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A numerical method for solving Linear Non-homogenous Fractional Ordinary Differential Equation by using the operational matrices of the Bernstein polynomials |
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PP: 441-445 |
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Author(s) |
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Behrouz Parsa Moghaddam,
Arman Aghili,
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Abstract |
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In this paper, a numerical method for solving LNFODE (Linear Non-homogenous Fractional Ordinary Differential Equation)
is presented. The method presented is based on Bernstein polynomials approximation. The operational matrices of integration,
differentiation and products are introduced and utilized to reduce the LNFODE problem in order to solve algebraic equations. The
method is general, easy to implement, and yields very accurate results. Illustrative examples are included to demonstrate the validity
and applicability of the technique.
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