On a fourth-order finite-difference method for singularly perturbed boundary value problems (Q2378994)
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| Language | Label | Description | Also known as |
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| English | On a fourth-order finite-difference method for singularly perturbed boundary value problems |
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On a fourth-order finite-difference method for singularly perturbed boundary value problems (English)
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14 January 2009
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The authors presented a fourth-order finite difference method for singularly perturbed one-dimensional reaction-diffusion boundary-value problems. The domain is discretized by using a layer-adapted Bakhvalov-type mesh. Parameter-uniform convergence results are obtained. Numerical examples are provided to validate the theoretical fourth-order convergence of the method.
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singular perturbation
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non-equidistant grid
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uniform convergence
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fourth-order finite difference method
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reaction-diffusion boundary-value problems
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layer-adapted Bakhvalov-type mesh
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numerical examples
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fourth-order convergence
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