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Fractal nature is found in many real world problems. Fractured aquifers, in which groundwater occurs, are an example of fractal geometry/nature. In this paper, we make an attempt to develop… Click to show full abstract
Fractal nature is found in many real world problems. Fractured aquifers, in which groundwater occurs, are an example of fractal geometry/nature. In this paper, we make an attempt to develop a space time fractional-fractal Boussinesq equation. For numerical approximation of the developed fractional-fractal Boussinesq equation, Crank-Nicolson finite difference scheme is applied. Numerical simulation of the solution of Boussinesq equation is depicted graphically for different values of fractal dimensions and fractional order which shows applicability of the developed model to groundwater flow in fractured media. Stability and the convergence conditions of the Crank-Nicolson scheme are also investigated.
Journal Title: Chaos
Year Published: 2019
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