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Solution of a non-linear algebraic equation using the Wegstein Method

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
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Convergence is accelerated using the Wegstein method. This has application in chemical process simulators where the Wegstein method is applied to the tear stream. Wegstein method is the default method in Aspen Plus. The example in the notebook solves a simple non-linear algebraic equation using the fixed point and the Wegstein methods. It is found that the Wegstein’s method requires less iteration to find the solution.

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering

Wegstein method, non-linear algebraic equation, fixed point method, tear stream, chemical process simulators
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wegstein2.nb (33.2 KB) - Mathematica Notebook [for Mathematica 6.0]