Application of the SOME Blaise Abbo (SBA) Method

In recent years, several methods have been developed in the search for the approximate and exact solution of the differential, integral and integro-differential equations of various types, linear and nonlinear. Among these methods, one cite : the Adomian decompsition method (ADM), the Homotopy perturbation method (HPM), Variation iteration method (VIM) e.t.c. In this work, we present the SOME Blaise Abbo (SBA) method, which is still unknown. The SBA method is based on the Adomian method, the method of the successive approximations and the Picard's principle. The SBA method is effective to resolve the nonlinear differential, integral and integro-differential equations, it avoids us the calculation of the Adomian polynomials.

Autorentext

Professor Gabriel BISSANGA is of Congolese nationality, holds a Ph.D in fluids mechanics and master of science in game theory. He was teacher-researcher in mathematics at the faculty of sciences and techniques of the Marien Ngouabi university of Brazzaville, in the Republic of Congo, from 1982 to 2019.