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A fourth-order accurate method for fourth-order two-point nonlinear boundary value problems

โœ Scribed by S.I.A. Tirmizi

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
244 KB
Volume
1
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

A fourth-order accurate finite difference method is developed for a class of fourth order nonlinear two-point boundary value problems. The method leads to a pentadiagonal scheme in the linear cases, which often arise in the beam deflection theory. The convergence of the method is tested numerically on examples from the literature.

๐Ÿ“œ SIMILAR VOLUMES

Fourth-order compact finite difference m
Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems
โœ Yuan-Ming Wang; Ben-Yu Guo ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 638 KB

A compact finite difference method with non-isotropic mesh is proposed for a two-dimensional fourth-order nonlinear elliptic boundary value problem. The existence and uniqueness of its solutions are investigated by the method of upper and lower solutions, without any requirement of the monotonicity