Abstract
In this research project paper, our main aim is to solve linear and non-linear di_erential
equations by perturbation methods. This study include the following aspects:
(1) Give some basic concepts of the regular, singular and homotopy perturbation method.
(2) Use the regular, singular and homotopy perturbation method to solve ordinary di_erential
equations and partial di_erential equations.
(3) Describe the interesting concept of shallow water waves and derive the Korteweg-de
Vries equation.
(4) Use homotopy perturbation method to solve the Korteweg-de Vries equation
Publisher
School of Mathematics, University of Nairobi
Description
Master Project in Mathematics