The decomposition method and linear partial differential equations (Q1802473)

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scientific article; zbMATH DE number 203439
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The decomposition method and linear partial differential equations
scientific article; zbMATH DE number 203439

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    The decomposition method and linear partial differential equations (English)
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    4 January 1994
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    The author describes a few simple examples when the known solution can be approximated analytically by a sum of terms defined in accordance with a recurrent relation. The choice of the recurrent scheme and the study of convergence of the series is an open problem. It should be noted that there are well-known results dealing with appropriate expansions, for example, for problems with a small parameter.
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    expansions of the solution
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    analytical representation
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    recurrent relation
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    recurrent scheme
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    convergence
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