Numerical solution of singular perturbation problems via deviating arguments (Q580918)

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scientific article; zbMATH DE number 4018275
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Numerical solution of singular perturbation problems via deviating arguments
scientific article; zbMATH DE number 4018275

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    Numerical solution of singular perturbation problems via deviating arguments (English)
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    1987
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    A new approach to solve numerically linear singularly perturbed two-point boundary value problems in ordinary differential equations with a boundary layer on the left end of the interval is proposed. The original problem is divided into inner and outer region problems, a terminal boundary condition in implicit form is derived, and the two problems are solved as two-point boundary value problems. The method is iterative on the terminal point of the inner region. Three examples are given to demonstrate the applicability of the method.
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    iterative 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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