Picard's successive approximation for non-linear two-point boundary-value problems

✍ Scribed by M Lal; D Moffatt

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 255 KB
• Volume: 8
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/0771-050x(82)90045-6

✦ Synopsis

It is demonstrated that Picard's successive approximation provides a simple and efficient method for solving linear and non-linear two-point boundary-value problems. For problems, where intrinsic convergence is slow, the method can be readily modified to speed up convergence.