An approximate numerical method for ordinary differential equation systems with applications to a flight mechanics model

TL;DR

This paper introduces a new approximate numerical method for solving large classes of ordinary differential equation systems, demonstrating its application to a flight mechanics model.

Contribution

It develops a novel numerical procedure inspired by the generalized method of lines, extending its applicability to physics and engineering models.

Findings

Effective for large ODE systems in physics and engineering

Successfully applied to a flight mechanics model

Provides an alternative to existing numerical methods

Abstract

This short communication develops a new numerical procedure suitable for a large class of ordinary differential equation systems found in models in physics and engineering. The main numerical procedure is analogous to those concerning the generalized method of lines, originally published in the here referenced books of 2011 and 2014, [3,5], respectively. Finally, in the last section, we apply the method to a model in flight mechanics.