Solution of a system of nonlinear equations by Adomian decomposition method. (Q1428603)
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scientific article; zbMATH DE number 2062853
| Language | Label | Description | Also known as |
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| English | Solution of a system of nonlinear equations by Adomian decomposition method. |
scientific article; zbMATH DE number 2062853 |
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Solution of a system of nonlinear equations by Adomian decomposition method. (English)
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29 March 2004
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The Adomian decomposition method is applied to solve a system of nonlinear equations with unique solution. Starting with a fixed point representation \(x = \tilde{g}(x)\) with analytic \(\tilde{g}\), the convergence of the method is proved under strong convergence assumptions of the underlying power series. Two very academic examples illustrate the method.
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Adomian decomposition method
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system of nonlinear equations
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numerical examples
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convergence
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