title: The convergence study of the homotopy analysis method for solving nonlinear Volterra-Fredholm integrodifferential equations.
abstract: We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special nonlinear Volterra-Fredholm integrodifferential equations. The sufficient condition for the convergence of the method is briefly addressed. Some illustrative examples are also presented to demonstrate the validity and applicability of the technique. Comparison of the obtained results HAM with exact solution shows that the method is reliable and capable of providing analytic treatment for solving such equations.
authors.affiliation: Department of Basic Sciences, Kermanshah University of Technology, P.O. Box 63766-67178, Kermanshah, Iran.
authors.forename: Behzad
authors.identifier: 0000-0003-0158-168X
authors.initials: B
authors.lastname: Ghanbari
mesh_terms: D015233:Models, Statistical; D015203:Reproducibility of Results