An Automatic Continuation Strategy for the Solution of Singularly Perturbed Linear Two-Point Boundary Value Problems

✍ Scribed by J.R. Cash; G. Moore; R.W. Wright

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 633 KB
• Volume: 122
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1995.1212

✦ Synopsis

An antomntis: continution nlyorithm for the solution of lingat singular perturbation problems is developed and incorporated into two codes which implement global methods for solving two-point boundary value problems. Specifically, the algorithm will be based upon error estimates formulated in the collocation code COLSYS and the deferred correction code HAGRON. The benefits of using continuation are clearly demonstrated for both codes for a large class of problems. (9) 1995 Academic Press, Inc.