Generalization of a finite difference method to a class of elliptic problems (Q2549570)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of a finite difference method to a class of elliptic problems |
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Generalization of a finite difference method to a class of elliptic problems (English)
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1969
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The following ``weakly nonlinear'' problem is considered: \(L[u(P)]=H(P,u)\) with \(P\in\Omega\), \(u(P) = g(P)\) with \(P\in\partial\Omega\), \(L\) is a linear elliptic operator, \(\Omega\) a bounded, plane, open region and \(g(P)\) a continuous function in \(\Omega+\partial\Omega\). The solution is obtained using a finite-difference scheme, and sufficient conditions for its convergence are given.
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