A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations

被引：60

作者：

Burqan, Aliaa ^{[1
]}

El-Ajou, Ahmad ^{[2
]}

Saadeh, Rania ^{[1
]}

Al-Smadi, Mohammed ^{[3
]}

机构：

[1] Zarqa Univ, Dept Math, Fac Sci, Zarqa 13110, Jordan

[2] Al Balqa Appl Univ, Dept Math, Fac Sci, Salt 19117, Jordan

[3] Al Balqa Appl Univ, Ajloun Coll, Dept Appl Sci, Ajloun 26816, Jordan

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2022年 / 61卷 / 02期

关键词：

Series solutions; Caputo fractional derivative; Fractional partial differential equations; Integral transforms; HOMOTOPY PERTURBATION; INTEGRAL TRANSFORM; DERIVATIVES; CALCULUS; MODELS; SOLVE;

D O I：

10.1016/j.aej.2021.07.020

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, we introduce a new technique to create a series solution to the time-fractional Navier - Stokes equations is using a combination of the Laplace Transform with the residual power series method. Laurent series presented in the construction of the proposed method used for solving fractional physical equations. Speed and accuracy in extracting an exact or approximate solution are the most features of the new procedure. The proposed method examined two Navier-Stokes equations that representing the motion of flow in a pipe. Comparisons with previous methods and error analysis were performed to demonstrate the efficacy and accuracy of the technique. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.

引用

页码：1069 / 1077

页数：9

共 63 条

[1] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].