Reliable treatment for solving boundary value problems of pantograph delay differential equation

Abdul Majid Wazwaz, Muhammad Asif Zahoor Raja, Muhammad Ibrahim Syam

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

This work presents an accurate and reliable treatment of the pantograph equation, which is a delay differential equation that appears in many scientific applications. The Adomian decomposition method and the variational iteration method will be used to carry out this work. Both the Adomian decomposition method and the variational iteration method provide convergent series solutions for linear and nonlinear differential equations. We conduct a comparative study between the two methods by highlighting the specific features of each method. Four linear and nonlinear pantograph equations will be investigated to support this work. The power of the two methods is confirmed.

Original languageEnglish
Article number102
JournalRomanian Reports in Physics
Volume69
Issue number1
Publication statusPublished - 2017

Keywords

  • Adomian decomposition method
  • Delay differential equation
  • Pantograph equation
  • Variational iteration method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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