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

Authors

  • Apichat Neamvonk Burapha University
  • Boonyong Sriponpaew Burapha University

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4727

Keywords:

Numerical analysis, Initial Value Problem, Newton’s Interpolation Formula, Lagrange

Abstract

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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Published

2023-04-30

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Solving the First Order Differential Equations using Newton’s Interpolation and Lagrange Polynomial. (2023). European Journal of Pure and Applied Mathematics, 16(2), 965-974. https://doi.org/10.29020/nybg.ejpam.v16i2.4727