A note on a parameterized singular perturbation problem (Q557757)
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scientific article; zbMATH DE number 2184016
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a parameterized singular perturbation problem |
scientific article; zbMATH DE number 2184016 |
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A note on a parameterized singular perturbation problem (English)
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30 June 2005
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A finite difference scheme on a special piecewise uniform mesh for the numerical solution of the first-order boundary value problem \(\varepsilon u'(x)+ f(x,u,\lambda)= 0\), \(x\in (0,1]\), \(u(0)= A\), \(u(b)= B\) is analyzed. The authors prove that the method is first-order convergent except for a logarithmic factor. An iterative algorithm for solving the discrete problem is presented. One test problem is solved.
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Parameterized problem
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Singular perturbation
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Uniform convergence
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Finite difference scheme
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Shishkin mesh
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numerical example
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first-order boundary value problem
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iterative algorithm
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