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- W2182183775 abstract "In this paper, a class of elliptic partial differential equations (PDEs) is considered. A sufficient condition for the existence and uniqueness of a solution to the problem is obtained. Discretizing the equation by the finite difference method yields a linear system whose matrix is nonsymmetric and banded. We show that under a certain condition the discretization parameter can be chosen small enough so that the linear system has a unique solution. An algorithm is presented to build the matrix and the vector on the right-hand side of the linear system. The numerical tests performed confirm the efficiency of the algorithm. Mathematics Subject Classification: 65F." @default.
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- W2182183775 date "2006-01-01" @default.
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- W2182183775 title "On the solution of a class of elliptic problems" @default.
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- W2182183775 doi "https://doi.org/10.12988/imf.2006.06040" @default.
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