On the convergence of a fourth-order method for a class of singular boundary value problems

Authors:
R. K. Pandey;Arvind K. Singh
Affiliations:
Department of Mathematics, IIT, Kharagpur-721302, India;Department of Mathematics, Banaras Hindu University, Varanasi-221005, India
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 4
Cited 0

A fourth order method for a singular two-point boundary value problem

BIT
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An application of Chawla's identity to a different scheme for singular problems

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Correction method and extrapolation method for singular two-point boundary value problems

Journal of Computational and Applied Mathematics

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Abstract

In the present paper we extend the fourth order method developed by Chawla et al. [M.M. Chawla, R. Subramanian, H.L. Sathi, A fourth order method for a singular two-point boundary value problem, BIT 28 (1988) 88-97] to a class of singular boundary value problems (p(x)y^')^'=p(x)f(x,y),0=0 is a non-negative function. The order of accuracy of the method is established under quite general conditions on f(x,y) and is also verified by one example. The oxygen diffusion problem in a spherical cell and a nonlinear heat conduction model of a human head are presented as illustrative examples. For these examples, the results are in good agreement with existing ones.