A higher-order method for nonlinear singular two-point boundary value problems

K. M. Furati; M. A. El-Gebeily

doi:10.1155/S0161171202013133

A higher-order method for nonlinear singular two-point boundary value problems

K. M. Furati, M. A. El-Gebeily

Research output: Contribution to journal › Article › peer-review

Abstract

We present a finite difference method for a general class of nonlinear singular two-point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported methods. The method yields a fourth-order convergence for the special case p (x) = w (x) = xa, a≥

Original language	English
Pages (from-to)	257-269
Number of pages	13
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	30
Issue number	5
DOIs	https://doi.org/10.1155/S0161171202013133
State	Published - 2002

ASJC Scopus subject areas

Mathematics (miscellaneous)

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title = "A higher-order method for nonlinear singular two-point boundary value problems",

abstract = "We present a finite difference method for a general class of nonlinear singular two-point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported methods. The method yields a fourth-order convergence for the special case p (x) = w (x) = xa, a≥",

author = "Furati, \{K. M.\} and El-Gebeily, \{M. A.\}",

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AB - We present a finite difference method for a general class of nonlinear singular two-point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported methods. The method yields a fourth-order convergence for the special case p (x) = w (x) = xa, a≥

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U2 - 10.1155/S0161171202013133

DO - 10.1155/S0161171202013133

M3 - Article

AN - SCOPUS:17844389095

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JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 5

ER -

A higher-order method for nonlinear singular two-point boundary value problems

Abstract

ASJC Scopus subject areas

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