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Matrix representations of fourth order boundary value problems with finite spectrum

โœ Scribed by Ji-jun Ao; Jiong Sun; Anton Zettl


Book ID
113772140
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
247 KB
Volume
436
Category
Article
ISSN
0024-3795

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Fourth-order compact finite difference m
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