Improved error bounds for freezing solutions of linear boundary value problems

For the error in the freezing solutions of linear boundary value problems we obtain a bound which is sharper than that obtained recently by Shahruz and Schwartz [Appl. Math. Comput. 60 (1994) 285; Comput. Math. Appl. 28 (1994) 75]. A different freezing technique, “global freezing”, is also proposed....

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 94; no. 2; pp. 97 - 112
Main Authors: Qu, Ruibin, Agarwal, Ravi P.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 15.08.1998
Elsevier
Subjects:
Error analysis
Error estimates
Exact sciences and technology
Freezing techniques
Linear boundary value problems
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations, boundary value problems
Sciences and techniques of general use
Linear boundary value problems
Error estimates
Freezing techniques
Error analysis
Boundary value problem
Linear equation
Differential equation
Numerical solution
Partial differential equation
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:For the error in the freezing solutions of linear boundary value problems we obtain a bound which is sharper than that obtained recently by Shahruz and Schwartz [Appl. Math. Comput. 60 (1994) 285; Comput. Math. Appl. 28 (1994) 75]. A different freezing technique, “global freezing”, is also proposed. It is shown that this new technique is easy to implement for numerical computation of the solutions. Moreover, the corresponding solution has an error bound similar to that of the freezing method.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(97)10067-4