Galerkin Spectral Method for the Fractional Nonlocal Thermistor Problem
Analysis of PDEs
2017-03-17 v1 Numerical Analysis
Abstract
We develop and analyse a numerical method for the time-fractional nonlocal thermistor problem. By rigorous proofs, some error estimates in different contexts are derived, showing that the combination of the backward differentiation in time and the Galerkin spectral method in space leads, for an enough smooth solution, to an approximation of exponential convergence in space.
Keywords
Cite
@article{arxiv.1605.07804,
title = {Galerkin Spectral Method for the Fractional Nonlocal Thermistor Problem},
author = {Moulay Rchid Sidi Ammi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1605.07804},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is in 'Computers and Mathematics with Applications', ISSN: 0898-1221. Submitted 14-Dec-2015; Revised 16-May-2016; Accepted 25-May-2016