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

How to Cite

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

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

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

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