Title
A Method Of Directly Defining The Inverse Mapping For Solutions Of Coupled Systems Of Nonlinear Differential Equations
Keywords
Analytical methods; Fluid flow; Heat transfer; Homotopy analysis method; Method of directly defining the inverse mapping; Nonlinear systems
Abstract
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).
Publication Date
4-1-2018
Publication Title
Numerical Algorithms
Volume
77
Issue
4
Number of Pages
1199-1211
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s11075-017-0359-0
Copyright Status
Unknown
Socpus ID
85020534047 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85020534047
STARS Citation
Baxter, Mathew; Dewasurendra, Mangalagama; and Vajravelu, Kuppalapalle, "A Method Of Directly Defining The Inverse Mapping For Solutions Of Coupled Systems Of Nonlinear Differential Equations" (2018). Scopus Export 2015-2019. 8586.
https://stars.library.ucf.edu/scopus2015/8586