GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.27, sa.4, ss.1063-1076, 2014 (Scopus)
Three unsteady heat conduction problems with anisotropic diffusivity and time-dependent heating or heat flux and/or
heat source are considered in showing the utility of a hybrid method involving a combination of temporal differential
transform and spatial finite difference methods. The segregation of time from the spatial component is the greatest
advantage of the hybrid method that exhibits no instability of finite difference methods generally seen with parabolic
equations. The easy-to-implement algorithm that is essentially a Poisson solver works with both linear and nonlinear heat transport problems without any difficulty of sorts. To gain confidence in the results some simulation
results are also presented of problems that have an Adomian solution. The method can be used in practical heat
transfer problems concerning non-uniform materials like composites, alloys, heterogeneous porous media with
thermal equilibrium or non-equilibrium, multi-layered media and such other problems.