A desktop application built with C# and Windows Forms that numerically solves first-order ordinary differential equations (ODEs) using the Runge-Kutta methods (RK1, RK2, and RK4). The application ...
Journal of Computational Mathematics, Vol. 19, No. 3 (May 2001), pp. 259-268 (10 pages) This paper is concerned with the numerical solution of delay differential ...
The purpose of this study is the design of efficient methods for the solution of an ordinary differential system of equations arising from the semidiscretization of a hyperbolic partial differential ...
The Bi-Section method finds roots of non-linear equations using interval bisection. Initial Range Calculation: Determines an initial maximum range ((-|xmax|, |xmax|)) for root existence. Calculation ...
Abstract: In this paper, we develop a new nearly analytic symplectically partitioned Runge–Kutta (NSPRK) method for numerically solving elastic wave equations. In this method, we first transform the ...
Abstract: In the present paper, we analyse the geometric properties of projected Runge–Kutta methods for the solution of index 3 differential–algebraic equations in the Hessenberg form. We show that ...
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 ...
ABSTRACT: An L-stable block method based on hybrid second derivative algorithm (BHSDA) is provided by a continuous second derivative method that is defined for all values of the independent variable ...
ABSTRACT: The kinetic electron trapping process in a shallow defect state and its subsequent thermal- or photo-stimulated promotion to a conduction band, followed by recombination in another defect, ...
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