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Differential equations with piecewise approximate coefficients: Discrete and continuous estimation for initial and boundary value problems

โœ Scribed by M.K. El-Daou; S. Namasivayam; E.L. Ortiz


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
754 KB
Volume
24
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


Atmtract~We give sharp error estimates for both function and derivative when the coefficients and right hand side of a given initial or boundary value problem for ordinary differential equations are replaced by local appro3dmations. These estimates are given for partition points and also contlnuously on subintervals. Numerical examples demonstrate the accuracy of our estimates.


๐Ÿ“œ SIMILAR VOLUMES


A PIECEWISEโ€“LINEARIZED METHOD FOR ORDINA
โœ C. M. GARCรA-Lร“PEZ; J. I. RAMOS ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 735 KB

Piecewise-linearized methods for the solution of two-point boundary value problems in ordinary differential equations are presented. These problems are approximated by piecewise linear ones which have analytical solutions and reduced to finding the slope of the solution at the left boundary so that