Add to ORKGIn this research paper we present analysis of the derivative free rational one step scheme for solving initial value problems (IVPs) of first order Ordinary differential Equations (ODEs). The scheme is consistent and stability property resembles of the trapezoidal method, which is A-stable. This method has been applied to problems with singularities and the one which are considered to be stiff. Numerical results show that the scheme is suitable for solving both stiff problems and the one whose solutions possess singularities
We give a necessary and sufficient condition for an alge-braic ODE to have a rational type general s...
We give a necessary and sufficient condition for an alge-braic ODE to have a rational type general s...
This paper describes a new nonlinear backward differentiation schemes for the numerical solution of ...
While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta ...
In this study, two classes of rational methods of second to fourth order of accuracy are proposed. ...
In this study, two classes of rational methods of second to fourth order of accuracy are proposed. ...
AbstractThis paper deals with the stability analysis of one-step methods for the numerical solution ...
AbstractFirst, second and third order explicit nonlinear one-step methods are proposed for singular ...
There exists initial value problem whose solution possesses singularity. Studies show that conventio...
AbstractIn this paper we designed Rational Interpolation Method for solving Ordinary Differential Eq...
A method of order six is proposed for solving singular initial value problems in ordinary differenti...
summary:In this paper, a class of A($\alpha $)-stable linear multistep formulas for stiff initial va...
Compared with standard numerical methods for initial value problems (IVPs) for ordinary differential...
summary:In this paper, a class of A($\alpha $)-stable linear multistep formulas for stiff initial va...
summary:In this paper, a class of A($\alpha $)-stable linear multistep formulas for stiff initial va...
We give a necessary and sufficient condition for an alge-braic ODE to have a rational type general s...
We give a necessary and sufficient condition for an alge-braic ODE to have a rational type general s...
This paper describes a new nonlinear backward differentiation schemes for the numerical solution of ...
While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta ...
In this study, two classes of rational methods of second to fourth order of accuracy are proposed. ...
In this study, two classes of rational methods of second to fourth order of accuracy are proposed. ...
AbstractThis paper deals with the stability analysis of one-step methods for the numerical solution ...
AbstractFirst, second and third order explicit nonlinear one-step methods are proposed for singular ...
There exists initial value problem whose solution possesses singularity. Studies show that conventio...
AbstractIn this paper we designed Rational Interpolation Method for solving Ordinary Differential Eq...
A method of order six is proposed for solving singular initial value problems in ordinary differenti...
summary:In this paper, a class of A($\alpha $)-stable linear multistep formulas for stiff initial va...
Compared with standard numerical methods for initial value problems (IVPs) for ordinary differential...
summary:In this paper, a class of A($\alpha $)-stable linear multistep formulas for stiff initial va...
summary:In this paper, a class of A($\alpha $)-stable linear multistep formulas for stiff initial va...
We give a necessary and sufficient condition for an alge-braic ODE to have a rational type general s...
We give a necessary and sufficient condition for an alge-braic ODE to have a rational type general s...
This paper describes a new nonlinear backward differentiation schemes for the numerical solution of ...