An Accurate Numerical Algorithm for Solving Singular and Nonsingular System of Initial Value Problems on Large Interval
| Autor: | A. I. Ismail, A. Kazemi Nasab, Z. Pashazadeh Atabakan |
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| Rok vydání: | 2016 |
| Předmět: |
Equioscillation theorem
Chebyshev polynomials General Mathematics Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Finite difference method Finite difference Chebyshev iteration 010103 numerical & computational mathematics 01 natural sciences 010101 applied mathematics ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Chebyshev pseudospectral method 0101 mathematics Chebyshev nodes Chebyshev equation Algorithm Mathematics |
| Zdroj: | Mediterranean Journal of Mathematics. 13:5033-5051 |
| ISSN: | 1660-5454 1660-5446 |
| DOI: | 10.1007/s00009-016-0790-9 |
| Popis: | In this article, a numerical algorithm for solving both linear and nonlinear system of initial problems is proposed. Chebyshev wavelet finite difference (CWFD) method is indeed a hybrid of Chebyshev wavelets and finite difference methods. The exploitation of the useful properties of Chebyshev wavelets and finite difference method results in the reduction of the computation of the problem to a set of algebraic equations which can be more easily solved. Several examples of singular and nonsingular systems are included to illustrate the efficiency and accuracy of the proposed method. |
| Databáze: | OpenAIRE |
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