Title
An improved quasilinearization method for second order nonlinear boundary value problems
Abstract
Solutions to the general second order nonlinear boundary value problems, arising in many physical phenomena, such as dynamic programming, fluid flow over a solid object, and heat transfer in a solid and/or adjacent to a solid body in a liquid, are obtained. Also, existence, uniqueness, and convergence results are established by using quasilinearization and monotone iterative methods. Furthermore, examples are presented to demonstrate the application of the solution techniques. © 1997 Academic Press.
Publication Date
10-1-1997
Publication Title
Journal of Mathematical Analysis and Applications
Volume
214
Issue
1
Number of Pages
55-62
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1006/jmaa.1997.5583
Copyright Status
Unknown
Socpus ID
0031240207 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0031240207
STARS Citation
Mohapatra, R. N.; Vajravelu, K.; and Yin, Y., "An improved quasilinearization method for second order nonlinear boundary value problems" (1997). Scopus Export 1990s. 3015.
https://stars.library.ucf.edu/scopus1990/3015