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math.NA2025
The Mean Value Theorem: Analytical Proof and Computational Approaches
Márcio Matheus de Lima Barboza, Francisco Márcio Barboza
In this paper, we explore two fundamental theorems of differential calculus: Rolle's Theorem and the Mean Value Theorem (MVT). These theorems play a crucial role in the development…
math.NA2024★ 1 cited
Newton's Method Applied to Nonlinear Boundary Value Problems: A Numerical Approach
Rusdrael Antony de Araújo Freire, Francisco Márcio Barboza, Márcio Matheus de Lima Barboza
This work investigates the application of the Newton's method for the numerical solution of a nonlinear boundary value problem formulated through an ordinary differential equation…