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Title
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Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems
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Type
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JournalPaper
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Keywords
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Fractional diffusion equations, Caputo derivative, B-spline basis functions, collocation method, stability, convergence
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Abstract
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In this paper, we approximate the solution of the initial and boundary value problems of anomalous second- and fourthorder sub-diffusion equations of fractional order. The fractional derivative is used in the Caputo sense. To solve these equations, we will use a numerical method based on B-spline basis functions and the collocation method. It will be shown that the proposed scheme is unconditionally stable and convergent. Three numerical examples are adopted to demonstrate the performance of the proposed scheme.
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Researchers
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Fatemeh Arjang (Third Researcher), Khosro Sayevand (First Researcher), Allah Bakhsh Yazdani Cherati (Second Researcher)
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