Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 55, Issue 3-4, Pages 1363-1372Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.10.015
Keywords
Bernstein polynomial; Operational matrix; Integro-differential equations system
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In this paper, we present some efficient direct solvers for solving a system of high order linear Volterra-Fredholm integro-differential equations (VFIDEs). A new approach implementing a collocation method in combination with operational matrices of Bernstein polynomials for the numerical solution of VFIDEs is introduced. The main characteristic behind this approach is that it reduces such problems to ones of solving systems of algebraic equations. Only a small number of Bernstein polynomials are needed to obtain a satisfactory result. Numerical results with comparisons are given to confirm the reliability of the proposed method for solving systems of high order linear VFIDEs. (C) 2011 Elsevier Ltd. All rights reserved.
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