Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776499 | Journal of Computational and Applied Mathematics | 2017 | 16 Pages |
Abstract
This paper presents a method of numerical verification for the existence of a global-in-time solution to a class of semilinear parabolic equations. Such a method is based on two main theorems in this paper. One theorem gives a sufficient condition for proving the existence of a solution to the semilinear parabolic equations with the initial point t=tâ²â¥0. If the sufficient condition does not hold, the other theorem is used for enclosing the solution for time tâ(0,Ï],Ï>0 in a neighborhood of a numerical solution. Numerical results of obtaining a global-in-time solution for a certain semilinear parabolic equation are also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Makoto Mizuguchi, Akitoshi Takayasu, Takayuki Kubo, Shin'ichi Oishi,