On Chaplygin's method for solving the Cauchy problem for O. D. E (Q1866745)
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scientific article; zbMATH DE number 1898305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Chaplygin's method for solving the Cauchy problem for O. D. E |
scientific article; zbMATH DE number 1898305 |
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On Chaplygin's method for solving the Cauchy problem for O. D. E (English)
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22 April 2003
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Chaplygin's method is a known method enabling to construct polynomial approximations to solutions of the Cauchy problem for ordinary differential equations (O.D.E.s). Two algorithms are presented allowing to apply Chaplygin's theory to obtain the solution of a Cauchy problem with two differential equations. It is shown that the polynomial sequences built by these algorithms converge uniformly and fast to the problem solution. Numerical examples are performed using Mathematica.
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Chaplygin's method
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convergence
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polynomial approximation
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Cauchy problem
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algorithms
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numerical examples
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Mathematica
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