Solving nonlinear integral equations of Fredholm type with high order iterative methods (Q654763)
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scientific article; zbMATH DE number 5991209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving nonlinear integral equations of Fredholm type with high order iterative methods |
scientific article; zbMATH DE number 5991209 |
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Solving nonlinear integral equations of Fredholm type with high order iterative methods (English)
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21 December 2011
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For the numerical solution of nonlinear Fredholm integral equations, the authors propose to discretize the integral via a Gaussian quadrature formula and then to compute the values of the approximate solution at the quadrature nodes with the help of a high order iterative scheme. For a special class of such schemes, convergence conditions are derived and the computational cost is investigated.
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iterative methods
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hybrid methods
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order of convergence
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efficiency
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semilocal convergence
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nonlinear Fredholm integral equation
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Gaussian quadrature formula
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0.9417492
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0.93954855
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0.93889236
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0.9358103
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0.9303298
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0.9288708
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0.92742246
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0.9271132
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