Showing 2 results for Babolian
Esmaeil Babolian, Ar Vahidi,
Volume 11, Issue 2 (2-2011)
Abstract
In this paper, we conduct a comparative study between the homotopy perturbation method (HPM) and Adomian’s decomposition method (ADM) for analytic treatment of nonlinear Volterra integral equations, and we show that the HPM with a specific convex homotopy is equivalent to the ADM for these type of equations.
S Bazm, Esmaeil Babolian,
Volume 11, Issue 2 (2-2011)
Abstract
In this paper, we use operational matrices of piecewise constant orthog-
onal functions on the interval [0,1] to solve fractional differential , integral
and integro-differential equations without solving any system. We first ob-
tain Laplace transform of the problem and then we find numerical inversion
of Laplace transform by operational matrices. Numerical examples show
that the approximate solutions have a good degree of accuracy.
