Variational Interpolation of Solutions of Fractional Differential Equations

被引：1
|
作者：
Litvinov, V. A. [1 ]
机构：
[1] Minist Internal Affairs Russia, Barnaul Law Inst, Barnaul, Russia
来源：
RUSSIAN PHYSICS JOURNAL | 2018年 / 61卷 / 08期
关键词：
fractional derivatives; numerical methods; variational interpolation;
D O I：
10.1007/s11182-018-1549-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Objects of research are fractional order differential equations of mathematical physics, and subject of research is the application of the variational interpolation method for solving such equations. The procedure of variational interpolation is stated, and its application to a solution of the simplest fractional order differential equations is demonstrated. It is shown that the approximate solutions constructed on two basic solutions of integer order equations have an error less than 10% for variables changing in a wide range, and in certain cases coincide with exact solutions.
引用
收藏
页码：1410 / 1417
页数：8
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