On Solving Classes of Differential Equations with Applications

  • S. Al-Ahmad Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia
  • I. M. Sulaiman Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia
  • R. AlAhmad Department of Mathematics., Yarmouk University, Irbid, Jordan. Faculty of Engineering, Higher colleges of technology, Ras Alkhaimah, UAE
  • M. Mamat Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia
  • M. Al-Ahmad Faculty of Science and Technology Information, Irbid National University, Irbid, Jordan
Keywords: nested factorization, differential operators, difference operators

Abstract

Given the difficultly of applying the methods of variation of parameters and undetermined coefficients for many classes of differential equations and inspiration of the role of the Linear Differential Operators to solve classes of Differential equations. In this paper, we introduce the nested factorization technique for solving classes of Differential equations using the basic differentiation and integration approach. Numerical examples with encouraging results have been presented to illustrate the efficiency of the method.

Published
2019-12-31