High-order finite difference technique for delay pseudo-parabolic equations
| Autor: | Gabil M. Amiraliyev, Musa Cakir, Ilhame Amirali, Erkan Cimen |
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| Rok vydání: | 2017 |
| Předmět: |
Error estimate
Pseudo-parabolic equation Applied Mathematics Mathematical analysis Finite difference Finite difference method 010103 numerical & computational mathematics Space (mathematics) 01 natural sciences Parabolic partial differential equation 010101 applied mathematics Computational Mathematics Scheme (mathematics) Order (group theory) Delay difference scheme 0101 mathematics High order Energy (signal processing) Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 321:1-7 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2017.02.017 |
| Popis: | Cimen, Erkan/0000-0002-7258-192X WOS: 000400878000001 One dimensional initial boundary delay pseudo-parabolic problem is being considered. To solve this problem numerically, we construct higher order difference method for approximation to the considered problem and obtain the error estimate for its solution. Based on the method of energy estimate the fully discrete scheme is shown to be convergent of order four in space and of order two in time. Numerical example is presented. (C) 2017 Elsevier B.V. All rights reserved. |
| Databáze: | OpenAIRE |
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