Using hermite function for solving thomas-fermi equation

F Bayatbabolghani, K Parand - arXiv preprint arXiv:1604.01454, 2016 - arxiv.org
In this paper, we propose Hermite collocation method for solving Thomas-Fermi equation
that is nonlinear ordinary differential equation on semi-infinite interval. This method reduces …

[PDF][PDF] Comparison between rational Gegenbauer and modified generalized Laguerre functions collocation methods for solving the case of heat transfer equations …

K Parand, F Baharifard, BF BAYAT - 2012 - sid.ir
In this paper, we provide the COLLOCATION METHOD for natural convection heat transfer
equations embedded in porous medium which are of great importance in the design of …

[PDF][PDF] Comparison between Hermite and Sinc collocation methods for solving steady flow of a third grade fluid in a porous half space

FB Babolghani, K Parand - Proceedings of the international …, 2013 - world-comp.org
In this paper, we provide a collocation method for the problem of steady flow of a third grade
fluid in a porous half space. This problem is a nonlinear, two-point boundary value problem …

A Comparison Between Laguerre, Hermite, and Sinc Orthogonal Functions

F Bayatbabolghani, K Parand - arXiv preprint arXiv:1709.10352, 2017 - arxiv.org
A series of problems in different fields such as physics and chemistry are modeled by
differential equations. Differential equations are divided into partial differential equations …

[引用][C] Comparison theorem with modified Gauss-Seidel and modified Jacobi methods by M-matrix

T Allahviranloo, RG Moghaddam, M Afshar - Journal of Interpolation and …, 2012