Approximate Solution of Nonlinear Differential Equations with the Help of Rational Spline Functions

被引：0
|
作者：
Magomedova, V. G. [1 ]
Ramazanov, A-R K. [1 ,2 ]
机构：
[1] Dagestan State Univ, Makhachkala 367000, Dagestan, Russia
[2] Russian Acad Sci, Dagestan Sci Ctr, Makhachkala 367032, Dagestan, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2021年 / 61卷 / 08期
关键词：
rational spline functions; interpolation spline functions; approximate solution of differential equations;
D O I：
10.1134/S0965542521080042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A method for constructing an approximate solution in the form of a rational spline function is proposed for initial value problems in the case of first- and second-order differential equations solvable for the highest derivative. A spline function of this type is constructed via the transition to a system of scalar equations that is reduced to solving at most one nonlinear equation with one unknown and to making sequential substitutions of previously determined values.
引用
收藏
页码：1252 / 1259
页数：8
相关论文
共 50 条
12345