An Emergent Approach for Solving Second-Order Volterra Partial Integro-Differential Equation Using the Subdivision Collocation Technique

Authors

  • Zainab Iqbal
  • Syeda Tehmina Ejaz
  • Mustafa Inc Firat University
  • Ghulam Mustafa
  • Siti Sabariah Binti Abas

Abstract

A new collocation technique based on interpolating subdivision scheme
has been introduced in present article to deal with second-order Volterra partial
integro-differential equation (VPIDE). The proposed technique uses the basis functions
of a subdivision scheme to approximate the spatial derivatives, while the temporal
derivatives are discretized using Euler method and integral term is approximated
using the product trapezoidal integration rule. Moreover, to verify the effectiveness
and efficiency of the proposed scheme, several test problems are tested along with
error estimation and stability analysis. Finally, the numerical graphical findings are
compared with other existing methods to validate the theoretical framework.

Author Biography

Mustafa Inc, Firat University

Mathematics

Published

2026-09-16

Issue

Vol. 21 (2027)

Section

No. 1

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