FOURTH-ORDER COMPACT SCHEMES FOR HELMHOLTZ EQUATIONS WITH PIECEWISE WAVE NUMBERS IN THE POLAR COORDINATES
FOURTH-ORDER COMPACT SCHEMES FOR HELMHOLTZ EQUATIONS WITH PIECEWISE WAVE NUMBERS IN THE POLAR COORDINATES作者机构:School of Mathematics and Computer Science NingXia University YinChuan 750021 China Department of Mathematics North Carolina State University Raleigh NC 27695 USA Nanjing Normal University Nanjing China
出 版 物:《Journal of Computational Mathematics》 (计算数学(英文))
年 卷 期:2016年第34卷第5期
页 面:499-510页
核心收录:
学科分类:07[理学]
基 金:国家自然科学基金 Research of the first and second authors was also supported in part by the Natural Science Foundation of Ningxia partially supported by the US NSF grant CNSF grants
主 题:Helmholtz equation Compact finite difference schemes Polar coordinate Theimmersed interface method High order method.
摘 要:In this paper, fourth-order compact finite difference schemes are proposed for solving Helmholtz equation with piecewise wave numbers in polar coordinates with axis-symmetric and in some cases that the solution depends both of independent variables. The idea of the immersed interface method is applied to deal with the discontinuities in the wave number and certain derivatives of the solution. Numerical experiments are included to confirm the accuracy and efficiency of the proposed method.