<abstract xmlns="http://www.w3.org/1999/xhtml">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 <italic>L</italic>2 and <italic>L</italic>∞ 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.</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.

A Crank-Nicolson Approximation for the time Fractional Burgers Equation

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A Crank-Nicolson Approximation for the time Fractional Burgers Equation"}

In the present manuscript, Crank Nicolson finite difference method is going to be applied to get the approximate solutions for the fractional Burgers equation....

A Crank-Nicolson Approximation for the time Fractional Burgers Equation

Published Online: Aug 20, 2020

Page range: 177 - 184

Received: Jul 27, 2019

Accepted: Jul 29, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00023

Keywords
Fractional order derivatives, Crank Nicolson Finite Difference methods, Fractional Burgers equation

© 2020 M. Onal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A Crank-Nicolson Approximation for the time Fractional Burgers Equation

Published Online: Aug 20, 2020

Page range: 177 - 184

Received: Jul 27, 2019

Accepted: Jul 29, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00023

KeywordsFractional order derivatives, Crank Nicolson Finite Difference methods, Fractional Burgers equation

© 2020 M. Onal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Fractional order derivatives, Crank Nicolson Finite Difference methods, Fractional Burgers equation