Citation
Baharum, N. A. and Majid, Z. A. and Senu, N.
(2022)
Boole's strategy in multistep block method for Volterra integro-differential equation.
Malaysian Journal of Mathematical Sciences, 16 (2).
237 - 256.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
This article presents a numerical approach for solving the second kind of Volterra integro- differential equation (VIDE). The multistep block-Boole's rule method will estimate the solutions for the linear and nonlinear problems of VIDE. The method computes two solutions for VIDE along the interval. The proposed method is developed by derivation of the Lagrange interpolating polynomial. The convergence and stability analysis of the derived method are discussed. From the perspective of total function calls and time-saving, the computation results explained that the derived method performs better than other existing methods.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.47836/mjms.16.2.05 |
| Publisher: | UPM Press |
| Keywords: | Diagonally implicit; Block method; Boole's rule; Volterra integro-differential equation |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 10 Oct 2023 02:07 |
| Last Modified: | 10 Oct 2023 02:07 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.47836/mjms.16.2.05 |
| URI: | http://psasir.upm.edu.my/id/eprint/100561 |
| Statistic Details: | View Download Statistic |
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