| 关于一类求解非线性Volterra型微分一积分方程的显式求积算法及其外推算法 |
| |
| 引用本文： | 陶辅周,纪希禹. 关于一类求解非线性Volterra型微分一积分方程的显式求积算法及其外推算法[J]. 四川大学学报(自然科学版), 1991, 0(3) |
| |
| 作者姓名： | 陶辅周 纪希禹 |
| |
| 作者单位： | 四川大学数学系(陶辅周)，四川大学数学系(纪希禹) |
| |
| 摘 要： | 对一阶非线性Volterra型积分微分方程进行数值处理,利用插值思想构造了解此类方程的显式求积算法及其外推算法.具有结构简单,精确度较高等优点.讨论了算法的收敛性,最后给出了数值例子.
|
| 关 键 词： | 非线性 Volterra型积分微分方程 求积算法 外推算法 误差 渐近展开式 |
A CLASS OF EXPLICIT QUADRATURE METHODS AND THEIREXTRAPOLATION METHODS FOR THE NUMERICAL SOLUTIONOF NON-LINEAR INTEGRO-DIFFERENTIAL EQUATIONS |
| |
| Tao Fuzhou Ji Xiyu. A CLASS OF EXPLICIT QUADRATURE METHODS AND THEIREXTRAPOLATION METHODS FOR THE NUMERICAL SOLUTIONOF NON-LINEAR INTEGRO-DIFFERENTIAL EQUATIONS[J]. Journal of Sichuan University (Natural Science Edition), 1991, 0(3) |
| |
| Authors: | Tao Fuzhou Ji Xiyu |
| |
| Affiliation: | Department of mathematics |
| |
| Abstract: | In this paper, we consider the numerical treatment of nonlinear Volterra integro-differential equations, which discussed in[1] with iteration, and supply explicit quadrature methods and their extrapolation methods. The methods are simpler than in[1], and the results we get can be improved upon. The convergence of the methods are proved and numerical results are presented. |
| |
| Keywords: | nonlinear Volterra integro-differential equation quadrature method extrapolation method error asymptotic expansion formula. |
| 本文献已被 CNKI 等数据库收录！ |
