An eight-order accurate numerical method for the solution of 2D Helmholtz equation (Q2223992)
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scientific article
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| English | An eight-order accurate numerical method for the solution of 2D Helmholtz equation |
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An eight-order accurate numerical method for the solution of 2D Helmholtz equation (English)
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3 February 2021
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Summary: 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.
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Helmholtz equation
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elliptic systems
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high frequency
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finite difference approximation
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ordinary differential equations
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ODEs
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coordinate transformation
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