Análise numérica: método de diferenças finitas aplicadas em problemas de contorno com implementação das soluções no python

Abstract

Numerical methods are almost as old as human civilization, In this paper we will describe and use the finite difference method, applied to in boundary problems. Using a suitable approximation for the first and second order derivatives, we will second-order derivatives, we will apply it to second-order boundary problems in order to determine the solution, as well as demonstrating the efficiency of the method, which allows us to determine the solution to some problems that we can't find analytically by any method. analytical solution. We will use the Phyton tool to generate the continuous and discrete graphs of the problem in order to compare and analyze the approximation errors. errors.