THE METHOD OF FUNDAMENTAL-SOLUTIONS FOR NONLINEAR THERMAL EXPLOSIONS

被引：113

作者：

CHEN, CS

机构：

[1] Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada, 89154, Las Vegas

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1995年 / 11卷 / 08期

关键词：

BLOW-UP; METHOD OF FUNDAMENTAL SOLUTIONS; BEM; THIN PLATE SPLINE;

D O I：

10.1002/cnm.1640110806

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A numerical method based on the method of fundamental solutions, thin plate spine interpolation and monotone iteration is devised to find the minimal solution of the steady-state blow-up problem. The method of fundamental solutions requires neither domain nor boundary discretization and results in high accuracy and efficiency. For illustration, critical values of the Frank-Kamenetskii parameter are given for different geometrical boundaries in the two-dimensional case.

引用

页码：675 / 681

页数：7

共 14 条

[1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].