used to reduce the solution of volterra singular PIDEs to the system of non-linear algebraic equations. Some useful results concerning the convergence and error estimates associated to the suggested scheme are presented. illustrative examples are provided to show the effectiveness and accuracy of proposed numerical method.

Keywords: Singular partial integro-differential equation; 2D shifted Legendre polynomial; Operational matrix of differentiation; Almost operational matrix of integration; Product operational matrix (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:298:y:2017:i:c:p:310-321

DOI: 10.1016/j.amc.2016.11.012

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