Modified and a new spectral method for solving nonlinear ordinary differential equations

African Journal of Mathematics and Computer Science Research

A. Aminataei¹ 

关键词: A new spectral method;    nonlinear ordinary differential equations.;   

DOI  :  10.5897/AJMCSR2013.0481

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we present a modified and new version of spectral method which is based on minimization of obtained residual term innorm, whereis a weight function with respect to Jacobi polynomials. Using this approach is efficient and effective rather than Tau and collocation methods. It reduces the nonlinear ordinary differential equations to the nonlinear programming problems which is an easy problem to solve. Hence, easy implementation of the method is the importance of our approach and some numerical test experiments show the accuracy and efficiency of this method.

【 授权许可】

CC BY