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Exact Operational Matrices for Rational Bernstein Polynomials and its Application for Solving MHD Problem
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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.
Title: Exact Operational Matrices for Rational Bernstein Polynomials and its Application for Solving MHD Problem
Description:
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.
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