Open AccessNumerical method in solving neutral and retarded Volterra delay integro-differential equations
Author(s) -
Nur Inshirah Naqiah Ismail,
Zanariah Abdul Majid,
Norazak Senu,
Nadihah Wahi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1988/1/012033
Subject(s) - mathematics , convergence (economics) , constant (computer programming) , volterra integral equation , differential equation , quadrature (astronomy) , delay differential equation , consistency (knowledge bases) , numerical integration , taylor series , numerical analysis , mathematical analysis , zero (linguistics) , integral equation , computer science , physics , geometry , economic growth , optics , economics , programming language , linguistics , philosophy
The aim of this research is to produce accurate numerical results in solving neutral Volterra delay integro-differential equations (NVDIDE) and retarded Volterra delay integro-differential equations (RVDIDE) of constant type. A third-order explicit multistep block method is derived by applying the Taylor series. The consistency, zero stability, and convergence of the method are determined. The problems are solved by approximating two points simultaneously with constant step size. The delay arguments are approximated using previously calculated values while the integration part is approximated using the quadrature rule. The numerical results obtained have shown that the proposed explicit method is comparable with the other methods and is assumed to be reliable in solving NVDIDE and RVDIDE of constant type.