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• W2896885197 abstract "Abstract This article studies a numerical scheme for solving two-dimensional variable-order time fractional nonlinear advection-diffusion equation with variable coefficients, where the variable-order fractional derivative is in the Caputo type. The main idea is expanding the solution in terms of the 2D Legendre wavelets (2D LWs) where the variable-order time fractional derivative is discretized. We describe the method using the matrix operators and then implement it for solving various types of fractional advection-diffusion equations. The experimental results show the computational efficiency of the new approach." @default.
• W2896885197 created "2018-10-26" @default.
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• W2896885197 date "2018-10-23" @default.
• W2896885197 modified "2023-10-14" @default.
• W2896885197 title "Two-Dimensional Legendre Wavelets for Solving Variable-Order Fractional Nonlinear Advection-Diffusion Equation with Variable Coefficients" @default.
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• W2896885197 doi "https://doi.org/10.1515/ijnsns-2018-0168" @default.
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