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An Impact of the Small and Large Grid Sizes on Diferential Equations
Author(s):
1. Lubna Naz: Department of Natural Sciences, BNB Women Univesity, Sukkur, Pakistan
2. Fahim Raees: Mathematics, Faculty of Information Sciences and Humanities, NED UET Karachi, Pakistan
3. A.H. Sheikh: Department of Mathematics & Statistics, CCSIS, Institute of Business Management, Karachi, Pakistan
4. Asif Ali: Department of Basic Sciences & Related Studies, MUET Jamshoro, Pakistan
Abstract:
The finite diference technique is oldest numerical method to solve diferential equations. Like many diferential equations, Helmholtz diferential equation which is used to describe many physical phenomena, has long been solved using finite diference method. can be described by Helmholtz Diferential equations. The solution of the Helmholtz type diferential equations is very important. The information that it belongs together because it tells one coherent story just knowing a little bit about finite diferences through to how to solve diferential equations an especial technique is used, how to implement finite diference method and the tool which is used as generic enough that will immediately be given a whole new diferential equation. The analysis of small to moderate sized presented with the help of a few examples. The improved finite diference method is presented with examples, the method is simple, clear, and short the MatLab code is available, the improved finite diference method is suitable and easy to implement, manually as well as computationally.
Page(s): 54-59
Published: Journal: Quaid-e-Awam University Research Journal of Engineering, Science and Technology, Volume: 19, Issue: 2, Year: 2021
Keywords:
Diferential equations , Finite Diference , large grids
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