A discretization for the nonlinear parabolic evolution equation of fractional order in space
Numerical Analysis
2026-03-31 v1 Numerical Analysis
Analysis of PDEs
Abstract
We consider a nonlinear parabolic equation of fractional order in space and propose its numerical discretization. The fractional derivative is defined through a functional analytic setting, rather than the traditional definition of fractional derivatives such as the Riemann-Liouville derivative. Numerical experiments are reported and some conjectures are presented.
Keywords
Cite
@article{arxiv.2603.28155,
title = {A discretization for the nonlinear parabolic evolution equation of fractional order in space},
author = {Chien-Hong Cho and Hisashi Okamoto},
journal= {arXiv preprint arXiv:2603.28155},
year = {2026}
}
Comments
13 pages, 2 figures