most citedAn approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method

245 citations · 412 across the 5 of their papers we have counts for

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5 papers

math-ph2010★ 42 cited

Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium

K. Parand, S. Abbasbandy, S. Kazem +1

In this paper two common collocation approaches based on radial basis functions have been considered; one be computed through the integration process (IRBF) and one be computed thr…

math-ph2010★ 35 cited

Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison

K. Parand, A. R. Rezaei, A. Taghavi

This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra's model for population growth of a species within a closed…

math-ph2010★ 37 cited

An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method

K. Parand, A. R. Rezaei, S. M. Ghaderi

Based on a new approximation method, namely pseudospectral method, a solution for the three order nonlinear ordinary differential laminar boundary layer Falkner-Skan equation has b…

math-ph2010★ 53 cited

Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains

K. Parand, A. R. Rezaei, A. Taghavi

In this paper we propose a Lagrangian method for solving Lane-Emden equation which is a nonlinear ordinary differential equation on semi-infinite interval. This approach is based o…

math-ph2010★ 245 cited

An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method

K. Parand, Mehdi Dehghan, A. R. Rezaei +1

In this paper we propose a collocation method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infin…