Systems of nonlinear Volterra integro‐differential equations

Systems of nonlinear Volterra integro‐differential equations

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Article ID: iaor2012261
Volume: 59
Issue: 2
Start Page Number: 197
End Page Number: 212
Publication Date: Feb 2012
Journal: Numerical Algorithms
Authors: ,
Keywords: differential equations
Abstract:

An efficient method based on operational Tau matrix is developed, to solve a type of system of nonlinear Volterra integro‐differential equations (IDEs). The presented method is also modified for the problems with separable kernel. Error estimation of the new schemes are analyzed and discussed. The advantages of this approach and its modification is that, the solution can be expressed as a truncated Taylor series, and the error function at any stage can be estimated. Methods are applied on the four problems with separable kernel to show the applicability and efficiency of our schemes, specially for those problems at broad intervals.

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