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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Vydané v:	Applied mathematics and computation Ročník 94; číslo 2; s. 97 - 112
Hlavní autori:	Qu, Ruibin, Agarwal, Ravi P.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York, NY Elsevier Inc 15.08.1998 Elsevier
Predmet:	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
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Shrnutí:	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.
Bibliografia:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0096-3003 1873-5649
DOI:	10.1016/S0096-3003(97)10067-4