Zobrazeno 1 - 10
of 2 331
pro vyhledávání: '"Series method"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 12, Pp 33442-33466 (2024)
This paper presents an innovative approach to solve $ \mathit{q} $-fractional partial differential equations through a combination of two semi-analytical techniques: The Residual Power Series Method (RPSM) and the Homotopy Analysis Method (HAM). Both
Externí odkaz:
https://doaj.org/article/fe867cd69acb4629aba398aa701ca19b
Autor:
Musawa Yahya Almusawa, Hassan Almusawa
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31898-31925 (2024)
This study delved into the analytical investigation of two significant nonlinear partial differential equations, namely the fractional Kawahara equation and fifth-order Korteweg-De Vries (KdV) equations, utilizing advanced analytical techniques: the
Externí odkaz:
https://doaj.org/article/c57fb898412b4dd28948fe5c8b9327e5
Autor:
Kottakkaran Sooppy Nisar
Publikováno v:
Alexandria Engineering Journal, Vol 106, Iss , Pp 19-24 (2024)
In recent years, there has been a growing interest among researchers in the study of shallow water waves, driven by their wide applicability across various scientific disciplines. Within this field, the Camassa–Holm equation has garnered significan
Externí odkaz:
https://doaj.org/article/2ac854b357254e56865079801220d76d
Autor:
Meshari Alesemi
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 29269-29295 (2024)
This paper investigated the application of analytical methods, specifically the Mohand transform iterative method (MTIM) and the Mohand residual power series method (MRPSM), to solve the fractional Boussinesq equation. Utilizing the Caputo operator t
Externí odkaz:
https://doaj.org/article/d55636c113d74ef7b464020eeaf989a0
Publikováno v:
Open Physics, Vol 22, Iss 1, Pp 73-85 (2024)
This investigation explores the analytical solutions to the time-fractional multi-dimensional Navier–Stokes (NS) problem using advanced approaches, namely the Aboodh residual power series method and the Aboodh transform iteration method, within the
Externí odkaz:
https://doaj.org/article/dc0f02abc3b84172b92cc83d2c203c15
Publikováno v:
Экономика: стратегия и практика, Vol 19, Iss 2, Pp 41-57 (2024)
The commercialization of scientific research and development (R&D) results is a key driver for enhancing corporate revenues and profits, positively impacting economic development, and increasing global and national competitiveness. However, commercia
Externí odkaz:
https://doaj.org/article/c07b39deb2954b9daf51f9c4adfe71df
Autor:
Abdullah Dawar
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 101016- (2024)
In this effort, a new method called the improved residual power series method with Padé approximants (IRPSM-Padé) has been introduced to solve the boundary value problems (BVPs) on an unbounded domain. It was known from the previous studies that th
Externí odkaz:
https://doaj.org/article/0554a423549840bd90e0e9c005fb4383
Autor:
Humaira Yasmin, Aljawhara H. Almuqrin
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 20441-20466 (2024)
We focused on the analytical solution of strong nonlinearity and complicated time-fractional evolution equations, including the Sawada-Kotera equation, Ito equation, and Kaup-Kupershmidt equation, using an effective and accurate method known as the A
Externí odkaz:
https://doaj.org/article/ce68898c256c4482a2e0208eff22f8b7
Publikováno v:
Meikuang Anquan, Vol 55, Iss 6, Pp 241-248 (2024)
In order to evaluate miners’ emergency ability reasonably, the evaluation model of miners’ emergency ability maturity was established. Firstly, based on the information processing model of miners’ emergency ability, the information processing p
Externí odkaz:
https://doaj.org/article/89d24a6521b94e119b41cd34de96738f
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-23 (2024)
Abstract The study examines the using of Aboodh residual power series method and the Aboodh transform iteration method (ATIM) to analyze modified Korteweg-de Vries equation (mKdV) beside coupled Burger’s equations in the framework of the Caputo ope
Externí odkaz:
https://doaj.org/article/a27ebad1b70341e9b14074b90f5867d0