A Method Of Directly Defining The Inverse Mapping For Solutions Of Coupled Systems Of Nonlinear Differential Equations

Creator

Mathew Baxter, Florida Gulf Coast University
Mangalagama Dewasurendra, University of Central Florida
Kuppalapalle Vajravelu, University of Central Florida

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