Please use this identifier to cite or link to this item: http://ir.futminna.edu.ng:8080/jspui/handle/123456789/5210
Title: An Analysis of an Algebraic Pattern of a First order and an Extended Second Order Runge-Kutta Type Method
Authors: Muhammad, Raihanatu
Yahaya, Yusuph Amuda
Abdulkareem, Ambali Saka
Keywords: Linear Transformation
Implicit
Runge-Kutta type
Algebraic pattern
Issue Date: 2020
Publisher: Faculty of Science, Kaduna State University
Citation: R. Muhammad, Y. A. Yahaya, A.S. Abdulkareem (2020) “An Analysis of an Algebraic Pattern of a First order and an Extended Second Order Runge-Kutta Type Method”Science World Journal Vol. 15(No 2) 16-18.
Abstract: The algebraic pattern of a 6-Stage Block Hybrid Runge –Kutta Type Methods (BHRKTM) for the solution of Ordinary Differential Equations (ODEs) is carefully analyzed. The analysis of the methods expressed in the Butcher Tableau led to the evolvement of two equations that satisfy the Runge – Kutta consistency conditions. The reason behind the uniform order and error constant for the developed first order and extended second order methods is explained using the theory of linear transformation and monomorphism. The pattern was retained during the transformation
URI: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/5210
ISSN: 1597-6343
Appears in Collections:Mathematics

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