The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations.

ABSTRACT: This work presents the novel Leal-polynomials (LP) for the approximation of nonlinear differential equations of different kind. The main characteristic of LPs is that they satisfy multiple expansion points and its derivatives as a mechanism to replicate behaviour of the nonlinear problem, giving more accuracy within the region of interest. Therefore, the main contribution of this work is that LP satisfies the successive derivatives in some specific points, resulting more accurate polynomials than Taylor expansion does for the same degree of their respective polynomials. Such characteristic makes of LPs a handy and powerful tool to approximate different kind of differential equations including: singular problems, initial condition and boundary-valued problems, equations with discontinuities

SUBMITTER: Vazquez-Leal H 

PROVIDER: S-EPMC7160581 | biostudies-literature | 2020 Apr

REPOSITORIES: biostudies-literature