eng Science and Education Publishing International Journal of Partial Differential Equations and Applications 2376-9556 2016-05-03 4 1 1 6 10.12691/ijpdea-4-1-1 IJPDEA2016411 article Hassan Ghassemi gasemi@aut.ac.ir 1 Saeed Fazelifar 1 Alireza Nadery 1 Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran This paper presents to solve the 3D Helmholtz equation using dual reciprocity boundary element method (DRBEM) and its particular solutions with various radial basis functions (RBFs). The important function in this method is to employ the RBF. Here, we find the particular solution of the Helmholtz equation (2k2)h= f(r), where f(r) is the RBF. Various RBFs are chosen and the particular solutions are obtained. The dual reciprocity method (DRM) is a method that converts the domain integral into the boundary integral. Mathematical formulations and discretization forms are described and discussed. Numerical results with three RBF with and without polynomial terms are presented and discussed. Algorithm of the method is also presented. http://pubs.sciepub.com/ijpdea/4/1/1/ijpdea-4-1-1.pdf 3D Helmholtz equation radial basis function particular solution dual reciprocity method