Journal
RESULTS IN PHYSICS
Volume 54, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.rinp.2023.107119
Keywords
Time fractional reaction-diffusion model; B-spline basis; Atangana-Baleanu derivative
Ask authors/readers for more resources
In this paper, the collocation approach using the higher order extended cubic B-spline function is employed to numerically solve the generalized time fractional Burger-Huxley equation. The stability and convergence analysis are also presented, and numerous examples show the validity of the technique.
In this manuscript, the collocation approach using the higher order extended cubic B-spline (ECBS) as the basis function is efficiently used to numerically solve the generalized time fractional Burger-Huxley equation (TFBHE). The Burger-Huxley equation is a widely studied nonlinear partial differential equation that models the propagation of nerve impulses in excitable systems such as the neurons in the brain. The time fractional versions of the Burger-Huxley equation (BHE), which incorporate fractional derivatives in time direction to model the anomalous diffusion, reaction mechanism, and memory effects observed in many physical and biological systems. The theta-weighted technique and the Atangana-Baleanu operator are employed to discretize the equation. The higher order EBCS method is used in space direction. The stability and convergence analysis are also presented. Numerous examples are carried out to show the validity of the technique. The graphical representations and computed results are observed the good agreement with the literature.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available