Paper Information

Journal:   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH)   Fall 2003 , Volume 14 , Number 4; Page(s) 23 To 33.
 
Paper: 

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

 
 
Author(s):  RASHIDINIA J.*
 
* Tehran-Iran
 
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
 
Keyword(s): SINGULAR BOUNDARY VALUE PROBLEM, VARIABLE MESH, WEIGHTED SUM, CONVERGENCE, MODIFIED NUMEROVS METHOD.
 
References: 
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