Numerical solution of an equation with a small parameter on an infinite interval (Q1571268)
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scientific article; zbMATH DE number 1472992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of an equation with a small parameter on an infinite interval |
scientific article; zbMATH DE number 1472992 |
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Numerical solution of an equation with a small parameter on an infinite interval (English)
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30 July 2000
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The author considers linear and nonlinear second-order ordinary differential equations that contain a small parameter multiplying the highest order derivative on the semiaxis. A transition to a finite interval is performed, and the error arising from this transition is estimated. The uniform convergence of an upwind difference scheme for the reduced problem is substantiated.
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nonlinear second-order differential equation
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small parameter
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singular perturbation
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error bound
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difference scheme
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convergence
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infinite interval
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