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Title: | A Class of New Block Generalized Adams Implicit Runge-Kutta Collocation Methods |
Authors: | Kumleng, G.M. Chollom, J.P. Omagwu, S. |
Keywords: | A-stable Generalized Adams methods Rung-Kutta methods Stiff Ordinary Differential Equations |
Issue Date: | Dec-2015 |
Publisher: | International Journal of Scientific & Engineering Research |
Series/Report no.: | Vol. 6;No. 12; Pp 5-10 |
Abstract: | In this paper, the reformulation of the block generalized Adams methods into block generalized Adams implicit Rung-Kutta
methods for step numbers k =3, 4, 5, is considered. This is because of the usefulness of block implicit Runge-Kutta methods for the
solution of stiff ordinary differential equations. The new methods proposed in this paper turn out to be A-stable and possess the stability properties of the Runge-Kutta methods and have implicit structure for accurate and efficient implementation. Numerical examples obtained demonstrate the accuracy and efficiency of the new block methods. |
URI: | http://hdl.handle.net/123456789/2622 |
ISSN: | 2229-5518 |
Appears in Collections: | Mathematics
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