A novel algorithm for time-fractional foam drainage equation

被引：33
|
作者：
Al-Mdallal, Qasem M. [1 ]
Yusuf, Haruon [1 ]
Ali, Alaa [1 ]
机构：
[1] United Arab Emirates Univ, Dept Math Sci, POB 15551, Abu Dhabi, U Arab Emirates
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2020年 / 59卷 / 03期
关键词：
Fractional Bernstein polynomials; Fractional foam drainage equation; Caputo's fractional derivative; SPECTRAL ELEMENT METHOD; DIFFERENTIAL-EQUATIONS; BERNSTEIN POLYNOMIALS;
D O I：
10.1016/j.aej.2020.04.007
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, we present a novel numerical algorithm for solving the nonlinear time-fractional foam drainage equation at early stages of the time. The analytical solution of the nonlinear time-fractional foam drainage equation is represented by a linear combination of fractional Bernstein basis polynomials over a time interval [0, T]. Detailed numerical algorithm with several theoretical results are discussed. Several examples are discussed to test the efficiency and accuracy of the present scheme. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
引用
收藏
页码：1607 / 1612
页数：6
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