This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations ...
Oct 24, 2022 · This paper investigates, a new class of fractional order Runge-Kutta (FORK) methods for numerical approximation to the solution of fractional differential ...
Mar 3, 2023 · Abstract. This paper investigates, a new class of fractional order Runge-Kutta. (FORK) methods for numerical approximation to the solution ...
Mar 8, 2023 · This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations ...
In this paper, we relax the time step condition by applying fractional step (or operator splitting) methods based on Runge-Kutta methods. Typically, fractional ...
Jun 10, 2020 · In this paper, the fractional Euler method has been studied, and the derivation of the novel 2-stage fractional Runge–Kutta (FRK) method has been presented.
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The main aim of this paper is to present the derivation, stability analysis, and implementation of a 3stage fractional Runge-Kutta method (3sFRKM). This method ...
Mar 1, 2023 · When Runge–Kutta methods are used as the sub-integrators for each fractional step, the result is a fractional step Runge–Kutta (FSRK) method ...
Feb 13, 2023 · The main aim of this paper is to present the derivation, stability analysis, and implementation of a 3-stage fractional Runge-Kutta method ...