Numerical solution of time-fractional Burgers equation in reproducing kernel space
Numerical Analysis
2018-05-30 v1
Abstract
In this paper, we present an iterative reproducing kernel method for numerical solution of one dimensional fractional Burgers equation with variable coefficient. Convergence analysis is constructed theoretically. Numerical experiments show that approximate solution uniformly converges to exact solution. The results demonstrate that the given method very efficient and convenient for fractional Burgers equation.
Keywords
Cite
@article{arxiv.1805.06953,
title = {Numerical solution of time-fractional Burgers equation in reproducing kernel space},
author = {Mehmet Giyas Sakar and Onur Saldır and Fevzi Erdogan},
journal= {arXiv preprint arXiv:1805.06953},
year = {2018}
}
Comments
12 pages, 2 figures, 6 tables