Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method

Abstract

In this work we utilize the boundary integral equation and the Dual Reciprocity Boundary Element Method (DRBEM) for the solution of the steady state convection-diffusion-reaction equations with variable convective coefficients in two-dimension. The DRBEM is a numerical method to transform the domain integrals into the boundary only integrals by using the fundamental solution of Helmholtz equation. Some examples are calculated to confirm the accuracy of the approach. The results obtained by the analytic solutions are in good agreement with ones provided by the DRBEM technique.

Axisymmetric polyharmonic spline approximation in the dual reciprocity method

“…Wrobel [20]. Ever since, the idea has been extensively developed in many research such as the perturbation dual reciprocity boundary element method (DRBEM) [21–23], the separation of variables DRBEM [24], and the Laplace transform DRBEM [25].…”