Solving volterra integrodifferential equations via diagonally implicit multistep block method

Citation

Baharum, Nur Auni and Abdul Majid, Zanariah and Senu, Norazak (2018) Solving volterra integrodifferential equations via diagonally implicit multistep block method. International Journal of Mathematics and Mathematical Sciences, 2018 (7392452). pp. 1-10. ISSN 0161-1712; ESSN: 1687-0425

Abstract

The performance of the numerical computation based on the diagonally implicit multistep block method for solving Volterra integrodifferential equations (VIDE) of the second kind has been analyzed. The numerical solutions of VIDE will be computed at two points concurrently using the proposed numerical method and executed in the predictor-corrector (PECE) mode. The strategy to obtain the numerical solution of an integral part is discussed and the stability analysis of the diagonally implicit multistep block method was investigated. Numerical results showed the competence of diagonally implicit multistep block method when solving Volterra integrodifferential equations compared to the existing methods.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2018/7392452
Publisher:	Hindawi
Keywords:	Volterra integrodifferential equations (VIDE); Block method
Depositing User:	Ms. Nida Hidayati Ghazali
Date Deposited:	29 Apr 2020 19:07
Last Modified:	29 Apr 2020 19:07
Altmetrics:	https://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2018/7392452
URI:	http://psasir.upm.edu.my/id/eprint/73937
Statistic Details:	View Download Statistic

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