TY - JOUR
T1 - A novel algorithm for time-fractional foam drainage equation
AU - Al-Mdallal, Qasem M.
AU - Yusuf, Haruon
AU - Ali, Alaa
N1 - Publisher Copyright:
© 2020 Faculty of Engineering, Alexandria University
PY - 2020/6
Y1 - 2020/6
N2 - 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.
AB - 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.
KW - Caputo's fractional derivative
KW - Fractional Bernstein polynomials
KW - Fractional foam drainage equation
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U2 - 10.1016/j.aej.2020.04.007
DO - 10.1016/j.aej.2020.04.007
M3 - Article
AN - SCOPUS:85085748179
SN - 1110-0168
VL - 59
SP - 1607
EP - 1612
JO - Alexandria Engineering Journal
JF - Alexandria Engineering Journal
IS - 3
ER -