Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique
| Autor: | Hadi Rezazadeh, Kumbinarasaiah Srinivasa |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Applied Mathematics
Computational Mechanics General Physics and Astronomy Statistical and Nonlinear Physics Fluid mechanics 010103 numerical & computational mathematics Telegrapher's equations 01 natural sciences 010101 applied mathematics Wavelet Mechanics of Materials Modeling and Simulation Collocation method ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Order (group theory) Applied mathematics 0101 mathematics Engineering (miscellaneous) |
| Zdroj: | International Journal of Nonlinear Sciences and Numerical Simulation. 22:767-780 |
| ISSN: | 2191-0294 1565-1339 |
| Popis: | In this article, we proposed an efficient numerical technique for the solution of fractional-order (1 + 1) dimensional telegraph equation using the Laguerre wavelet collocation method. Some examples are illustrated to inspect the efficiency of the proposed technique and convergence analysis is discussed in terms of a theorem. Here, the fractional-order telegraph equation is converted into a system of algebraic equations using the properties of the Laguerre wavelet, and solutions obtained by the proposed scheme are more accurate and they are compared with the analytical solution and other method existed in the literature. |
| Databáze: | OpenAIRE |
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