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

被引：59

作者：

Ahmadian, A. ^{[1
]}

Salahshour, S. ^{[2
]}

Baleanu, D. ^{[3
,4
]}

Amirkhani, H. ^{[5
]}

Yunus, R. ^{[5
]}

机构：

[1] Univ Putra Malaysia, Fac Sci, Dept Math, Upm Serdang 43400, Selangor, Malaysia

[2] Islamic Azad Univ, Mobarakeh Branch, Young Researchers & Elite Club, Mobarakeh, Iran

[3] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey

[4] Inst Space Sci, Magurele, Romania

[5] Univ Putra Malaysia, Inst Adv Technol ITMA, Serdang 43400, Selangor, Malaysia

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2015年 / 294卷

关键词：

Fuzzy differential equations; Caputo fractional derivatives; Spectral tau method; Laguerre polynomials; Operational matrices; JACOBI OPERATIONAL MATRIX; DIFFERENTIAL-EQUATIONS; HYDROLYSIS; BIOFUELS; CALCULUS;

D O I：

10.1016/j.jcp.2015.03.011

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：562 / 584

页数：23

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