Abstract
The time–fractional reaction–diffusion (TFRD) model has broad physical perspectives and theoretical interpretation, and its numerical techniques are of significant conceptual and applied importance. A numerical technique is constructed for the solution of the TFRD model with the non-singular kernel. The Caputo–Fabrizio operator is applied for the discretization of time levels while the extended cubic B-spline (ECBS) function is applied for the space direction. The ECBS function preserves geometrical invariability, convex hull and symmetry property. Unconditional stability and convergence analysis are also proved. The projected numerical method is tested on two numerical examples. The theoretical and numerical results demonstrate that the order of convergence of 2 in time and space directions.
Highlights
Fractional calculus (FC) is described as an extension to arbitrarily non-integer order of ordinary differentiation
FC is being used for modeling physical phenomena by fractional-order differential equations (FODEs)
The goal of this research is to explore a numerical technique for the time–fractional reaction–diffusion (TFRD) model, which is an implicit method and is based on extended cubic B-spline (ECBS) and Caputo–Fabrizio fractional derivative (CFFD) methods
Summary
Tayyaba Akram 1, * , Muhammad Abbas 2, * , Ajmal Ali 3 , Azhar Iqbal 4 and Dumitru Baleanu 5,6,7.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call