๐”– Bobbio Scriptorium
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On approximate Picard's iterates for multipoint boundary value problems

โœ Scribed by Ravi P. Agarwal; S.L. Loi

Book ID
107967259
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
549 KB
Volume
8
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Picard's successive approximation for no
Picard's successive approximation for non-linear two-point boundary-value problems
โœ M Lal; D Moffatt ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 255 KB

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.

Multipoint Boundary Value Problems for O
Multipoint Boundary Value Problems for Ordinary Differential Systems
โœ P.W. Eloe; J. Henderson ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 292 KB

Solutions, \(u(x)\), of the first order system, \(u^{\prime}=f(x, u)\), satisfying the multipoint boundary conditions, \(\sum_{i=1}^{k} M_{i} u\left(x_{j}\right)=r\), are differentiated with respect to the components of \(r\) and with respect to the boundary points, \(x_{j}\), where \(M_{1}, \ldots,