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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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Citations: 
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+ Click to Cite.
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. https://www.sid.ir/en/journal/ViewPaper.aspx?id=3571



Vancouver: Copy

RASHIDINIA J.. VARIABLE MESH METHOD FOR A SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH). 2003 [cited 2021October25];14(4):23-33. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=3571



IEEE: Copy

RASHIDINIA, J., 2003. VARIABLE MESH METHOD FOR A SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH), [online] 14(4), pp.23-33. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=3571.



 
 
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