Analytical-Numerical Study of Finite-Time Blow-up of the Solution to the Initial-Boundary Value Problem for the Nonlinear Klein

Analytical-Numerical Study of Finite-Time Blow-up of the Solution to the Initial-Boundary Value Problem for the Nonlinear Klein–Gordon Equation

Published:2020-09 Issue:9 Volume:60 Page:1452-1460
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Korpusov M. O.,Levashov A. N.,Lukyanenko D. V.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542520090109.pdf

Reference17 articles.

1. K. Li and Q. Zhang, “Existence and nonexistence of global solutions for the equation of dislocation of crystals,” J. Differ. Equations 10 (1), 5–21 (1998).

2. M. O. Korpusov, Blow-up in Nonlinear Wave Equations with Positive Energy (URSS, Moscow, 2012).

3. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer, Berlin, 2002).

4. N. N. Kalitkin, “Numerical methods for solving stiff systems,” Mat. Model. 7 (5), 8–11 (1995).

5. H. H. Rosenbrock, “Some general implicit processes for the numerical solution of differential equations,” Comput. J. 5 (4), 329–330 (1963).

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