An Efficient Haar Wavelet Series Method to Solve Higher-order Multi-pantograph Equations Arising in Electrodynamics

Authors

  • Afroz
  • Basharat Hussain
  • Abdullah

Keywords:

Pantograph equations; Delay Ordinary Differential Equation; Numerical method; Collocation points; Haar wavelets.

Abstract

The primary aim of this paper is to develop a numerical method based on Haar wavelets for solving second and higher-order multi-pantograph differential equations. This method transforms the differential equation into a system of algebraic equations with undetermined coefficients. These algebraic systems can be solved either by Newton’s or Broyden’s iterative methods. Finally, few test examples are taken from the literature to show the computational efficiency of this method.

Key words and phrases. Pantograph equations; Delay Ordinary Differential Equation; Numerical method; Collocation points; Haar wavelets.

2010 Mathematics Subject Classification. 34Kxx , 65L03, 65L05 ,65L60

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Published

2025-05-18

How to Cite

Afroz, Basharat Hussain, & Abdullah. (2025). An Efficient Haar Wavelet Series Method to Solve Higher-order Multi-pantograph Equations Arising in Electrodynamics. Jordan Journal of Mathematics and Statistics, 15(4A), 787–805. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/698

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Articles