The Green function and a priori estimates of solutions of monotone three-point singularly perturbed finite-difference schemes (Q1603174)
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scientific article; zbMATH DE number 1758767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Green function and a priori estimates of solutions of monotone three-point singularly perturbed finite-difference schemes |
scientific article; zbMATH DE number 1758767 |
Statements
The Green function and a priori estimates of solutions of monotone three-point singularly perturbed finite-difference schemes (English)
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5 December 2002
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The author considers second-order Sturm-Liouville differential equations with a small parameter multiplying the second order differential term. The finite difference analogues are formulated and Green's functions are developed. Bounds for the norms of the solutions are obtained in terms of the norms of the exciting functions. The analysis is given for analogues with the differences being arbitrarily non-uniform.
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error bounds
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singular perturbation
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second-order Sturm-Liouville differential equations
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small parameter
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finite difference
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Green's functions
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