Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique-Reference-Cited by-同舟云学术

Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique

Published:2020-11-05 Issue:6 Volume:22 Page:767-780
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Srinivasa Kumbinarasaiah¹^ORCID,Rezazadeh Hadi²

Affiliation:

1. Department of Mathematics , Bangalore University , Bengaluru 560 056 , India

2. Faculty of Engineering Technology , Amol University of Special Modern Technologies , Amol , Islamic Republic of Iran

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0300/pdf

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