Nodal Numerical 2D Helmholtz Equation: Truncation Analysis

Patriks Morevs; Janis S. Rimshans; Sharif E. Guseynov

doi:10.4028/www.scientific.net/AMR.222.345

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 222Nodal Numerical 2D Helmholtz Equation: Truncation...

Nodal Numerical 2D Helmholtz Equation: Truncation Analysis

Abstract:

A functional nodal method for numerical solution of a two-dimensional Helmholtz equation is considered. The method uses a compact 7-point difference scheme and provides continuity of averaged fluxes and the numerical solution. Truncation analysis of the difference scheme is done and it is shown that the considered difference scheme is of the 2nd order of precision inside the domain.