• 论文 •

### 中立型泛函微分方程的多步法

1. 广西大学
• 出版日期:1984-03-14 发布日期:1984-03-14

### MULTISTEP METHODS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

1. Su De-fu Guangxi University
• Online:1984-03-14 Published:1984-03-14

In this paper, the methods of [1] is extended to functional differential equationsof neutral type. We have derived formulas of linear multistep methods for functionaldifferential equations of neutral type by Taylor's method, and developed a iterativealgorithm for implieit methods. Numerical results are provided.
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 [1] L. Tavernini, Linear multistep methods for the numerical solution of volterra functional differential equations, Applicable Analysis, 3: 2(1973) , 169-185． [2] R. Castleton, L. Crimin, A first order method for differential equations of neutral type, Math.of comp., 27: 123(1973) , 571-577． [3] M. Feldstein, Discretization Method for Retarded Ordinary Differential Equations, ph. D. Thesis,university of california, Los Angeles, Calf. 1964． [4] e. w. Cryer, L. Tavernini, The numerical solution of volterra functional differential equations by Euler's method. SIAM J. num. Anal., 9(1972) , 105-129． [5] L. Tavernini, One-step method for the numerical solution of volterra functional differential equations, SIAM J. num. Anal., 8(1917) , 786-795． [6] P. Henrici, Discrete variable Method in Ordinary Differential Equations, Wiley, 1962．
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