The Function Number Method: Basis and Applications

Marcel Julmard Ongoumaka Yandza^1,

¹Department of Physics, Mathematics and Engineering, Marien Ngouabi University, Republic of Congo

Cite this paper:
Marcel Julmard Ongoumaka Yandza. The Function Number Method: Basis and Applications. American Journal of Applied Mathematics and Statistics. 2023; 11(2):50-60. doi: 10.12691/ajams-11-2-2

Abstract

In this paper, we present a new method to solve some mathematics problems such as integral calculus, derivative calculus and differential equations. The method consists to transform an analytic problem or function to a real number. This real number obtained represents the Function Number. After finding the Function Number solution, it is also possible to transform it to a semi-analytic function which represents the definitive solution of the problem. We qualify the solution as semi-analytic solution because to solve the problem, we make some approximations. So, the semi-analytic function obtained is an approximate analytic solution. This method is simple and concise. It gives strong approximate solutions near to the real solutions.

Keywords:
function number method differential equation approximation

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