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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2622

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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