Open AccessResolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method
Author(s) -
Youssouf Paré,
Minoungou Youssouf,
Abdoul wassiha Nebie
Publication year - 2019
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v12i3.3430
Subject(s) - mathematics , laplace transform , adomian decomposition method , cauchy problem , mathematical analysis , nonlinear system , cauchy distribution , initial value problem , laplace transform applied to differential equations , laplace's equation , type (biology) , decomposition , partial differential equation , ecology , physics , quantum mechanics , biology
In this paper, we propose the solution of a few non linear partial di¤erential equa-tions modelling di¤usion, convection and reaction problems Cauchy type. The Laplace SBA method based on combination of Laplace’s transform, Adomian Decomposition Method(ADM), Picard prnciple and successive approximations is used for solving these equations.