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Title
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A NUMERICAL SCHEME TO SOLVE VARIABLE ORDER DIFFUSION-WAVE EQUATIONS
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Type
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JournalPaper
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Keywords
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variable order diffusion-wave equations, Bernstein polynomials, operational matrix, collocation method
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Abstract
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In this work, we consider variable order diffusion-wave equations. We choose variable order derivative in the Caputo sense. First, we approximate the unknown functions and its derivatives using Bernstein basis. Then, we obtain operational matrices based on Bernstein polynomials. Finally, with the help of these operational matrices and collocation method, we can convert variable order diffusion-wave equations to an algebraic system. Few examples are given to demonstrate the accuracy and the competence of the presented technique.
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Researchers
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Hossein Jafari (Second Researcher), Abdullahi Rashid Adem (Third Researcher), Roghayeh Moallem Ganji (First Researcher)
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