On a Simple Unifying Method for Higher Order Polynomial Decomposition

Authors

  • Gunawan Nugroho Department of Engineering Physics, Institut Teknologi Sepuluh Nopember, Kampus ITS Sukolilo 60111, Indonesia
  • Roes Arief Budiman Department of Mechanical and Manufacturing Engineering, University of Calgary, 2500 University Dr NW, Canada

DOI:

https://doi.org/10.37934/sijfam.4.1.116

Keywords:

Higher order polynomial, Decomposition method, Radical solution, Simplest equations

Abstract

The simple and unified method of higher order polynomial decomposition is proposed in this paper. The method increases the n-order polynomial into n+1-order and then divides the equation by second order polynomial with arbitrary coefficients. Some examples are given in order to demonstrate its simplicity and applicability for generating solution of nonlinear ODE. The main result is then concluded as a theorem.

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Author Biographies

Gunawan Nugroho, Department of Engineering Physics, Institut Teknologi Sepuluh Nopember, Kampus ITS Sukolilo 60111, Indonesia

gunawan@ep.its.ac.id

Roes Arief Budiman, Department of Mechanical and Manufacturing Engineering, University of Calgary, 2500 University Dr NW, Canada

rbudiman@ucalgary.ca

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Published

2024-12-15

How to Cite

Nugroho, G., & Budiman, R. A. (2024). On a Simple Unifying Method for Higher Order Polynomial Decomposition. Semarak International Journal of Fundamental and Applied Mathematics, 4(1), 1–16. https://doi.org/10.37934/sijfam.4.1.116

Issue

Vol. 4 No. 1: December (2024)

Section

Articles