Some recent numerical methods for solving nonlinear Hammerstein integral equations (Q1324257)
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scientific article; zbMATH DE number 571403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some recent numerical methods for solving nonlinear Hammerstein integral equations |
scientific article; zbMATH DE number 571403 |
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Some recent numerical methods for solving nonlinear Hammerstein integral equations (English)
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9 October 1994
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The author considers various numerical methods, namely, the Galerkin and collocation method and Adomian's decomposition method for the solutions of the problem \(x = H(x)\), where \(H\) is a nonlinear integral operator. He establishes the convergence of Adomian's method applied to the Hammerstein nonlinear integral equation \(\kappa(t) = y(t) + \int^ R_{-R} K(t,s) f(s,\kappa(s))ds\), \(R > 0\).
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Galerkin method
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collocation method
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Adomian's decomposition method
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nonlinear integral operator
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convergence
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Hammerstein nonlinear integral equation
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