A priori error estimates for Corrington's Walsh function method

✍ Scribed by B.G. Sloss; W.F. Blyth

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 494 KB
• Volume: 331
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(94)90100-7

✦ Synopsis

Corrington introduceda Walsh,function methodfor solving differential equations. In this paper, suf$cient conditions ,for the convergence of CorringtonS method are derived. Also, a priori error estimates are given in L2 norm for the approximation qf the highest order derivative appearing in the differential equation. The solution to the differential equation may be recovered by integrating this high order derivative.