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A Computational Numerical Study of Burger Equation with Fractal Fractional Derivative |
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PP: 99-112 |
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doi:10.18576/pfda/100110
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Author(s) |
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Sonal Jain,
Ho-Hon Leung,
Firuz Kamalov,
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Abstract |
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| We can observe the idea of fractal medium in a number of real-world problems. In this work, we demonstrate that the idea of the fractal derivative describes the fluid’s movement inside these media in addition to serving as a representation of the fractal sharps. We develop the solution of the viscous Burger equation using various fractal-fractional derivative kernels in this study. We use Newton’s Polynomial approach to solve the fractional Burgers equation in order to solve the numerical procedure. We give simulations for various values of the fractal dimensions to demonstrate the applicability of the current approach in fractal media.
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