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The Pseudospectral Legendre Method for a Class of Singular Boundary Value Problems Arising in Physiology

¹ Department of Mathematics, Kurdistan University, Sanandaj, Iran
² Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA
³ Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran

^* To whom correspondence should be addressed. E-mail: razzaghi{at}math.msstate.edu.

	Abstract

This paper presents a computational technique for the solution of a class of nonlinear singular boundary value problems arising in physiology. The approach is based on a pseudospectral Legendre method in which Legendre–Gauss–Lobatto nodes are used to construct the Nth degree polynomial interpolation to approximate the solution. The method is easy to implement and yields accurate results. Illustrative examples are included to demonstrate the capability of the proposed method, and a comparison is made with existing methods in the literature.

First published on July 6, 2009
Journal of Vibration and Control 2009, doi:10.1177/1077546309103283


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