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Numerical approach for a class of distributed order time fractional partial differential equations

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Abstract The numerical solution of distributed order time fractional partial differential equations based on the midpoint quadrature rule and linear B-spline interpolation is studied. The proposed discretization algorithm follows the… Click to show full abstract

Abstract The numerical solution of distributed order time fractional partial differential equations based on the midpoint quadrature rule and linear B-spline interpolation is studied. The proposed discretization algorithm follows the Du Fort–Frankel method. The unconditional stability and the convergence of the scheme are analyzed. Simulations illustrate the application of the new algorithm.

Keywords: fractional partial; partial differential; differential equations; time fractional; distributed order; order time

Journal Title: Applied Numerical Mathematics
Year Published: 2019

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