Estimation of unknown heat source function in inverse heat conduction problems using quantum-behaved particle swarm optimization

Performance analysis and feasibility study of ant colony optimization, particle swarm optimization and cuckoo search algorithms for inverse heat transfer problems

“…It has been used widely for various optimization problems like machining [49], solidification [50] and heat exchanger optimization [51][52][53]. Recently, it is also used for inverse heat transfer problems involving conduction [20,21,[54][55][56], convection [57] and radiation [58,59]. It is evident from the literature that PSO enjoys surge in popularity among heat transfer community than many other search based algorithms.…”

A new inverse analysis method based on a relaxation factor optimization technique for solving transient nonlinear inverse heat conduction problems

“…Consequently, the solution of a transient nonlinear inverse heat conduction problem is difficult, especially if multi-dimensions and measurement errors are concerned. IHCPs have been extensively studied [3][4][5][6][7][8][9][10][11][12][13][14] and many methods have been proposed [15][16][17][18][19][20][21].…”

Application of the homotopy perturbation method to an inverse heat problem

“…Since the characteristics of sources in practical problems are always unknown, there are many researches (Cannon and Duchateau, 1998;Fatullayev, 2004;Trong et al, 2005;Yan et al, 2008;Geng and Lin, 2009;Ahmadabadi et al, 2009;Tian et al, 2011;Liu et al, 2011) on such inverse problems of determining source terms from 1970s. In general, the unknown source cannot be obtained from practically restricted boundary measurements, completely.…”

“…In Trong et al (2005) and Geng and Lin (2009), the source was sought as a function of both space and time but is additive or separable. However, many researchers sought the source as a function of space or time only (Yan et al, 2008;Ahmadabadi et al, 2009;Tian et al, 2011;Liu et al, 2011).…”