One Class Method for Solving One-dimensional Helmholtz Equation with Interface Problem*

Yong Zhu1, JiaoJiao Cao2

1Ningxia Vocational Technical College of Industry and Commerce, Yinchuan, 100029, China

2School of  Mathematics and Statistic, Ningxia University, Yinchuan, 750021, China

Abstract: Helmholtz equations are often used to characterize the acoustic, electromagnetic scattering, radia-tion and vibration phenomena building, which is focused on how to solve by many scholars. It will be more difficult to solve Helmholtz equations with discontinuous wave number ｏｒ singular ｓｏｕｒｃｅ term. In this paper, the one-dimensional Helmholtz equation with ｓｏｕｒｃｅ term is solved by using the high-order method devel-oped in reference, it can not only keep the local conservation of physical quantity, but also get the desired ｏｒ-der. the effectiveness and feasibility of the scheme developed in the paper is demonstrated  by numerical ex-amples.

Keywords: Helmholtz equation; Finite volume method; Compact difference scheme; Discontinuous coefficient