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In Von Neumann analysis, the solution is expanded using ____________

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In Von Neumann analysis, the solution is expanded using ____________

(a) Laurent series

(b) McLaurin series

(c) Taylor series

(d) Fourier series

I 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

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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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