Nature

Collocation method for solving fractional reaction–diffusion problem arising in chemistry

In this study, a numerical approach was developed to approximate the solution of the Caputo-type fractional reaction–diffusion problem. In the proposed method, the Caputo fractional derivative and the ...
Nature

Heuristic computational approach for nonlinear reaction–diffusion kinetics in catalytic systems

$$\:{y}^{{\prime\:}{\prime\:}}\left(x\right)+\frac{n}{x}{y}^{{\prime\:}}\left(x\right)+gf\left(y\right)=0,\:\:x\in\:\left[\text{0,1}\right]$$ The paper is organized ...