Page 47 - programme book

DE-002
Solving Neutral Delay Volterra Integro-differential Equation using Block
Method

Nur Inshirah Naqiah Ismail 1,a) , Zanariah Abdul Majid 2,b) , Norazak Senu 1, c)
and Nadihah Wahi 2, d)

1 Institute for Mathematical Research, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.
2 Department of Mathematics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.

a) Corresponding author: inshirahismail8996@gmail.com
b) amzana@upm.edu.my
c) norazak@upm.edu.my
c) nadihah@upm.edu.my

Abstract. The aim of this research is to produce accurate numerical results in solving neutral
Volterra delay integro-differential equations (NVDIDE) of constant type. A third-order explicit
multistep block method is derived by applying the Taylor series. The problems are solved by
approximating two points simultaneously with constant step. The delay arguments are
approximated using previously calculated values while the integration part is approximated using
the quadrature rule. The method is assumed to be reliable in solving NVDIDE of constant type.

Keywords: Constant delay, Multistep Block Method, Neutral Delay Volterra Integro-
Differential Equation.