An eight-order accurate numerical method for the solution of 2D Helmholtz equation
by M. Tadi
International Journal of Computing Science and Mathematics (IJCSM), Vol. 6, No. 2, 2015

Abstract: This note is concerned with a numerical method for the solution of 2D Helmholtz equation in unit square. The method uses a finite difference approximation in one coordinate space. Similar to the method of line, the method treats the working equation as a system of ordinary differential equation in the remaining independent variable. The method uses a coordinate transformation to decouple the system of ODE. Using this procedure, it is possible to formulate numerical schemes with arbitrary orders of accuracy. Numerical results for an eight-order accurate are presented.

Online publication date: Sun, 17-May-2015

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