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- W2948033830 abstract "This paper deals with devising a novel exponential scheme, implicit in nature, using half step discretization of order four for computing the numerical solution of quasi-linear elliptic partial differential equations of the type γ(x,y,w)wxx+ψ(x,y,w)wyy=g(x,y,w,wx,wy), (x,y)∈(0,1)×(0,1). Nine mesh points in a single compact cell are being used in this method. An elaborate convergence analysis of the proposed method has been worked out. The technique for a scalar equation is eventually extended to solve the systems of quasi-linear elliptic equations. The technique is then applied to noteworthy problems and computational outcomes corroborate the theoretical rate of convergence. Linear and non-linear singular problems are tackled separately ensuring the usage of nine spatial grid points of a single computing cell." @default.
- W2948033830 created "2019-06-14" @default.
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- W2948033830 date "2019-05-04" @default.
- W2948033830 modified "2023-09-27" @default.
- W2948033830 title "Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations" @default.
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- W2948033830 doi "https://doi.org/10.1080/10236198.2019.1624737" @default.
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