Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Firas A. Fawzi"'
Autor:
Firas A. Fawzi, Nour W. Jaleel
Publikováno v:
Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 36, Iss 1, Pp 389-399 (2023)
This paper derives the EDITRK4 technique, which is an exponentially fitted diagonally implicit RK method for solving ODEs . This approach is intended to integrate exactly initial value problems (IVPs), their solutions consist of linear combinations o
Externí odkaz:
https://doaj.org/article/6eb5d050439a41d1a45ce865ee389091
Autor:
Firas A. Fawzi, Mustafa H. Jumaa
Publikováno v:
Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 35, Iss 1, Pp 92-101 (2022)
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 study. The DITRKM5 techniques are the name of the approach. This approa
Externí odkaz:
https://doaj.org/article/069aaf76a7464d758da2cff24b312d1e
Publikováno v:
Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 33, Iss 2 (2020)
An Alternating Directions Implicit method is presented to solve the homogeneous heat diffusion equation when the governing equation is a bi-harmonic equation (X) based on Alternative Direction Implicit (ADI). Numerical results are compared with other
Externí odkaz:
https://doaj.org/article/18689b827131430bbda28846a40725c5
Publikováno v:
Tikrit Journal of Pure Science. 27:85-91
The derivation of the Embedded pair Diagonally Implicit Type 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 approach. Th
Autor:
Firas. A. Fawzi
Publikováno v:
Iraqi Journal of Science. :3889-3901
This paper presents an alternative method for developing effective embedded optimized Runge-Kutta (RK) algorithms to solve oscillatory problems numerically. The embedded scheme approach has algebraic orders of 5 and 4. By transforming second-order or
Publikováno v:
Symmetry, Vol 11, Iss 2, p 246 (2019)
The primary contribution of this work is to develop direct processes of explicit Runge-Kutta type (RKT) as solutions for any fourth-order ordinary differential equation (ODEs) of the structure u ( 4 ) = f ( x , u , u ′ , u ″ ) and denoted as RKTF
Externí odkaz:
https://doaj.org/article/cbf3a85f99974ecaadda04a00bd458c9
Publikováno v:
Algorithms, Vol 12, Iss 1, p 10 (2018)
In this study, fifth-order and sixth-order diagonally implicit Runge–Kutta type (DIRKT) techniques for solving fourth-order ordinary differential equations (ODEs) are derived which are denoted as DIRKT5 and DIRKT6, respectively. The first method ha
Externí odkaz:
https://doaj.org/article/51bbe484981f4e3c96c9dfbd0539bf34
Publikováno v:
Journal of Engineering and Applied Sciences. 14:7077-7083