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Line 53: :<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 '' +  1)_t<sub>''t''</sub> 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==

Numerical methods in fluid mechanics: Difference between revisions