On a Simple Unifying Method for Higher Order Polynomial Decomposition

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.

Authors

Publication Details

Journal
Semarak International Journal of Fundamental and Applied Mathematics
Published
2024-12-15
DOI
https://doi.org/10.37934/sijfam.4.1.116
Primary Topic
Numerical methods for differential equations
Type
article
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article

On a Simple Unifying Method for Higher Order Polynomial Decomposition

Gunawan Nugroho, R. Arief Budiman
Semarak International Journal of Fundamental and Applied Mathematics
Numerical methods for differential equations
article

On a Simple Unifying Method for Higher Order Polynomial Decomposition

Gunawan Nugroho, R. Arief Budiman
article en

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.

Semarak International Journal of Fundamental and Applied MathematicsVol. 4(1)
Openalex Percentile: Top 59%
Numerical methods for differential equations
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On a Simple Unifying Method for Higher Order Polynomial Decomposition — Gunawan Nugroho, R. Arief Budiman · Semarak International Journal of Fundamental and Applied Mathematics (2024) | TGRS Research Map | TGRS