The Best Finite-Difference Scheme for the Helmholtz Equation

DOI: 10.4236/ajcm.2012.23026   PDF   HTML     4,271 Downloads   7,216 Views   Citations

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.

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T. Zhanlav and V. Ulziibayar, "The Best Finite-Difference Scheme for the Helmholtz Equation," American Journal of Computational Mathematics, Vol. 2 No. 3, 2012, pp. 207-212. doi: 10.4236/ajcm.2012.23026.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Agarwal R.P. Difference equations and inequalities: Theory, methods and Applications, Mareel Dekker, New York, 1992
[2] Mickens R.E. Nonstandard finite-difference models of differential equations, Word Scientific, Singapore, 1994
[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).

  
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