1. bookVolume 57 (2019): Issue 2 (December 2019)
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22 Nov 2012
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2 times per year
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access type Open Access

Collocation solutions for the time fractional telegraph equation using cubic B-spline finite elements

Published Online: 21 Dec 2020
Page range: 131 - 144
Journal Details
License
Format
Journal
First Published
22 Nov 2012
Publication timeframe
2 times per year
Languages
English
Abstract

In this study, we investigate numerical solutions of the fractional telegraph equation with the aid of cubic B-spline collocation method. The fractional derivatives have been considered in the Caputo forms. The L1and L2 formulae are used to discretize the Caputo fractional derivative with respect to time. Some examples have been given for determining the accuracy of the regarded method. Obtained numerical results are compared with exact solutions arising in the literature and the error norms L2 and L have been computed. In addition, graphical representations of numerical results are given. The obtained results show that the considered method is effective and applicable for obtaining the numerical results of nonlinear fractional partial differential equations (FPDEs).

Keywords

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