On the numerical solution of non-linear first order ordinary differential equation systems
arXiv:1712.03552h-index: 5
Originality Synthesis-oriented
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Incremental numerical method for flight mechanics problems.
The paper develops a numerical method for solving first-order ODE systems and applies it to a nonlinear two-point boundary value problem in flight mechanics, claiming robustness and ease of implementation.
In this article, firstly we develop a method for a type of difference equations, applicable to solve approximately a class of first order ordinary differential equation systems. In a second step, we apply the results obtained to solve a non-linear two point boundary value problem relating a flight mechanics model. We highlight the algorithm obtained seems to be robust and of easy computational implementation.