2,801 research outputs found
A new approach for solving nonlinear Thomas-Fermi equation based on fractional order of rational Bessel functions
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 singularity at and its boundary condition
occurs at infinity, have been introduced. We solve the problem on semi-infinite
domain without any domain truncation or transformation of the domain of the
problem to a finite domain. This approach at first, obtains a sequence of
linear differential equations by using the quasilinearization method (QLM),
then at each iteration solves it by FRBC method. To illustrate the reliability
of this work, we compare the numerical results of the present method with some
well-known results in other to show that the new method is accurate, efficient
and applicable
A Modified Taylor Series Expansion Method for the Second Order Linear Volterra Integro-Differential Equation
In this paper, we used a modified Taylor series expansion method for approximating the solutions of linear second order Volterra Integro-Differential Equation (VIDE). This method transforms the equation to linear system equations that can be solved easily with computer programing. Finally, we showed the efficiency of this method with numerical examples by comparing the approximate solutions with exact solutions
On The Numerical Solution of Linear Fredholm-Volterra Ä°ntegro Differential Difference Equations With Piecewise Ä°ntervals
The numerical solution of a mixed linear integro delay differential-difference equation with piecewise interval is presented using the Chebyshev collocation method. The aim of this article is to present an efficient numerical procedure for solving a mixed linear integro delay differential difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms a mixed linear integro delay differential-difference equations and the given conditions into a matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system Maple 10
- …