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Analysis and Efficient Sylvester-Based Implementation of a Dimension-Split ETD2RK Scheme for Multidimensional Reaction-Diffusion Equations
Ibrahim O. Sarumi
We propose and analyze a second-order, dimension-split exponential time differencing Runge--Kutta scheme (ETD2RK-DS) for multidimensional reaction--diffusion equations in two and t…
Rational Approximations for Oscillatory Two-Parameter Mittag-Leffler Function
Aljowhara H. Honain, Khaled M. Furati, Ibrahim O. Sarumi +1
The two-parameter Mittag-Leffler function is of fundamental importance in fractional calculus. It appears frequently in the solutions of fractional differential and inte…
Highly Accurate Global Padé Approximations of Generalized Mittag-Leffler Function and its Inverse
Ibrahim O. Sarumi, Khaled M. Furati, Abdul Q. M. Khaliq
The two-parametric Mittag-Leffler function (MLF), , is fundamental to the study and simulation of fractional differential and integral equations. However, these functions…
Inverse source in two-parameter anomalous diffusion, numerical algorithms and simulations over graded time-meshes
Khaled M. Furati, Kassem Mustapha, Ibrahim O. Sarumi +1
We consider an inverse source two-parameter sub-diffusion model subject to a nonlocal initial condition. The problem models several physical processes, among them are the microwave…