Generalizing Homotopy Analysis Method to Solve System of Integral Equations
Abstract
This paper presents the application of the Homotopy Anal-
ysis Method (HAM) and Homotopy Perturbation Method (HPM) for
solving systems of integral equations. HAM and HPM are two ana-
lytical methods to solve linear and nonlinear equations which can be
used to obtain the numerical solution. The HAM contains the auxiliary
parameter h, provide us with a simple way to adjust and control the
convergence region of solution series. The results show that HAM is a
very e±cient method and that HPM is a special case of HAM.
ysis Method (HAM) and Homotopy Perturbation Method (HPM) for
solving systems of integral equations. HAM and HPM are two ana-
lytical methods to solve linear and nonlinear equations which can be
used to obtain the numerical solution. The HAM contains the auxiliary
parameter h, provide us with a simple way to adjust and control the
convergence region of solution series. The results show that HAM is a
very e±cient method and that HPM is a special case of HAM.
Refbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 3.0 License.