High order iterative methods without derivatives for solving nonlinear equations (Q884634)
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scientific article; zbMATH DE number 5162018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High order iterative methods without derivatives for solving nonlinear equations |
scientific article; zbMATH DE number 5162018 |
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High order iterative methods without derivatives for solving nonlinear equations (English)
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6 June 2007
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New second-order and third-order iterative methods based on the homotopy perturbation theory are presented for solving nonlinear equations. These methods do not need to compute the derivatives. The second-order iterative method has the same asymptotic error constant and convergence rate compared with the Newton-method. The third-order iterative method has a faster rate of convergence and high precision compared with the Newton method and the new second-order iterative methods.
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nonlinear equation
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iterative method
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homotopy perturbation method
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Newton method
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third-order iterative methods
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asymptotic error constant
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convergence
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