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|Title:||Moving grid method without interpolations|
|Citation:||Maths Technical Papers (Brunel University), pp 1-14, Oct 1973|
|Abstract:||In their method, to solve a one—dimensional moving boundary problem, Crank and Gupta suggest a grid system which moves with the Interface. The method requires some interpolations to be carried out which they perform by using a cubic spline or an ordinary polynomial. In the present paper these interpolations are avoided by employing a Taylor's expansion in space and time dimensions. A practical diffusion problem is solved and the results are compared with those obtained from other methods.|
|Appears in Collections:||Mathematical Science|
Dept of Mathematics Research Papers
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