JOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY, cilt.29, sa.4, ss.727-733, 2014 (SCI-Expanded)
A new approach for the solution of heat conduction equation is presented, which is applicable to all coordinate systems in two- and three-dimensional Euclidean as well as Riemannian space. The equation is in component form and is directly applicable to the numerical computation This general form of the heat conduction equation is then used to construct a technique for calculating the transient temperature field in irregular, static or translating/rotating, planar domains. A method to generate planar grids in irregular domains, defined only by their boundary curves, is also discussed.