Numerical Solution of the Three-Dimensional Helmholtz Equation

被引：6
|
作者：
Mohyud-Din, Syed Tauseef [1 ]
Yildirim, Ahmet [2 ]
机构：
[1] HITEC Univ, Dept Basic Sci, Taxila Cantt, Pakistan
[2] Ege Univ, Dept Math, TR-35100 Bornova, Turkey
来源：
CHINESE PHYSICS LETTERS | 2010年 / 27卷 / 06期
关键词：
HOMOTOPY ANALYSIS METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; APPROXIMATE SOLUTION TECHNIQUE; VISCOUS-FLOW PROBLEMS; SMALL PARAMETERS; FLUID; EXPLICIT; SYSTEMS;
D O I：
10.1088/0256-307X/27/6/060201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：4
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