A fourth-order finite difference method for a class of singular two-point boundary value problems

Authors:
Manoj Kumar
Affiliations:
Department of applied Mathematics, Z.H. College of Engineering and Technology, Aligarh Muslim University, Aligarh 202 002, Uttar Pradesh, India
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 4
Cited 1

A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems

Journal of Computational and Applied Mathematics
On the convergence of finite difference methods for a class of two-point boundary value problems with periodic boundary conditions

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Finite difference methods for certain singular two-point boundary value problems

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An efficient finite difference method for two-point boundary value problems

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A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method

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Abstract

A method is described based on a non-uniform mesh for the class of singular two-point boundary value problems (xαy')' = f(x,y), 0 x ≤ 1, y(0) = A, y(1) = B. It is shown to be order h4 convergent for all α ∈ (0, 1).