A Semi-Analytic Method For Time-Dependent Problems

Abstract

Several methods have been proposed which apply the boundary element method to solve time-dependent problems. The most commonly used methods involve time-stepping procedures. These procedures allow errors to accumulate and can become computationally expensive if a solution is required after a significant time has elapsed [1]. To counter these problems a new method is proposed for the solution of time-dependent problems which does not require time-stepping. This method constructs a separation of variables solution using eigenvalues and eigenvectors determined using the dual reciprocity boundary element method.