Open AccessSemi-analytic Solution of the Nonlinear Advection Problem using Homotopy Perturbation Method
Author(s) -
N. Chinwe
Publication year - 2022
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.8222.305312
Subject(s) - homotopy analysis method , homotopy perturbation method , nonlinear system , mathematics , poincaré–lindstedt method , advection , partial differential equation , perturbation (astronomy) , boundary value problem , mathematical analysis , homotopy , physics , singular perturbation , pure mathematics , quantum mechanics , thermodynamics
This paper focuses on finding the solution of some nonlinear partial differential equations with initial and boundary conditions. This is achieved using the homotopy perturbation method. The solutions obtained are said to be analytic approximate in nature. The applications basically are on inhomogeneous partial differential equations.