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Papers by ali taghavi

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

Computing Research Repository, 2010

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

Computing Research Repository, 2010

This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approac... more 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 system. This model is a nonlinear integro-differential equation where the integral term represents the effect of toxin. This approach is based on orthogonal functions which will be defined. The collocation method reduces the solution of this problem to the solution of a system of algebraic equations. We also compare these methods with some other numerical results and show that the present approach is applicable for solving nonlinear integro-differential equations.

Research paper thumbnail of Modified generalized Laguerre function Tau method for solving laminar viscous flow : The Blasius equation

International Journal of Numerical Methods for Heat & Fluid Flow, 2010

... Lin (1999) obtained an approximate analytical solution of Blasius equation by the parameter .... more ... Lin (1999) obtained an approximate analytical solution of Blasius equation by the parameter ... Table VII Approximation of f′′(η) for the present method, solutions of Rafael ... Abbasbandy, S. (2007), "A numerical solution of Blasius equation by Adomian's decomposition method ...

Research paper thumbnail of Generalized Laguerre Polynomials Collocation Method for Solving Lane-Emden Equation

Research paper thumbnail of Numerical approximations for population growth model by rational Chebyshev and Hermite functions collocation approach: A comparison

Mathematical Methods in The Applied Sciences, 2010

This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approac... more 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 system. This model is a nonlinear integro-differential equation where the integral term represents the effect of toxin. This approach is based on orthogonal functions which will be defined. The collocation method reduces the solution of this problem to the solution of a system of algebraic equations. We also compare these methods with some other numerical results and show that the present approach is applicable for solving nonlinear integro-differential equations.

Research paper thumbnail of Lagrangian method for solving Lane–Emden type equation arising in astrophysics on semi-infinite domains

Research paper thumbnail of Rational scaled generalized Laguerre function collocation method for solving the Blasius equation

Journal of Computational and Applied Mathematics, 2009

In this paper we propose, a collocation method for solving the Blasius equation. The Blasius equa... more In this paper we propose, a collocation method for solving the Blasius equation. The Blasius equation is a third-order nonlinear ordinary differential equation. This approach is based on a rational scaled generalized Laguerre function collocation method. We also present the comparison of this work with some well-known results and show that the present solution is accurate.

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

Computing Research Repository, 2010

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

Computing Research Repository, 2010

This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approac... more 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 system. This model is a nonlinear integro-differential equation where the integral term represents the effect of toxin. This approach is based on orthogonal functions which will be defined. The collocation method reduces the solution of this problem to the solution of a system of algebraic equations. We also compare these methods with some other numerical results and show that the present approach is applicable for solving nonlinear integro-differential equations.

Research paper thumbnail of Modified generalized Laguerre function Tau method for solving laminar viscous flow : The Blasius equation

International Journal of Numerical Methods for Heat & Fluid Flow, 2010

... Lin (1999) obtained an approximate analytical solution of Blasius equation by the parameter .... more ... Lin (1999) obtained an approximate analytical solution of Blasius equation by the parameter ... Table VII Approximation of f′′(η) for the present method, solutions of Rafael ... Abbasbandy, S. (2007), "A numerical solution of Blasius equation by Adomian's decomposition method ...

Research paper thumbnail of Generalized Laguerre Polynomials Collocation Method for Solving Lane-Emden Equation

Research paper thumbnail of Numerical approximations for population growth model by rational Chebyshev and Hermite functions collocation approach: A comparison

Mathematical Methods in The Applied Sciences, 2010

This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approac... more 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 system. This model is a nonlinear integro-differential equation where the integral term represents the effect of toxin. This approach is based on orthogonal functions which will be defined. The collocation method reduces the solution of this problem to the solution of a system of algebraic equations. We also compare these methods with some other numerical results and show that the present approach is applicable for solving nonlinear integro-differential equations.

Research paper thumbnail of Lagrangian method for solving Lane–Emden type equation arising in astrophysics on semi-infinite domains

Research paper thumbnail of Rational scaled generalized Laguerre function collocation method for solving the Blasius equation

Journal of Computational and Applied Mathematics, 2009

In this paper we propose, a collocation method for solving the Blasius equation. The Blasius equa... more In this paper we propose, a collocation method for solving the Blasius equation. The Blasius equation is a third-order nonlinear ordinary differential equation. This approach is based on a rational scaled generalized Laguerre function collocation method. We also present the comparison of this work with some well-known results and show that the present solution is accurate.

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