A BOUNDARY ELEMENT APPROACH FOR PARABOLIC DIFFERENTIAL-EQUATIONS USING A CLASS OF PARTICULAR SOLUTIONS

Two boundary element methods are developed for solving a class of parabolic differential equations. The methods avoid performing time-consuming domain integrations by approximating a "generalized forcing function" in the interior of the domain with the use of radial basis functions. An approximate particular solution can then be determined, and the original problem can be transformed into a homogeneous problem. Numerical examples demonstrate some advantages and disadvantages of the two methods.