Wavelet analysis method for solving linear and nonlinear singular boundary value problems
| Autor: | Esmail Babolian, Adem Kilicman, Z. Pashazadeh Atabakan, A. Kazemi Nasab |
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| Rok vydání: | 2013 |
| Předmět: |
Chebyshev polynomials
Applied Mathematics Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Chebyshev iteration Multidimensional Chebyshev's inequality Nonlinear system Matrix (mathematics) Singular solution Modeling and Simulation Ordinary differential equation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Chebyshev equation Mathematics |
| Zdroj: | Applied Mathematical Modelling. 37:5876-5886 |
| ISSN: | 0307-904X |
| DOI: | 10.1016/j.apm.2012.12.001 |
| Popis: | In this paper, a robust and accurate algorithm for solving both linear and nonlinear singular boundary value problems is proposed. We introduce the Chebyshev wavelets operational matrix of derivative and product operation matrix. Chebyshev wavelets expansions together with operational matrix of derivative are employed to solve ordinary differential equations in which, at least, one of the coefficient functions or solution function is not analytic. Several examples are included to illustrate the efficiency and accuracy of the proposed method. |
| Databáze: | OpenAIRE |
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