One-step block method for solving Volterra integro-differential equations

Citation

Mohamed, Nurul Atikah and Abdul Majid, Zanariah (2014) One-step block method for solving Volterra integro-differential equations. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. (pp. 1-6).

Abstract

One-step block method for solving linear Volterra integro-differential equations (VIDEs) is presented in this paper. In VIDEs, the unknown function appears in the form of derivative and under the integral sign. The popular methods for solving VIDEs are the method of quadrature or quadrature method combined with numerical method. The proposed block method will solve the ordinary differential equations (ODEs) part and Newton-Cotes quadrature rule is applied to calculate the integral part of VIDEs. Numerical problems are presented to illustrate the performance of the proposed method.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1063/1.4932427
Publisher:	AIP Publishing LLC
Keywords:	Newton-Cotes quadrature rule; One-step block method; Volterra integro-differential equations
Depositing User:	Nabilah Mustapa
Date Deposited:	27 Sep 2017 10:47
Last Modified:	27 Sep 2017 10:47
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4932427
URI:	http://psasir.upm.edu.my/id/eprint/57442
Statistic Details:	View Download Statistic

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