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High-Order Numerical Method for Two-Point Boundary Value Problems

✍ Scribed by Dianyun Peng

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
224 KB
Volume
120
Category
Article
ISSN
0021-9991

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✦ Synopsis

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 compact difference scheme is presented for the first-order system. It is a block-bidiagonal profile and removes the limits of other high-order discrete schemes at the interval ends. The numerical tests of a seventh-order compact difference scheme show that the proposed scheme is very convenient and efficient for linear and nonlinear two-point boundary value problems. 1995 Academic Press, Inc.

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