A Numerical Method for Distinction between Blow-up and Global Solutions of the Nonlinear Heat Equation

Total for the last 12 months

number of access : ? 件

number of downloads : ?

Use this link to cite this item : https://repo.lib.tokushima-u.ac.jp/84286

ID	84286
Author	Sakaguchi, Hideo Institute of Technology and Science, The University of Tokushima Tokushima University Educator and Researcher Directory KAKEN Search Researchers Imai, Hitoshi Institute of Technology and Science, The University of Tokushima Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Content Type	Departmental Bulletin Paper
Description	The famous one-dimensional nonlinear heat equation is considered. To this equation a numerical method for distinction between blow-up and global solutions is proposed. Difficulty is in the treatment of the global solution which is defined in the infinite interval. The bounding transform is used to overcome this difficulty. Numerical experiments show the validity of our method.
Journal Title	Journal of mathematics, the University of Tokushima
ISSN	13467387
NCID	AA11595324
Volume	42
Start Page	27
End Page	44
Sort Key	27
Published Date	2008
FullText File	LID201112221006.pdf 1.25 MB
language	eng
departments	Science and Technology