HIGH ORDER METHODS FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS

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RASHIDINIA J.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH) Year:2006 | Volume:17 | Issue:2 Page(s): 15-21

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Title

HIGH ORDER METHODS FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS

Author(s)

RASHIDINIA J. | Issue Writer Certificate

Keywords

ORDINARY DIFFERENTIAL EQUATIONS

SINGULAR BOUNDARY VALUE PROBLEM

FINITE DIFFERENCES

CONVERGENCE ANALYSIS

Abstract

Variable mesh finite difference method of fifth order have been derived for solution of singular two point boundary value problem, which reduces to the method of order six, for uniform mesh case. These methods are self starting and are exact for u=r-1. The convergence of the sixth order method is discussed. The absolute error, for solution of four problems, two linear and two nonlinear are listed to show the accurate and effectiveness of the present method.

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APA: Copy

RASHIDINIA, J.. (2006). HIGH ORDER METHODS FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), 17(2), 15-21. SID. https://sid.ir/paper/540731/en

Vancouver: Copy

RASHIDINIA J.. HIGH ORDER METHODS FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH)[Internet]. 2006;17(2):15-21. Available from: https://sid.ir/paper/540731/en

IEEE: Copy

J. RASHIDINIA, “HIGH ORDER METHODS FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS,” INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), vol. 17, no. 2, pp. 15–21, 2006, [Online]. Available: https://sid.ir/paper/540731/en

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