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:
Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 37, Iss 2 (2024)
This paper presents two important contributions to the field of numerical analysis for third-order ordinary differential equations (ODEs). First, a new class of direct implicit Runge-Kutta (RK) processes, called RKTDIO, is introduced as solutions to
Externí odkaz:
https://doaj.org/article/ea36b27c799d49389899886c542d43f5
Publikováno v:
Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 37, Iss 1 (2024)
EDIRKTO, an Implicit Type Runge-Kutta Method of Diagonally Embedded pairs, is a novel approach presented in the paper that may be used to solve 4th-order ordinary differential equations of the form . There are two pairs of EDIRKTO, with three stages
Externí odkaz:
https://doaj.org/article/16bcb478f8bd46b3b9b2756c6cd9c61a
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82bf99304ef01006fc73ced8b76c1c20
https://doi.org/10.25130/tjps.v27i3.46
https://doi.org/10.25130/tjps.v27i3.46
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::388656cb83882f86a186b6ae615ec30d
https://doi.org/10.24996/ijs.2022.63.9.21
https://doi.org/10.24996/ijs.2022.63.9.21
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