Chebyshev polynomial approximations for nonlinear differential initial value problems
| Autor: | María Dolores Roselló, R. García-Bolós, Lucas Jódar, Benito Chen |
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| Rok vydání: | 2005 |
| Předmět: |
Chebyshev polynomials
Truncation error Applied Mathematics Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Chebyshev iteration Multidimensional Chebyshev's inequality Chebyshev's sum inequality Nonlinear system ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Chebyshev nodes Chebyshev equation Analysis Mathematics |
| Zdroj: | Nonlinear Analysis: Theory, Methods & Applications. 63:e629-e637 |
| ISSN: | 0362-546X |
| DOI: | 10.1016/j.na.2005.02.050 |
| Popis: | In this paper, we present improved error bounds for the truncation error for the approximate solution of nonlinear ordinary differential equations based on two-variable Chebyshev series expansions. These are a priori error bounds and more precise error bounds reduce the work in approximating the solution. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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