TY - JOUR JF - jsci JO - VL - 13 IS - 2 PY - 2013 Y1 - 2013/7/01 TI - A meshless method for solving an inverse time-dependent heat source problem TT - روشی مستقل از شبکه بندی برای حل یک مسئله منبع گرمایی وابسته به زمان معکوس N2 -             Inverse time - dependent heat source   problems have an important role in many branches      of science and  technology. The aim of this paper is to solve these classes of problems using a       variational  iteration  method(VIM). The method applied does not require discretization  of the       region, as in the case  of classical methods based on the finite difference method,  the boundary      element method  or the other methods.  Applying this method, we obtain a stable approximation       to an  unknown source term  in an inverse heat equation   from  over-specified data  that the  source       term is only time - dependent.  Some numerical examples using this approach are presented and      discussed SP - 363 EP - 372 AU - shahrezaee, alimardan AD - KW - meshless method KW - inverse heat problem KW - ill-posed KW - stable KW - over - specified data KW - unknown time - dependent heat source KW - variational iteration method(VIM) KW - stable approximation UR - http://jsci.khu.ac.ir/article-1-1638-en.html ER -