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

By Behrouz Parsa Moghaddam, J. Machado, Maria Luísa Morgado. Applied Numerical Mathematics, 2019

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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 Du Fort–Frankel method. The unconditional stability and the convergence of the scheme are analyzed. Simulations illustrate the application of the new algorithm.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b6fa57ca7a045721d586999240fae413e39d7546