吴树荣^*， 张国凤， 丁恒飞

（  兰州大学数学与统计学院；  ）

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.
关键词： Chebyshev多项式；Taylor多项式；Chebyshev配置方法；时滞微分系统

Wu Shu-rong^*， Zhang Guo-feng， Ding Heng-fei

（  School of Mathematics and statistics, Lanzhou University；  ）

Abstract： 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.

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