Optimization of two-step block method with three hybrid points for solving third order initial value problems
Volume 12, Issue 7, pp 450--469
http://dx.doi.org/10.22436/jnsa.012.07.04
Publication Date: March 09, 2019
Submission Date: October 22, 2018
Revision Date: January 28, 2019
Accteptance Date: February 08, 2019
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Authors
Bothayna S. H. Kashkari
- Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia.
Sadeem Alqarni
- Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha, Saudi Arabia.
Abstract
An optimized two-step hybrid block method for the numerical solution of third-order initial value problems is presented. The method
takes into regard three hybrid points which are selected suitably to optimize the local truncation errors of the main formulas for the block. The
method is zero-stable and consistent with sixth algebraic order. Some numerical examples are debated to demonstrate the efficiency and the accuracy
of the proposed method.
Share and Cite
ISRP Style
Bothayna S. H. Kashkari, Sadeem Alqarni, Optimization of two-step block method with three hybrid points for solving third order initial value problems, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 7, 450--469
AMA Style
Kashkari Bothayna S. H., Alqarni Sadeem, Optimization of two-step block method with three hybrid points for solving third order initial value problems. J. Nonlinear Sci. Appl. (2019); 12(7):450--469
Chicago/Turabian Style
Kashkari, Bothayna S. H., Alqarni, Sadeem. "Optimization of two-step block method with three hybrid points for solving third order initial value problems." Journal of Nonlinear Sciences and Applications, 12, no. 7 (2019): 450--469
Keywords
- Two-step hybrid block method
- third-order initial value problems
- stability
- consistent
MSC
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