A Block Solver of Variable Step Variable Order for Stiff ODEs

Oghonyon, J. G. and Abodunrin, T.J and Ogunniyi, P.O. (2022) A Block Solver of Variable Step Variable Order for Stiff ODEs. Mathematical Modelling of Engineering Problems, 9 (3). pp. 675-682.

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Abstract

A block solver of variable step variable order (BSVSVO) is suggested for stiff ordinary differential equations (ODEs). The block solver is employed to enhance the performance for stiff ODEs via variable step variable order to achieve faster convergence with better accuracy and lesser maximum error. Block solver is formulated via interpolation and collocation together with power series as the basis function approximation. The principal local truncation error (PLTE) of the block solver is utilized to generate the convergence criteria. Some investigation of the theoretical properties will be mentioned and analyzed. The block solver will be implemented using some selected test problems and compared with existing methods to showcase the convergence, high efficiency and accuracy thereby ensuring a better maximum error of the suggested method.

Item Type:	Article
Uncontrolled Keywords:	block solver, variable step, variable order, predictor-corrector algorithm program, stiff ODEs, principal local truncation error
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	nwokealisi
Date Deposited:	29 Sep 2022 11:25
Last Modified:	29 Sep 2022 11:25
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/16226

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