An Improved Quasilinearization Method for Second Order Nonlinear Boundary Value Problems

✍ Scribed by R.N. Mohapatra; K. Vajravelu; Y. Yin

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 141 KB
• Volume: 214
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1997.5583

✦ Synopsis

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 andror 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.