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Solution of non-linear initial value problems by the orthogonal collocation method

✍ Scribed by B. Van Den Bosch; L. Hellinckx


Publisher
Elsevier Science
Year
1974
Weight
423 KB
Volume
7
Category
Article
ISSN
0300-9467

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The RKGL method for the numerical soluti
✍ J.S.C. Prentice πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 188 KB

We introduce the RKGL method for the numerical solution of initial-value problems of the form y =f (x, y), y(a)= . The method is a straightforward modification of a classical explicit Runge-Kutta (RK) method, into which Gauss-Legendre (GL) quadrature has been incorporated. The idea is to enhance the