Collocation Approximation Methods for the Numerical Solutions of General nth Order Nonlinear Integro-Differential Equations by Canonical Polynomial

Taiwo O. A and Raji M. T

International Journal of Mathematical Research, 2012, vol. 1, issue 1, 5-20

Abstract: In this Paper, a method based on the Tau method by canonical polynomials as the basis function is developed to find the numerical solutions of general nth order nonlinear integro-differential equations. The differential parts appearing in the equation are used to construct the canonical polynomials and the nonlinear cases are linearized by the Newton’s linearization scheme of order n and hence resulted to the use of iteration. Numerical examples are given to illustrate the effectiveness, convergence and the computational cost of the methods.

Keywords: Canonical polynomial; Differential equation; Integro-differential equation; Linearization scheme (search for similar items in EconPapers)
Date: 2012
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