Numerical Solution of the Three-Dimensional Helmholtz Equation
Articles > Article ยท 2010
Authors: Syed Tauseef MOHYUD-DIN, Ahmet YILDIRIM
Chinese Physics Letters, Journal Indexed in SCI Expanded, International, WoS, 2010, vol 27, pp 060201-060201
DOI: 10.1088/0256-307x/27/6/060201
Summary
We apply the homotopy analysis method to solve the nonhomogeneous multidimensional partial differential equation model problem. The analytic solutions are calculated in terms of convergent series with easily computable components. The nonhomogeneous problem is quickly solved by observing the self-canceling ``noise'' terms whose sum vanishes in the limit. Numerical results clearly reveal the complete reliability and efficiency of the proposed algorithm.