Numerical approach of two-derivative Runge-Kutta type method with three-stage fifth-order
(TDRKT3 (5)) is developed and proposed for solving a special type of third-order delay …

The derivation of 5th order diagonal implicit type Runge Kutta methods (DITRKM5) for
solving 3rd special order ordinary differential equations (ODEs) is introduced in the present …

A class of explicit Runge–Kutta type methods with the involvement of fourth derivative,
denoted as two-derivative Runge–Kutta type (TDRKT) methods, are proposed and …

The four-point block hybrid collocation method is proposed to solve general third order
ordinary differential equations directly. The main and additional methods are generated via …

Runge-Kutta Method (EDITRKM) for solving 3rd special order ordinary differential equations
(ODEs) is introduced in the current study. The EDITRKM techniques are the name of the …

In this paper, we construct a four‐stage explicit improved Runge–Kutta direct (IRKD) method
of order six for solving special third‐order ordinary differential equations. The sixth‐order …

In this study, a five-stage fourth-order Runge-Kutta type method for directly solving general
third-order ordinary differential equations (ODEs) of the form y′′′= f (x, y, y′, y′′) …

Improved Runge-Kutta direct method with fourth derivative for solving y = f(x,y) Page 1 Malaya
Journal of Matematik, Vol. 9, No. 1, 864-869, 2021 https://doi.org/10.26637/MJM0901/0152 …

In science and engineering, differential equations are very important mathematical models,
as most physical systems whose state variables vary with time or space are described using …