On the numerical solution of singularly perturbed problems with turning points. (Q1852493)

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scientific article; zbMATH DE number 1849212
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On the numerical solution of singularly perturbed problems with turning points.
scientific article; zbMATH DE number 1849212

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    On the numerical solution of singularly perturbed problems with turning points. (English)
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    26 June 2003
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    The author applies the method of special coordinate transformations that eliminate the singularities of the solutions to two-point boundary value problems for certain systems of second-order ordinary differential equations with a small parameter multiplying the highest order derivative. A numerical algorithm is described, and results of calculations of certain model problems are presented for various types of singularities.
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    small parameter
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    turning point
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    convergence
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    error estimates
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    singular perturbation
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    algorithm
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