3 papers
math.NA2017
Two efficient computational algorithms to solve the singularly perturbed Lane-Emden problem
Kourosh Parand, Amin Ghaderi
In this paper, we decide to compare two new approaches based on Rational and Exponential Bessel functions (RBs and EBs) to solve several well-known class of Lane-Emden type models.…
math.NA2017
A matrix formulation of the Tau method for the numerical solution of non-linear problems
Kourosh Parand, Amin Ghaderi, Mehdi Delkhosh +1
The purpose of this research is to propose a new approach named the shifted Bessel Tau (SBT) method for solving higher-order ordinary differential equations (ODE). The operational…
math.NA2016
A new approach for solving nonlinear Thomas-Fermi equation based on fractional order of rational Bessel functions
K. Parand, A. Ghaderi, M. Delkhosh +1
In this paper, the fractional order of rational Bessel functions collocation method (FRBC) to solve Thomas-Fermi equation which is defined in the semi-infinite domain and has singu…