A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations

被引：9
作者：
Baxter, Mathew [2 ]
Dewasurendra, Mangalagama [1 ]
Vajravelu, Kuppalapalle [1 ]
机构：
[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
[2] Florida Gulf Coast Univ, Dept Math, Ft Myers, FL 33965 USA
来源：
NUMERICAL ALGORITHMS | 2018年 / 77卷 / 04期
关键词：
Method of directly defining the inverse mapping; Nonlinear systems; Fluid flow; Heat transfer; Analytical methods; Homotopy analysis method; HOMOTOPY ANALYSIS METHOD; CONVECTION;
D O I：
10.1007/s11075-017-0359-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Liao introduced a new method for finding analytical solutions to nonlinear differential equations. In this paper, we extend this idea to nonlinear systems. We study the system of nonlinear differential equations that governs nonlinear convective heat transfer at a porous flat plate and find functions that approximate the solutions by extending Liao's Method of Directly Defining the Inverse Mapping (MDDiM).
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页码：1199 / 1211
页数：13
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