On the computation of the numerical blow-up time

被引：19
|
作者：
Cho, Chien-Hong [1 ]
机构：
[1] Natl Chung Cheng Univ, Dept Math, Min Hsiung 621, Chia Yi, Taiwan
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2013年 / 30卷 / 02期
关键词：
Blow-up; Finite difference method; Numerical blow-up time;
D O I：
10.1007/s13160-013-0101-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For certain evolution equations, we mean by the word "blow-up" that the solutions become unbounded in finite time T. The finite time T is called the blow-up time. In this paper, we propose an algorithm to compute the blow-up time by using a finite difference scheme with uniform temporal grid size.
引用
收藏
页码：331 / 349
页数：19
相关论文
共 50 条
  • [1] On the computation of the numerical blow-up time
    Chien-Hong Cho
    Japan Journal of Industrial and Applied Mathematics, 2013, 30 : 331 - 349
  • [2] Numerical detection of blow-up: a new sufficient condition for blow-up
    Chien-Hong Cho
    Japan Journal of Industrial and Applied Mathematics, 2016, 33 : 81 - 98
  • [3] Numerical detection of blow-up: a new sufficient condition for blow-up
    Cho, Chien-Hong
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2016, 33 (01) : 81 - 98
  • [4] On the convergence of the numerical blow-up time for a rescaling algorithm
    Cho, Chien-Hong
    Wu, Jhih-Sin
    NUMERICAL ALGORITHMS, 2025, 98 (01) : 191 - 217
  • [5] NUMERICAL BLOW-UP TIME FOR NONLINEAR PARABOLIC PROBLEMS
    Achille, Adou Koffi
    Fatou, N. Diop
    Koffi, N' Guessan
    Augustin, Toure Kidjegbo
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2022, 28 : 135 - 152
  • [6] On numerical blow-up sets
    Bonder, JF
    Groisman, P
    Rossi, JD
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (07) : 2049 - 2055
  • [7] STABILITY OF THE BLOW-UP TIME AND THE BLOW-UP SET UNDER PERTURBATIONS
    Arrieta, Jose M.
    Ferreira, Raul
    de Pablo, Arturo
    Rossi, Julio D.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 26 (01) : 43 - 61
  • [8] Numerical Calculation of Monotonicity Properties of the Blow-Up Time of NLS
    Stimming, Hans Peter
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 5 (2-4) : 745 - 759
  • [9] Blow-up time estimates and simultaneous blow-up of solutions in nonlinear diffusion problems
    Liu, Bingchen
    Wu, Guicheng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (02) : 597 - 614
  • [10] On the computation for blow-up solutions of the nonlinear wave equation
    Cho, Chien-Hong
    NUMERISCHE MATHEMATIK, 2018, 138 (03) : 537 - 556
12345