Cover Image

Numerical solution on neutral delay Volterra integro-differential equation

In this research, the constant type of neutral delay Volterra integro-differential equations (NDVIDEs) are currently being resolved by applying the proposed technique in numerical analysis namely, two-point two off-step point block multistep method (2OBM4). This new technique is being applied in sol...

Full description

Saved in:
Bibliographic Details
Main Authors: Ismail, Nur Inshirah Naqiah, Abdul Majid, Zanariah
Format: Article
Published: Springer 2024
Online Access:http://psasir.upm.edu.my/id/eprint/112802/
https://link.springer.com/article/10.1007/s40840-024-01683-7
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.112802
record_format eprints
spelling my.upm.eprints.1128022024-11-11T08:16:11Z http://psasir.upm.edu.my/id/eprint/112802/ Numerical solution on neutral delay Volterra integro-differential equation Ismail, Nur Inshirah Naqiah Abdul Majid, Zanariah In this research, the constant type of neutral delay Volterra integro-differential equations (NDVIDEs) are currently being resolved by applying the proposed technique in numerical analysis namely, two-point two off-step point block multistep method (2OBM4). This new technique is being applied in solving NDVIDE, identified as a hybrid block multistep method, developed using Taylor series interpolating polynomials. To complete the algorithm, two alternative numerical approaches are introduced to resolve the integral and differential parts of the problems. Note that the differentiation is approximated by the divided difference formula while the integration is interpolated using composite Simpson’s rule. The proposed method has been analysed thoroughly in terms of its order, consistency, zero stability and convergence. The suitable stability region for 2OBM4 in solving NDVIDE has been constructed and the stability region is built based on the stability polynomial obtained. Consequently, numerical results are presented to demonstrate the effectiveness of the proposed 2OBM4. © The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024. Springer 2024 Article PeerReviewed Ismail, Nur Inshirah Naqiah and Abdul Majid, Zanariah (2024) Numerical solution on neutral delay Volterra integro-differential equation. Bulletin of the Malaysian Mathematical Sciences Society, 47 (3). art. no. 85. ISSN 0126-6705; eISSN: 2180-4206 https://link.springer.com/article/10.1007/s40840-024-01683-7 10.1007/s40840-024-01683-7
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description In this research, the constant type of neutral delay Volterra integro-differential equations (NDVIDEs) are currently being resolved by applying the proposed technique in numerical analysis namely, two-point two off-step point block multistep method (2OBM4). This new technique is being applied in solving NDVIDE, identified as a hybrid block multistep method, developed using Taylor series interpolating polynomials. To complete the algorithm, two alternative numerical approaches are introduced to resolve the integral and differential parts of the problems. Note that the differentiation is approximated by the divided difference formula while the integration is interpolated using composite Simpson’s rule. The proposed method has been analysed thoroughly in terms of its order, consistency, zero stability and convergence. The suitable stability region for 2OBM4 in solving NDVIDE has been constructed and the stability region is built based on the stability polynomial obtained. Consequently, numerical results are presented to demonstrate the effectiveness of the proposed 2OBM4. © The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024.
format Article
author Ismail, Nur Inshirah Naqiah
Abdul Majid, Zanariah
spellingShingle Ismail, Nur Inshirah Naqiah
Abdul Majid, Zanariah
Numerical solution on neutral delay Volterra integro-differential equation
author_facet Ismail, Nur Inshirah Naqiah
Abdul Majid, Zanariah
author_sort Ismail, Nur Inshirah Naqiah
title Numerical solution on neutral delay Volterra integro-differential equation
title_short Numerical solution on neutral delay Volterra integro-differential equation
title_full Numerical solution on neutral delay Volterra integro-differential equation
title_fullStr Numerical solution on neutral delay Volterra integro-differential equation
title_full_unstemmed Numerical solution on neutral delay Volterra integro-differential equation
title_sort numerical solution on neutral delay volterra integro-differential equation
publisher Springer
publishDate 2024
url http://psasir.upm.edu.my/id/eprint/112802/
https://link.springer.com/article/10.1007/s40840-024-01683-7
_version_ 1816132719695888384
score 13.223943

Similar Items