International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 9, Issue 6 (June 2022), Pages: 154-158

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 Technical Note

 Advanced efficient iterative methods to the Helmholtz equation

 Author(s): A. G. Shaikh 1, *, Wajid Shaikh 2, A. H. Shaikh 3, Muhammad Memon 1

 Affiliation(s):

 1Department of BS and RS, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
 2Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
 3Department of Mathematics, Institute of Business Management, Karachi, Pakistan

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0001-7367-993X

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2022.06.020

 Abstract:

Parallel computing has recently gained widespread acceptance as a means of handling very large computational data. Since iterative methods are appealing for large systems of equations, and they are the prime candidates for implementations on parallel architectures, We presented based on exploration, through virtual technology having 30 cores, in literature solutions of Helmholtz equation is available up to 12 cores by Jacobi method, here we increased the number of cores and virtual machine having 30 cores first time used to find the solution of Helmholtz equation, our findings are encouraging and found that parallel computing by OpenMP implementations is effective on current supercomputing as well as virtual machine platforms and that is an auspicious programming model to use for applications to be run on emerging and future platforms with accelerated nodes.

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: API, Fork join, Master thread, Parallel computing, OpenMP

 Article History: Received 10 December 2021, Received in revised form 24 March 2022, Accepted 12 April 2022

 Acknowledgment 

The authors would like to thank all researchers who participated in this study and gratefully acknowledge the support of the Quaid-e-Awam University of Engineering, Science and Technology Nawabshah Pakistan.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Shaikh AG, Shaikh W, and Shaikh AH et al. (2022). Advanced efficient iterative methods to the Helmholtz equation. International Journal of Advanced and Applied Sciences, 9(6): 154-158

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 Figures

 Fig. 1 Fig. 2

 Tables

 Table 1 Table 2 Table 3 

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