Tau method for the numerical solution of a fuzzy fractional kinetic model and its application to the oil palm frond as a promising source of xylose

• Published in: Journal of computational physics Vol. 294; pp. 562 - 584
• Main Authors: Ahmadian, A., Salahshour, S., Baleanu, D., Amirkhani, H., Yunus, R.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01-08-2015
• Subjects: Approximation; Caputo fractional derivatives; Fuzzy; Fuzzy differential equations; Fuzzy logic; Fuzzy set theory; Laguerre polynomials; Lignocellulose; Mathematical models; Operational matrices; Palm; Spectral tau method; Xylose; Spectral tau method; Laguerre polynomials; Operational matrices; Caputo fractional derivatives; Fuzzy differential equations
• ISSN: 0021-9991; 1090-2716
• DOI: 10.1016/j.jcp.2015.03.011

The Oil Palm Frond (a lignocellulosic material) is a high-yielding energy crop that can be utilized as a promising source of xylose. It holds the potential as a feedstock for bioethanol production due to being free and inexpensive in terms of collection, storage and cropping practices. The aim of the paper is to calculate the concentration and yield of xylose from the acid hydrolysis of the Oil Palm Frond through a fuzzy fractional kinetic model. The approximate solution of the derived fuzzy fractional model is achieved by using a tau method based on the fuzzy operational matrix of the generalized Laguerre polynomials. The results validate the effectiveness and applicability of the proposed solution method for solving this type of fuzzy kinetic model.
•A new fractional kinetic equation under uncertainty was addressed to depict the chemical reaction arising in Palm Oil Frond.•An efficient numerical simulation based on a tau method was derived to solve the proposed kinetic equation.•Different cases were solved to demonstrate the validity and efficiency of the proposed technique.