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Exact Operational Matrices for Rational Bernstein Polynomials and its Application for Solving MHD Problem
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  • Fardin Salehi,
  • FATEMEH BAHARIFARD,
  • Sayyed Ali Hossayni,
  • Kourosh Parand
Fardin Salehi
Shahid Beheshti University

Corresponding Author:[email protected]

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FATEMEH BAHARIFARD
Institute for Research in Fundamental Sciences
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Sayyed Ali Hossayni
Shahid Beheshti University
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Kourosh Parand
Shahid Beheshti University
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Abstract

In this paper, Rational Bernstein polynomials on the semi-infinite interval are adapted to solve a Magnetohydrodynamic (MHD) problem. Also, the derivative, product, convert, and Galerkin Exact Operational Matrices (EOMs) of these polynomials are produced. Using the spectral Galerkin method and the Exact Operational Matrices (EOMs) of Rational Bernstein polynomials, we solve the problem with high accuracy and speed. The problem is the flow of MHD micropolar over a moving plate with suction and injection boundary conditions. Comparing the results of the Rational Bernstein Galerkin method with operational matrices and without operational matrices shows that the present method is faster than another method. Also, comparing the results of the Rational Bernstein Galerkin method and Rational Gegenbauer Tau method shows that the present method is more accurate than another method.
10 Aug 2022Submitted to Mathematical Methods in the Applied Sciences
16 Aug 2022Submission Checks Completed
16 Aug 2022Assigned to Editor
19 Dec 2022Reviewer(s) Assigned
28 Mar 2023Review(s) Completed, Editorial Evaluation Pending
31 Mar 2023Editorial Decision: Revise Major
03 Jul 20231st Revision Received
05 Jul 2023Submission Checks Completed
05 Jul 2023Assigned to Editor
05 Jul 2023Review(s) Completed, Editorial Evaluation Pending
06 Jul 2023Reviewer(s) Assigned
06 Jul 2023Editorial Decision: Accept