@Article{AAMM-4-1,
author = {Matinfar, M. and Saeidy, M. and Vahidi, J.},
title = {Application of Homotopy Analysis Method for Solving Systems of Volterra Integral Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {1},
pages = {36--45},
abstract = {<p style="text-align: justify;">In this paper, we prove the convergence of homotopy analysis method (HAM).
We also apply the homotopy analysis method to obtain approximate
analytical solutions of systems of the second kind Volterra integral equations. 
The HAM solutions contain an auxiliary parameter 
which provides a convenient way of controlling the convergence region
of series solutions. It is shown that the solutions obtained by &nbsp;the
homotopy-perturbation method (HPM) are only special cases of the HAM
solutions. Several examples are given to illustrate
the efficiency and implementation of the method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m1143},
url = {https://global-sci.com/article/73528/application-of-homotopy-analysis-method-for-solving-systems-of-volterra-integral-equations}
}