About the central difference method for singularly perturbed boundary value problems (Q1899314)
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scientific article; zbMATH DE number 803531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About the central difference method for singularly perturbed boundary value problems |
scientific article; zbMATH DE number 803531 |
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About the central difference method for singularly perturbed boundary value problems (English)
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9 October 1995
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The author analyzes the central difference scheme applied to the linear second-order equation \(\varepsilon x''= a(t) x'+ b(t)x+ f(t)\), with two- point boundary conditions \(x(t_0)= x_0\), \(x(t_f)= x_f\), assuming \(a(t)<0\). A class of nonuniform meshes is proposed, which ensures accuracy in the layer and stability as well as second-order convergence elsewhere.
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central difference scheme
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linear second-order equation
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nonuniform meshes
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stability
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convergence
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