Numerical methods in fluid mechanics: Difference between revisions

Revision as of 17:59, 6 March 2022

Revision as of 09:37, 7 November 2023

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:<math> \frac {u^{n+1} -u^n}{\Delta t } \approx \kappa u^n </math>

Equation is an explicit approximation to the original differential equation since no information about the unknown function at the future time (''n''&nbsp;+&nbsp;1)_''t'' has been used on the right hand side of the equation. In order to derive the error committed in the approximation we rely again on [[Taylor series]].

==Backward difference==