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Consistency comes into the picture because of _________(a) McLaurin series expansion(b) Power series expansion(c) Fourier series expansion(d) Taylor series expansionThe question was posed to me at a job interview.The query is from Discretization Aspects topic in division Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer»

Right choice is (d) Taylor series expansion

To explain: CONSISTENCY wants the numerical solution to be the same as the ANALYTICAL solution. The numerical approximations of partial DIFFERENTIAL equations are done using the Taylor series expansion. The higher order terms in this series are neglected. This causes a DIFFERENCE between the numerical and the analytical solution.



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