Completely exponentially finite difference methods for problems of turning point (Q1187792)
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scientific article; zbMATH DE number 39698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Completely exponentially finite difference methods for problems of turning point |
scientific article; zbMATH DE number 39698 |
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Completely exponentially finite difference methods for problems of turning point (English)
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23 July 1992
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The authors study under some conditions the two-point boundary value problem \(\varepsilon u''+p(x)u'-q(x)u=f(x)\) for \(x\in ]-a,b[\) with \(u(- a)=A\) and \(u(b)=B\). A difference scheme is given. It is proved that the solution of this scheme converges uniformly of the first order to the solution of the boundary value problem. A numerical example is given.
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completely exponentially finite difference methods
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turning point
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convergence
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singular perturbation
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two-point boundary value problem
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difference scheme
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numerical example
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