Name
Title | ||
|---|---|---|
Numerical verification for existence of a global-in-time solution to semilinear parabolic equations. |
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 = t ' ź 0 . If the sufficient condition does not hold, the other theorem is used for enclosing the solution for time t ź ( 0 , ź , ź 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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cam.2016.10.024 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
65G40,65M15,35K20 | Parabolic partial differential equation,Mathematical optimization,Mathematical analysis,Mathematics,Numerical verification,Parabola | Journal |
Volume | Issue | ISSN |
315 | C | 0377-0427 |
Citations | PageRank | References |
2 | 0.46 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Makoto Mizuguchi | 1 | 6 | 1.66 |
| Akitoshi Takayasu | 2 | 7 | 1.70 |
| Takayuki Kubo | 3 | 2 | 0.46 |
| Shin'ichi Oishi | 4 | 280 | 37.14 |