@article{AL-saedi2023, 
author = {Akeel A. AL-saedi and Jalil Rashidinia},
title = {Application of the B-spline Galerkin approach for approximating the time-fractional Burger's equation},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {7},
pages = {4248-4265},
keywords = {time-fractional Burger's equation, Caputo derivative, B-spline Galerkin method, different weight function},
url = {https://www.sciopen.com/article/10.3934/era.2023216},
doi = {10.3934/era.2023216},
abstract = {This paper presents a numerical scheme based on the Galerkin finite element method and cubic B-spline base function with quadratic weight function to approximate the numerical solution of the time-fractional Burger's equation, where the fractional derivative is considered in the Caputo sense. The proposed method is applied to two examples by using the        L    2   and              L      ∞       error norms. The obtained results are compared with a previous existing method to test the accuracy of the proposed method.}
}