A hybrid approximation method for solving Hutchinson’s equation

✍ Scribed by Hamid Reza Marzban; Hamid Reza Tabrizidooz

• Publisher: Elsevier Science
• Year: 2012
• Tongue: English
• Weight: 655 KB
• Volume: 17
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2011.05.020

✦ Synopsis

interpolating polynomials a b s t r a c t

The hybrid function approximation method for solving Hutchinson's equation which is a nonlinear delay partial differential equation, is investigated. The properties of hybrid of block-pulse functions and Lagrange interpolating polynomials based on Legendre-Gausstype points are presented and are utilized to replace the system of nonlinear delay differential equations resulting from the application of Legendre pseudospectral method, by a system of nonlinear algebraic equations. The validity and applicability of the proposed method are demonstrated through two illustrative examples on Hutchinson's equation.