In this paper we use a deferred correction technique to construct high-order accurate finite differencediscretizations for systems of partial differential equations. The method is shown to be particularly well suited for a domain decomposition setting of the problem due to its narrow stencils requir
Fourth-Order Difference Methods for Hyperbolic IBVPs
β Scribed by Bertil Gustafsson; Pelle Olsson
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 602 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0021-9991
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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
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