TY - JOUR
TI - A heuristic optimization method of fractional convection reaction: An application to diffusion process
AU - Khan Najeeb Alam
AU - Hameed Tooba
AU - Khan Nadeem Alam
AU - Raja Muhammad Asif Zahoor
JN - Thermal Science
PY - 2018
VL - 22
IS - 11
SP - 243
EP - 252
PT - Article
AB - The convection differential models play an essential role in studying different chemical process and effects of the diffusion process. This paper intends to provide optimized numerical results of such equations based on the conformable fractional derivative. Subsequently, a well-known heuristic optimization technique, differential evolution algorithm, is worked out together with the Taylor’s series expansion, to attain the optimized results. In the scheme of the Taylor optimization method (TOM), after expanding the functions with the Taylor’s series, the unknown terms of the series are then globally optimized using differential evolution. Moreover, to illustrate the applicability of TOM, some examples of linear and non-linear fractional convection diffusion equations are exemplified graphically. The obtained assessments and comparative demonstrations divulged the rapid convergence of the estimated solutions towards the exact solutions. Comprising with an effective expander and efficient optimizer, TOM reveals to be an appropriate approach to solve different fractional differential equations modeling various problems of engineering.