Hybrid Methods for Solving Nonlinear ODE of the First Order

被引：0

作者：

Ibrahimov, Vagif ^{[1
]}

Imanova, Mehriban ^{[1
]}

机构：

[1] Baku State Univ, Dept Computat Math, Baki, Azerbaijan

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷

关键词：

multistep methods; initial value problem; second derivative; numerical solutions;

D O I：

10.1063/1.4913102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There is a wide range of numerical methods for solving differential equations. Each method has advantages and disadvantages. Criteria to evaluate these methods include stability, highest degree, an extended stability region, simple structure, etc. Our numerical solution for ordinary differential equations, the second derivative hybrid method, is constructed from concrete methods of degree p <= 10. We illustrate our results with specific examples and compare the method constructed here with previously known methods.

引用

页数：5

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