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Title
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A numerical method to solve variable order differential equations using Operational matrix
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Type
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Presentation
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Keywords
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Variable order differential equations; Bernstein polynomials; Operational matrix.
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Abstract
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A numerical technique for solving a class of nonlinear variable order differential equations (VODEs) is introduced by using Bernstein Polynomials (BPs). Here we apply the operational matrix of Bps. With this matrix, the main equation is transformed into a system of algebraic equations by expanding the solution as Bernstein polynomials with unknown coefficients. Then, by solving algebraic equations, the numerical solutions are obtained. The results of numerical examples indicate that the proposed method is computationally efficient.
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Researchers
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ِDumitru Baleanu (Third Researcher), haleh tajadodi (Second Researcher), Hossein Jafari (First Researcher)
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