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Title
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APPLICATION OF HOSOYA POLYNOMIAL TO SOLVE A CLASS OF TIME-FRACTIONAL DIFFUSION EQUATIONS
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Type
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JournalPaper
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Keywords
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Time-Fractional Kolmogorov Equations; Fractional Advection–Diffusion Equations; Hosoya Polynomial; Operational Matrix
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Abstract
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In this paper, we study time-fractional diffusion equations such as the time-fractional Kolmogorov equations (TF–KEs) and the time-fractional advection–diffusion equations (TF– ADEs) in the Caputo sense. Here, we have developed the operational matrices (OMs) using the Hosoya polynomial (HP) as basis function for OMs to obtain solution of the TF–KEs and the TF–ADEs. The great benefit of this technique is converting the TF–KEs and the TF–ADEs to algebraic equations, which can be simply solved the problem under study. We provide error bound for the approximation of a bivariate function using the HP. Furthermore, comparison of the numerical results obtained using the proposed technique with the exact solution is done. The results prove that the proposed numerical method is most relevant for solving the TF–KEs and the TF–ADEs and accurate
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Researchers
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VAN THINH NGUYEN (Fifth Researcher), MALUTI KGAROSE (Fourth Researcher), SONALI MANDAR NARSALE (Third Researcher), Roghayeh Moallem Ganji (Second Researcher), Hossein Jafari (First Researcher)
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