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arXiv · 2603.28155

A discretization for the nonlinear parabolic evolution equation of fractional order in space

Chien-Hong Cho·Hisashi Okamoto
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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.

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Chien-Hong Cho, Hisashi Okamoto. 2026-03-30. A discretization for the nonlinear parabolic evolution equation of fractional order in space. https://arxiv.org/abs/2603.28155

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