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High order discrete method for a class of two-point boundary value problems with periodic boundary conditions

โœ Scribed by C.P. Katti; S.N. Baboo

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
636 KB
Volume
21
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

In this paper, we present a new J-point finite difference scheme for the class of twopoint boundary value problems with periodic boundary conditions: y" + f(z, y) = 0, 0 < I 5 1, y(0) = y(l), y'(0) = y'(1). Under suitable conditions on $$, and for y E C6[0, 11, it is shown that our finite difference method (based on three evaluations of f) is 0(h4)-convergent.

The results are illustrated by several numerical examples.

๐Ÿ“œ SIMILAR VOLUMES

High-Order Numerical Method for Two-Poin
High-Order Numerical Method for Two-Point Boundary Value Problems
โœ Dianyun Peng ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 224 KB

In this paper the two-point boundary value problem is transformed into general first-order ordinary differential equation system through introduction of conditions of an integral character to supplement the simultaneous set of first-order equations. A new discrete approximation of a high-order compa