A higher-order method for nonlinear singular two-point boundary value problems
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 ca...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202013133 |
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Article |
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doaj-83bcc8927b874f6aad867f49c529e1cf2020-11-24T22:05:27ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130525726910.1155/S0161171202013133A higher-order method for nonlinear singular two-point boundary value problemsK. M. Furati0M. A. El-Gebeily1Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaWe 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)=xα, α≥1.http://dx.doi.org/10.1155/S0161171202013133 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
K. M. Furati M. A. El-Gebeily |
| spellingShingle |
K. M. Furati M. A. El-Gebeily A higher-order method for nonlinear singular two-point boundary value problems International Journal of Mathematics and Mathematical Sciences |
| author_facet |
K. M. Furati M. A. El-Gebeily |
| author_sort |
K. M. Furati |
| title |
A higher-order method for nonlinear singular two-point boundary value problems |
| title_short |
A higher-order method for nonlinear singular two-point boundary value problems |
| title_full |
A higher-order method for nonlinear singular two-point boundary value problems |
| title_fullStr |
A higher-order method for nonlinear singular two-point boundary value problems |
| title_full_unstemmed |
A higher-order method for nonlinear singular two-point boundary value problems |
| title_sort |
higher-order method for nonlinear singular two-point boundary value problems |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
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)=xα, α≥1. |
| url |
http://dx.doi.org/10.1155/S0161171202013133 |
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AT kmfurati ahigherordermethodfornonlinearsingulartwopointboundaryvalueproblems AT maelgebeily ahigherordermethodfornonlinearsingulartwopointboundaryvalueproblems AT kmfurati higherordermethodfornonlinearsingulartwopointboundaryvalueproblems AT maelgebeily higherordermethodfornonlinearsingulartwopointboundaryvalueproblems |
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