A novel fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation (Q621021)
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scientific article; zbMATH DE number 5843697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A novel fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation |
scientific article; zbMATH DE number 5843697 |
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A novel fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation (English)
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2 February 2011
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The authors present a robust fitted operator finite difference method for the numerical solution of a singularly perturbed delay parabolic partial differential equation. This method is unconditionally stable and is convergent with order \(\mathcal O(k+h^2)\), where \(k\) and \(h\) are respectively the time and space step-sizes. The performance of the presented method is illustrated through some numerical experiments.
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delay parabolic partial differential equation
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singular perturbations
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fitted operator finite difference methods
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stability
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convergence
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numerical experiments
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