|国家预印本平台
首页|解一类高阶变系数时滞微分系统的新型算法

解一类高阶变系数时滞微分系统的新型算法

new method for solving high-order linear delay Fredholm-Volterra integro-differential equations with variable coefficients

中文摘要英文摘要

利用Chebyshev多项式及Taylor多项式组合的方法, 提出了一种求解高阶变系数时滞微分系统的新型数值算法. 数值例子验证了它的有效性.

n this paper, we developed a new method for solving high-order linear delay Fredholm-Volterra integro-differential equations with variable coefficients under the mixed conditions using Chebyshev and Taylor polynomials. The solution is obtained in terms of Chebyshev polynomials on the interval [-1, 1]. In addition, examples are presented to illustrate the pertinent features of the method and the results are discussed.

张国凤、丁恒飞、吴树荣

数学

hebyshev多项式aylor多项式hebyshev配置方法时滞微分系统

hebyshev polynomialsTaylor polynomialsChebyshev collocation methodDelay difference system

张国凤,丁恒飞,吴树荣.解一类高阶变系数时滞微分系统的新型算法[EB/OL].(2008-01-23)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200801-655.点此复制

评论