A method of solving stiff boundary-value problems based on operator splitting

✍ Scribed by A.A. Abramov; L.M. Alvarez

• Book ID: 104263338
• Publisher: Elsevier Science
• Year: 1989
• Weight: 412 KB
• Volume: 29
• Category: Article
• ISSN: 0041-5553
• DOI: 10.1016/s0041-5553(89)80023-0

✦ Synopsis

An iterative method of solving some stiff linear boundary-value problems for equations of fourth and second order is constructed.

The rate of convergence is shown to be not slower than for a geometric progression whose ratio decreases as the stiffness parameter of the original equation increases.

Results of some numerical experiments are presented.