Add to ORKGIn this paper, we have developed a new class of 2-step rational multistep methods (RMMs) in second to fifth order of accuracy. We have presented the developments of these RMMs, as well as the local truncation error and stability analysis for each RMM that we have developed. Numerical experiments have shown that all RMMs presented in this paper are suitable to solve initial value problem of various dimensions and also stiff problems
Abstract: A multistep method with matricial coefficients is developed. It can be used to solve stiff...
In this paper, we present a class of hybrid multistep methods for the numerical solution of first-...
AbstractA multistep method with matricial coefficients is developed. It can be used to solve stiff i...
In this paper, we have developed a new class of 2-step rational multistep methods (RMMs) in second t...
There exists initial value problem whose solution possesses singularity. Studies show that conventio...
Numerical methods that are based on rational functions or better known as rational methods were disc...
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. ...
AbstractFirst, second and third order explicit nonlinear one-step methods are proposed for singular ...
In this paper,a 2-point explicit rational block method for the numerical solution of first order ini...
A new three and five step block linear methods based on the Adams family for the direct solution of ...
AbstractWe investigate rational multistep methods of both osculatory and Adams type for solving sing...
AbstractSome k-step kth order explicit nonlinear multistep methods (NMM) are proposed for both stiff...
While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta ...
AbstractThe aim of this paper is to select from the large family of possible general linear methods,...
Abstract: A multistep method with matricial coefficients is developed. It can be used to solve stiff...
In this paper, we present a class of hybrid multistep methods for the numerical solution of first-...
AbstractA multistep method with matricial coefficients is developed. It can be used to solve stiff i...
In this paper, we have developed a new class of 2-step rational multistep methods (RMMs) in second t...
There exists initial value problem whose solution possesses singularity. Studies show that conventio...
Numerical methods that are based on rational functions or better known as rational methods were disc...
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. ...
AbstractFirst, second and third order explicit nonlinear one-step methods are proposed for singular ...
In this paper,a 2-point explicit rational block method for the numerical solution of first order ini...
A new three and five step block linear methods based on the Adams family for the direct solution of ...
AbstractWe investigate rational multistep methods of both osculatory and Adams type for solving sing...
AbstractSome k-step kth order explicit nonlinear multistep methods (NMM) are proposed for both stiff...
While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta ...
AbstractThe aim of this paper is to select from the large family of possible general linear methods,...
Abstract: A multistep method with matricial coefficients is developed. It can be used to solve stiff...
In this paper, we present a class of hybrid multistep methods for the numerical solution of first-...
AbstractA multistep method with matricial coefficients is developed. It can be used to solve stiff i...