Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method
Numerical Analysis
2018-05-31 v1
Abstract
In this research, a new numerical method is proposed for solving fractional Bratu type boundary value problems. Fractional derivatives are taken in Caputo sense. This method is predicated on iterative approach of reproducing kernel Hilbert space theory with shifted Legendre polynomials. Construction and convergence of iterative process are shown by orthogonal projection operator. Numerical results show that our method is effective and convenient for fractional Bratu type problem.
Cite
@article{arxiv.1805.12080,
title = {Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method},
author = {Mehmet Giyas Sakar and Onur Saldır and Ali Akgül},
journal= {arXiv preprint arXiv:1805.12080},
year = {2018}
}
Comments
13 pages, 8 tables, 5 figures