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In Von Neumann analysis, the solution is expanded using ____________(a) Laurent series(b) McLaurin series(c) Taylor series(d) Fourier seriesI had been asked this question in a national level competition.My doubt stems from Discretization Aspects topic in section Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer»

The correct answer is (d) Fourier series

Explanation: Von Neumann stability analysis is otherwise called as Fourier stability analysis. It is a TECHNIQUE used to ANALYSE the stability of LINEAR PARTIAL differential equations. It is named as Fourier stability analysis as it is based on Fourier decomposition of numerical error.



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