An iterative approximation for time-fractional Cahn–Allen equation with reproducing kernel method
| Autor: | Mehmet Giyas Sakar, Onur Saldır, Fevzi Erdogan |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Applied Mathematics
010103 numerical & computational mathematics Derivative 01 natural sciences Fractional calculus Power (physics) 010101 applied mathematics Computational Mathematics Kernel method Exact solutions in general relativity Convergence (routing) Applied mathematics 0101 mathematics Graphics Representation (mathematics) Mathematics |
| Zdroj: | Computational and Applied Mathematics. 37:5951-5964 |
| ISSN: | 1807-0302 0101-8205 |
| DOI: | 10.1007/s40314-018-0672-9 |
| Popis: | In this article, we construct a novel iterative approach that depends on reproducing kernel method for Cahn-Allen equation with Caputo derivative. Representation of solution and convergence analysis are presented theoretically. Numerical results are given as tables and graphics with intent to show efficiency and power of method. The results demonstrate that approximate solution uniformly converges to exact solution for Cahn-Allen equation with fractional derivative. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink