Solving the First Order Differential Equations using Newton's Interpolation and Lagrange Polynomial

被引：0
|
作者：
Neamvonk, Apichat [1 ]
Sriponpaew, Boonyong [1 ]
机构：
[1] Burapha Univ, Fac Sci, Dept Math, Chon Buri, Thailand
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 16卷 / 02期
关键词：
Numerical method; Initial value problems; Newton's interpolation; Lagrange polynomial;
D O I：
10.29020/nybg.ejpam.v16i2.4727
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use both Newton's interpolation and Lagrange polynomial to create cubic polynomials for solving the initial value problems. By this new method, it is simple to solve linear and nonlinear first order ordinary differential equations and to yield and implement actual precise results. Some numerical examples are provided to test the performance and illustrate the efficiency of the method.
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页码：965 / 974
页数：10
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