Affiliation:
1. Stevens Institute of Technology Wesley J Howe School of Technology Management
Abstract
In this paper we apply the boundary elements method (BEM) and the dual
reciprocity boundary elements method (DRBEM) for the numerical solution
of two–dimensional time–fractional partial differential equations
(TFPDEs). The fractional derivative of problem is described in the
Caputo sense. In BEM, the main equation deduces to solving the Helmholtz
equation in each time step. Therefore, we should compute the domain
integral in each time step. So, we presented an approach to compute the
domain integral with no singularity. On the other hand the DRBEM has the
flexibility of discretizing only the boundary of the computational
domain and evaluates the solution at any required interior point. We
employ the radial basis functions (RBFs) for interpolation of the
inhomogeneous and time derivative terms. The proposed method is employed
for solving some problems in two–dimensions on unit square and some
other complex regions to demonstrate the efficiency of the proposed
method.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献