Numerical Computation Based on the Method of Fundamental Solutions for a Cauchy Problem of Heat Equation

eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-06-19 2 3 70 74 10.12691/tjant-2-3-3 TJANT2014233 article Numerical Computation Based on the Method of Fundamental Solutions for a Cauchy Problem of Heat Equation Ruihua Cao caoruihua0056@126.com 1 School of Mathematics and Computer science, Shanxi Normal University, Linfen, China In this note, a boundary integral equation method coupled with the method of fundamental solutions for solving an inverse heat conduction problem is considered. The Tikhonov regularization method is employed for solving this system of equations. Determination of regularization parameter is based on GCV criterion. To illustrate our main results, some numerical examples are given. http://pubs.sciepub.com/tjant/2/3/3/tjant-2-3-3.pdf inverse problem of the heat equation method of fundamental solutions integral equation method