A hybrid approximation method for solving Hutchinson%26apos;s equation

作者：Marzban Hamid Reza^*; Tabrizidooz Hamid Reza

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(1): 100-109.

DOI：10.1016/j.cnsns.2011.05.020

• Nonlinear delay partial differential equations
• Hutchinson%26apos
• s equation
• Pseudospectral methods
• Block-pulse functions
• Lagrange interpolating polynomials

The hybrid function approximation method for solving Hutchinson%26apos;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-Gauss-type 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%26apos;s equation.

• 出版日期2012-1