The method of structure matching of the solution of the model Lighthill equation with a regular singular point (Q2473670)
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| English | The method of structure matching of the solution of the model Lighthill equation with a regular singular point |
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The method of structure matching of the solution of the model Lighthill equation with a regular singular point (English)
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4 March 2008
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The method of structure matching is a simplification and generalization of the Van Dyke method of construction of the uniformly valid asymptotic solutions for equations with a small parameter. In the present paper, the authors use the method of structure matching to construct a uniform asymptotics of the solution to a Lighthill equation with a regular singular point for the case when the corresponding unperturbed equation has a pole of arbitrary natural order at the origin.
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model lighthill equation
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structural joining method
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Van Dyke method
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regular singular point
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uniform asymptotics
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small parameter
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