Indian Journal of Science and Technology

Abstract

Objectives: An approximate solution of the problem of two-dimensional projectile motion with linear and quadratic air resistance obtained using the Laplace decomposition method LDM. Methods/Statistical Analysis: In this study, we examined the Laplace Decomposition Method for obtaining a solution of the trajectory problem of a body in linear and quadratic resistant medium. Findings: The solutions are obtained by using developed technique that combine Laplace Transform and the Adomian Decomposition Method ADM. The all obtained solutions are plotted to compare the effect of the nonlinear term on the basic parameters like range and maximum high and other parameters. Application/Improvements: The Laplace Decomposition Method improves the results to achieve more precision results compared to the previous related works.

Keywords: Application, Laplace Decomposition Method, Nonlinear Equations, Projectile Motion, Resistive Term