Numerical solution of fractional bioheat equation by quadratic spline collocation method

被引：0
|
作者：
Qin, Yanmei [1 ]
Wu, Kaiteng [1 ]
机构：
[1] Neijiang Normal Univ, Key Lab Numer Simulat Sichuan Prov, Coll Math & Informat Sci, Neijiang 641112, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 07期
关键词：
Quadratic spline collocation method; fractional bioheat equation; hyperthermia; DIFFUSION EQUATION; STABILITY; SCHEME; HEAT;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the quadratic spline function, a quadratic spline collocation method is presented for the time fractional bioheat equation governing the process of heat transfer in tissues during the thermal therapy. The corresponding linear system is given. The stability and convergence are analyzed. Some numerical examples are given to demonstrate the efficiency of this method. (C) 2016 All rights reserved.
引用
收藏
页码：5061 / 5072
页数：12
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