A spectral collocation method for fractional chemical clock reactions

Abstract

We implement an efficient computational scheme to study the effect of precursor consumption on chemical clock reactions. The proposed model is formulated as a system of FDEs with power kernel. This paper considers the fractional derivatives of Liouville-Caputo (LC). We use the spectral collocation method (SCM) with the help of the third-kind Chebyshev polynomials. This scheme generates the fast convergent series solutions with conveniently determinable coefficients. We compute the residual error function (REF) to satisfy the accuracy of the introduced technique. This approach is an easy and efficient tool for implementing the study of such these models. We introduce a comparison between the obtained approximate solutions and those which occurred using a previously published method and excellent agreement is reported.