Abstract
In this paper, we consider a system of Klein-Gordon equations with variable exponents. The first part of the manuscript is devoted to the proof of the blow up of solutions with negative initial energy under suitable conditions on variable exponents and initial data. The theoretical part is supported by numerical experiments based on P1-finite element method in space and the BDF and the Generalized-alpha methods in time illustrated in the second part. The numerical and analytical results of the blow up solutions agree with each other.
| Original language | English |
|---|---|
| Pages (from-to) | 143-164 |
| Number of pages | 22 |
| Journal | Mathematica Applicanda |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2023 |
Bibliographical note
Publisher Copyright:© 2023 Polish Mathematical Society. All rights reserved.
Keywords
- BDF method
- Blow up
- finite difference method
- Generalized-alpha method
- Klein-Gordon equation
- P1-finite element method
- Variable exponent