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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2653

Title: High Order A-Stable Block ETR2s and their Application to System of First Order Odes
Authors: Awari, Y.S.
Garba, E.J.D.
Kumleng, G.M.
Keywords: Extended Trapezoidal Rule of Second kind
Stiff System
Power Series, A(  )-Stability Scientific Computation
A-Stable Method
Ordinary Differential Equations, and Collocation Method
Issue Date: Dec-2017
Publisher: Asian Journal of Natural & Applied Sciences
Series/Report no.: Vol. 6;No. 4; Pp 36-43
Abstract: An eighth order block Extended Trapezoidal Rule of Second kind (ETR₂s) is presented for the numerical integration of stiff system of first-order ordinary differential equations. In the derivation process, we adopt the power series approach which leads to a system of equations that would be solved simultaneously in block form to generate approximate solution for the differential equations. The stability properties of the method are also presented. Some test, reported to emphasize pros and cons of the method.
URI: http://hdl.handle.net/123456789/2653
ISSN: 2186-8476
Appears in Collections:Mathematics

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