NUMERICAL TREATMENT OF NON-MONOTONIC BLOW-PROBLEMS BASED ON SOME NON-LOCAL TRANSFORMATIONS

被引：0
|
作者：
Attili, Basem S. [1 ]
机构：
[1] Univ Sharjah, Coll Sci, Dept Math, POB 27272, Sharjah, U Arab Emirates
来源：
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2024年 / 42卷 / 02期
关键词：
Nonlinear differential equations; blow-up solu- tions; non-local transformations; numerical integration; DIFFERENTIAL-EQUATIONS; UP SOLUTIONS; TIME;
D O I：
10.14317/jami.2024.321
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the numerical treatment of blow-up problems having non -monotonic singular solutions that tend to infinity at some point in the domain. The use of standard numerical methods for solving problems with blow-up solutions can lead to significant errors. The reason being that solutions of such problems have singularities whose positions are unknown in advance. To be able to integrate such non -monotonic blow-up problems, we describe and use a method of non -local transformations. To show the efficiency of the method, we present a comparison of exact and numerical solutions in addition to some comparison with the work of other authors.
引用
收藏
页码：321 / 331
页数：11
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