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On the convergence of fourth-order finite difference method for weakly regular singular boundary value problems

✍ Scribed by Pandey, R. K.; Singh†, Arvind K.

Book ID
119957661
Publisher
Taylor and Francis Group
Year
2004
Tongue
English
Weight
144 KB
Volume
81
Category
Article
ISSN
0020-7160

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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