The problem of the region of stability of the fourth order-Runge-Kutta method for the solution of systems of differential equations is studied. This region can be characterized by means of linear ...

YASK--Yet Another Stencil Kit: a domain-specific language and framework to create high-performance stencil code for implementing finite-difference methods and similar applications.

"- I want to implement and illustrate the [Runge-Kutta method](https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods) (actually, different variants), in the ...

Department on Applied Mathematics, Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, Salamanca, Spain These types of problems are very common in a large amount of ...

ABSTRACT: In this paper, we propose two new explicit Almost Runge-Kutta (ARK) methods, ARK3 (a three stage third order method, i.e., s = p = 3) and ARK34 (a four-stage third-order method, i.e., s = 4, ...

1 Department of Mathematics, Lagos State University, Lagos, Nigeria. 2 Department of Mathematics, Federal College of Education (Technical), Lagos, Nigeria. During the last few decades, there has been ...

Abstract: Because the implicit Runge-Kutta method is hard to use, in addition, there is the lack of precision analysis for the implicit Runge-Kutta methods, three classic four-stage implicit ...

Abstract: In this paper, we use homotopy method to transfer nonlinear equations to a differential equations, then we apply four-order Runge-Kutta method to solve the differential equations for getting ...