Exact Integration of Reduced Fisher's Equation, Reduced Blasius Equation, and the Lorenz Model

✍ Scribed by Lance Roman-Miller; Philip Broadbridge

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 118 KB
• Volume: 251
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7020

✦ Synopsis

This paper further develops the construction of exact solutions of nonlinear ordinary differential equations by explicitly constructing integrating factors using convergent power series expansions and the Picard iteration method. The method is used to find the general solution of the reduced Fisher's equation and the reduced Blasius equation. A further generalization of the above methods using Jacobi's last multiplier theorem is used to solve the Lorenz model. ᮊ 2000 Aca- demic Press