Abstract

In the present manuscript, Crank Nicolson finite difference method is going to be applied to get the approximate solutions for the fractional Burgers equation. The fractional derivative used in this equation is going to be taken into consideration in the Caputo sense. The L1 type discretization formula is going to be applied to this equation. For checking the efficiency of proposed methods, the error norms L2 and L have at the same time been calculated. Those newly got solutions using the presented method illustrate the easy usage and efficiency of the approach presented in this manuscript.

Details

Title
A Crank-Nicolson Approximation for the time Fractional Burgers Equation
Author
Onal, M 1 ; Esen, A 1 

 Department of Mathematics, Inonu University, Malatya, Turkey 
Pages
177-184
Publication year
2020
Publication date
2020
Publisher
De Gruyter Poland
e-ISSN
24448656
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3191239195
Copyright
© 2020. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.