An Impact of the Small and Large Grid Sizes on Differential Equations

  • Lubna Naz Department of Natural Sciences, BNB Women Univesity, Sukkur, Pakistan
  • Fahim Raees Mathematics, Faculty of Information Sciences and Humanities, NED UET, Karachi, Pakistan
  • A. H. Shaikh Department of Mathematics & Statistics, CCSIS , Institute of Business Management, Karachi, Pakistan
  • Asif Ali Department of Basic Sciences & Related Studies, MUET, Jamshoro, Pakistan
Keywords: Finite Difference Approximation, Ordinary Differential Equations, Partial Differential Equations.


The finite difference technique is oldest numerical method to solve differential equations. Like many differential
equations, Helmholtz differential equation which is used to describe many physical phenomena, has long been
solved using finite difference method. can be described by Helmholtz Differential equations. The solution of the
Helmholtz type differential equations is very important. The information that it belongs together because it tells
one coherent story just knowing a little bit about finite differences through to how to solve differential equations an especial technique is used, how to implement finite difference method and the tool which is used as generic enough that will immediately be given a whole new differential equation. The analysis of small to moderate sized presented with the help of a few examples. The improved finite difference method is presented with examples, the method is simple, clear, and short the MatLab code is available, the improved finite difference method is suitable and easy to implement, manually as well as computationally.

How to Cite
Naz, L., Raees, F., Shaikh, A. H., & Ali, A. (2021). An Impact of the Small and Large Grid Sizes on Differential Equations. Quaid-E-Awam University Research Journal of Engineering, Science & Technology, Nawabshah., 19(2), 54-59.