Numerical Methods for Boundary Value Problems in Variable Coefficient Ordinary Differential Equations

ZHAO Ting-ting, CAI Wei-yun

doi:10.13371/j.cnki.chin.q.j.m.2025.03.005

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 3: 295 - 303

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.03.005

Numerical Methods for Boundary Value Problems in Variable Coefficient Ordinary Differential Equations

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School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China

ZHAO Ting-ting (1998- ), female, native of Luoyang, Henan, master student of Henan University of Science and Technology, mainly engages in research on numerical solutions of differential equations; CAI Wei-yun (1982-), female, native of Xingyang, Henan, lecturer of Henan University of Science and Technology, mainly engages in computational mathematics.

ZHAO Ting-ting (1998- ), female, native of Luoyang, Henan, master student of Henan University of Science and Technology, mainly engages in research on numerical solutions of differential equations

Received date: 2025-07-16

Online published: 2025-09-30

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Abstract

In order to solve the problem of the variable coefficient ordinary differential equation on the bounded domain, the Lagrange interpolation method is used to approximate the exact solution of the equation, and the error between the numerical solution and the exact solution is obtained, and then compared with the error formed by the difference method, it is concluded that the Lagrange interpolation method is more effective in solving the variable coefficient ordinary differential equation.

Key words： Variable coefficient ordinary differential equations; Lagrange interpolation; ; Difference methods

Cite this article

ZHAO Ting-ting, CAI Wei-yun . Numerical Methods for Boundary Value Problems in Variable Coefficient Ordinary Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(3) : 295 -303 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.03.005

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