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math.NA2019
On the generalized method of lines and its proximal explicit and hyper-finite difference approaches
Fabio Botelho
This article firstly develops a proximal explicit approach for the generalized method of lines. In such a method, the domain of the PDE in question is discretized in lines and the…
math.NA2017
On the numerical solution of non-linear first order ordinary differential equation systems
Fabio Botelho
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…