An analytical technique for nonlinear oscillators based on the higher order odd polynomial functions
Year: 2025
Type: article
Abstract: An analytical technique based on the certain odd polynomial functions is introduced for solving nonlinear oscillatory problems, applicable to both autonomous and non-autonomous cases. A set of algebraic equations are found when the proposed technique is applied. The algebraic equations are linear and relatively straightforward for determining the unknown coefficients associated with the solution. An excellent agreement is found between approximated and numerical solutions, which prove that the technique is very efficient and easy to implement. The technique allows to obtain any desired order of approximate solutions. The results are shown in figures.
Institution: Rajshahi University of Engineering and Technology
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,500
OpenAlex ID: W4416557302