The decomposition method for approximate solution of the Goursat problem (Q1892081)

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scientific article; zbMATH DE number 761793
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The decomposition method for approximate solution of the Goursat problem
scientific article; zbMATH DE number 761793

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    The decomposition method for approximate solution of the Goursat problem (English)
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    8 June 1995
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    The Goursat problem in its standard form is solved using Adomian's decomposition method. The methodology is illustrated by studying suitable Goursat examples -- linear and nonlinear -- to establish analytical solutions for these problems. Numerical experiments confirm the superiority of the method, related to the accuracy level, over the existing techniques.
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    numerical examples
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    Goursat problem
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    Adomian's decomposition method
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