Two-point hybrid multistep block method for solving first-order initial value problems of Volterra integro-differential equation with neutral delay

Citation

Ismail, Nur Inshirah Naqiah and Abdul Majid, Zanariah (2026) Two-point hybrid multistep block method for solving first-order initial value problems of Volterra integro-differential equation with neutral delay. Journal of Quality Measurement and Analysis, 22 (1). pp. 1-21. ISSN 1823-5670; eISSN: 2600-8602

Abstract

A generalized two-point hybrid multistep block method is proposed for solving Volterra integro-differential equations with neutral delay (NVDIDEs). Initial value problems (IVPs) for NVDIDEs are estimated synchronously at two points, along with an off-grid point forming a hybrid block scheme. Detailed strategies for solving the integral and differential parts are addressed. Convergence and stability analyses of the developed method are analyzed with the stability region derived from the stability polynomial. Numerical results are provided to evaluate the performance of the proposed method in comparison to existing non-block methods. The results are concluded to be comparable with the existing methods and reliable to solve NVDIDE.

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Additional Metadata

Item Type:	Article
Subject:	Economics and Econometrics
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.17576/jqma.2201.2026.01
Publisher:	Penerbit Universiti Kebangsaan Malaysia
Keywords:	Hybrid multistep block method; NVDIDE; Off-step method
Sustainable Development Goals (SDGs):	SDG 9: Industry, Innovation and Infrastructure, SDG 4: Quality Education, SDG 17: Partnerships for the Goals
Depositing User:	Ms. Siti Radziah Mohamed@mahmod
Date Deposited:	16 Jul 2026 08:10
Last Modified:	16 Jul 2026 08:10
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.17576/jqma.2201.2026.01
URI:	http://psasir.upm.edu.my/id/eprint/126333
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