Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419804 | Applied Mathematics and Computation | 2016 | 13 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh,