The Best Finite-Difference Scheme for the Helmholtz Equation

T. Zhanlav, V. Ulziibayar

School of Mathematics and Computer Science, National University of Mongolia, Ulaanbaatar, Mongolia.
School of Mathematics, Mongolian University of Science and Technology, Ulaanbaatar, Mongolia.

DOI: 10.4236/ajcm.2012.23026                

Abstract

The best finite-difference scheme for the Helmholtz equation is suggested. A method of solving obtained finite-difference scheme is developed. The efficiency and accuracy of method were tested on several examples.

Keywords

The Best Finite-Difference Scheme for the Helmholtz and Laplace’s Equations

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[3]	Samarskii A.A. Theory of difference equations,M.Nanka, 1977
[4]	Batgerel B. Zhanlav T. An exact finite-difference scheme for Sturm-Liouville problems, Sc. Transaction NUM, 1(120) 1996, 8-15 (in Russian).