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Block Solver for Multidimensional Systems of Ordinary Differential Equations

Oghonyon, J. G. and Okunuga, S. A. and Ogunniyi, P.O. (2022) Block Solver for Multidimensional Systems of Ordinary Differential Equations. WSEAS TRANSACTIONS on FLUID MECHANICS, 17. pp. 89-96. ISSN 2224-347X

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This research study aimed at developing block solver for multidimensional systems (BSMS) of ordinary differential equations. This method will be formulated via interpolation and collocation techniques with multinomial as the basis function approximate. The block solver has the capacity to utilize each principal local truncation errors to generate the convergence criteria that will ensure convergence. Some theoretical properties will be stated. The process for executing the block solver will be done via the idea of the convergence criteria introduced. Step by step implementation algorithm will be specified. Some selected model applications will be worked out and a suitable step size will be determined to satisfy the convergence criteria in order to enhance the accuracy and efficiency of the method. The implementation of BSMS is coded in Mathematica and executed under the platform of Mathematica Kernel 9.

Item Type: Article
Uncontrolled Keywords: Block solver; interpolation and collocation; multidimensional systems; variable step size; model applications; convergence criteria, implementation algorithm; Mathematica Kernel
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: nwokealisi
Date Deposited: 29 Sep 2022 11:04
Last Modified: 29 Sep 2022 11:04

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