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Approximate method for the numerical solution of singular perturbation problems - MaRDI portal

Approximate method for the numerical solution of singular perturbation problems (Q580917)

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scientific article; zbMATH DE number 4018274
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Approximate method for the numerical solution of singular perturbation problems
scientific article; zbMATH DE number 4018274

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    Approximate method for the numerical solution of singular perturbation problems (English)
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    1987
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    The authors propose an approximate method for the numerical treatment of linear singularly perturbed two-point boundary value problems with a boundary layer on the left end of the given interval. The original problem is converted into inner and outer region problems and the trapezoidal formula coupled with a discrete invariant imbedding algorithm is used to obtain numerical solution. Three examples are included to demonstrate the applicability of the proposed method.
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    numerical examples
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    linear singularly perturbed two-point boundary value problems
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    boundary layer
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    trapezoidal formula
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    discrete invariant imbedding algorithm
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