中山大学学报自然科学版 ›› 2011, Vol. 50 ›› Issue (5): 7-10.

• 研究论文 • 上一篇    下一篇

四分之一平面域上Helmholtz方程的混合边值问题

黄民海1,2   

  1. (1.中山大学数学与计算科学学院,广东 广州 510275;2.肇庆学院数学与信息科学学院,广东 肇庆 526061)
  • 收稿日期:2010-12-20 修回日期:1900-01-01 出版日期:2011-09-25 发布日期:2011-09-25

The Mixed BoundaryValue Problem of Helmholtz Equation in a QuarterPlane

HUANG Minhai1,2   

  1. (1. School of Mathematics and Computational Science, Sun Yatsen University, Guangzhou 510275, China;2. College of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing 526061, China)
  • Received:2010-12-20 Revised:1900-01-01 Online:2011-09-25 Published:2011-09-25

摘要: 利用一种新型的Fokas变换方法,讨论1/4平面域上Helmholtz方程的混合边值问题,给出了解的封闭形式积分表达式,所得结果方便于进一步对解作渐近分析和数值计算。

关键词: Helmholtz方程, 混合边值问题, Fokas变换方法

Abstract: The mixed boundaryvalue problem of Helmholtz equation in a quarterplane is studied by means of a new type transform method introduced by Fokas. The integral representation of the solution in closed form is obtained. The results have conveniences both in asymptotic analysis and numerical calculation.

Key words: Helmholtz equation, mixed boundaryvalue problem, Fokastransform method

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