A time-stepping dual-reciprocity boundary element method for anisotropic heat diffusion subject to specification of energy

A two-dimensional problem which requires determining the non-steady temperature distribution in a thermally anisotropic body and a temperature control function on a certain part of the boundary (of the body) given that the total amount of heat energy in the body is known at all time is considered. It is solved numerically using a time-stepping dual-reciprocity boundary element method. Numerical results are obtained for specific test problems.