Zobrazeno 1 - 10
of 465
pro vyhledávání: '"residual power 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:
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
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:
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
Autor:
Muhammad Nadeem, Yahya Alsayaad
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-13 (2024)
Abstract This work presents the analytical study of one dimensional time-fractional nonlinear Schrödinger equation arising in quantum mechanics. In present research, we establish an idea of the Sumudu transform residual power series method (ST-RPSM)
Externí odkaz:
https://doaj.org/article/541b10bce0624eb48bdefaf3d2d374ed
Autor:
Humaira Yasmin, Aljawhara H. Almuqrin
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16721-16752 (2024)
Within the framework of time fractional calculus using the Caputo operator, the Aboodh residual power series method and the Aboodh transform iterative method were implemented to analyze three basic equations in mathematical physics: the heat equation
Externí odkaz:
https://doaj.org/article/1283edbcd98343279b3c511f16cdf96e
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15671-15698 (2024)
This work aims to present a reliable algorithm that can effectively generate accurate piecewise approximate analytical solutions for third- and fourth-order reaction-diffusion singular perturbation problems. These problems involve a discontinuous sou
Externí odkaz:
https://doaj.org/article/1ede238bd1a24e89817c87408fd79691