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Computer computation of the method of multiple scales -- Dirichlet problem for a class of system of nonlinear differential equations - MaRDI portal

Computer computation of the method of multiple scales -- Dirichlet problem for a class of system of nonlinear differential equations (Q1890350)

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scientific article; zbMATH DE number 2124335
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English
Computer computation of the method of multiple scales -- Dirichlet problem for a class of system of nonlinear differential equations
scientific article; zbMATH DE number 2124335

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    Computer computation of the method of multiple scales -- Dirichlet problem for a class of system of nonlinear differential equations (English)
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    3 January 2005
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    The authors study the asymptotic behaviour of solutions to a Dirichlet problem for a class of nonlinear differential systems. They construct asymptotic expansions of the solutions and give estimations the remainders. The method of the boundary layer functions with multiple scales and computer algebra are used. An illustrating example are given.
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    system of nonlinear differential equation
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    method of boundary layer with multiple scales
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    computer algebra
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    asymptotic solution
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    estimations of the remainders.
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