VARIABLE MESH METHOD FOR A SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM

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RASHIDINIA J.

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Journal: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH) Year:2003 | Volume:14 | Issue:4 Page(s): 23-33

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Information Journal Paper

Title

VARIABLE MESH METHOD FOR A SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM

Author(s)

RASHIDINIA J. | Issue Writer Certificate

Keywords

SINGULAR BOUNDARY VALUE PROBLEMQ4

VARIABLE MESHQ4

WEIGHTED SUMQ4

CONVERGENCEQ4

MODIFIED NUMEROVS METHOD.Q4

Abstract

A three point VARIABLE MESH finite difference method of third order, have been derived to solve the singular two-point boundary value problems. The method reduces to a method of order four for the uniform mesh case and may be considered as a modification of the well known Numerov"s method. The methods are self starting and are exact for y=1/x. The CONVERGENCE of the fourth order method has also been discussed. The various measures of error for solution of two problems, using the methods and the fourth order method in [1] are listed. The numerical results are also compared with five well known classical methods to show the self starting and accuracy of the present methods. Subject Classifications: AMS 64L10, CR: G1.7

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APA: Copy

RASHIDINIA, J.. (2003). VARIABLE MESH METHOD FOR A SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), 14(4), 23-33. SID. https://sid.ir/paper/358059/en

Vancouver: Copy

RASHIDINIA J.. VARIABLE MESH METHOD FOR A SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH)[Internet]. 2003;14(4):23-33. Available from: https://sid.ir/paper/358059/en

IEEE: Copy

J. RASHIDINIA, “VARIABLE MESH METHOD FOR A SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM,” INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), vol. 14, no. 4, pp. 23–33, 2003, [Online]. Available: https://sid.ir/paper/358059/en

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