The Novel Integral Homotopy Expansive Method

• DOI: 10.3390/math9111204
• Publication Date: 2021-05-27T01:56:44Z
• Authors: Uriel Filobello-Nino; Hector Vazquez-Leal; Jesus Huerta-Chua; Jaime Ramirez-Angulo; Darwin Mayorga-Cruz; Rogelio Alejandro...
• Keywords: Homotopy Analysis Method; Expansive

This work proposes the Integral Homotopy Expansive Method (IHEM) in order to find both analytical approximate and exact solutions for linear nonlinear differential equations. The proposal consists of providing a versatile method able provide expressions that adequately describe scientific phenomena considered. In this analysis, it is observed proposed are compact easy evaluate, which ideal practical applications. expresses equation as an integral integrand terms homotopy. As matter fact, IHEM will take advantage homotopy flexibility introduce adjusting parameters convenient functions with purpose acquiring better results. sequence, another chance distribute one or more initial conditions different iterations method. scheme employed some additional accurate solutions.