An Analysis of the Theta-Method for Pantograph-Type Delay Differential Equations

Fathalla A. Rihan, Ahmed F. Rihan

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The pantograph equation arises in electrodynamics as a delay differential equation (DDE). In this article, we provide the ϑ-method for numerical solutions of pantograph equations. We investigate the stability conditions for the numerical schemes. The theoretical results are verified by numerical simulations. The theoretical results and numerical simulations show that implicit or partially implicit ϑ-methods, with ϑ>1/2, are effective in resolving stiff pantograph problems.

Original languageEnglish
Article number8961352
JournalComplexity
Volume2022
DOIs
Publication statusPublished - 2022

ASJC Scopus subject areas

  • General Computer Science
  • General

Fingerprint

Dive into the research topics of 'An Analysis of the Theta-Method for Pantograph-Type Delay Differential Equations'. Together they form a unique fingerprint.

Cite this