Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Shams Ul Arifeen"'
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 11, Pp 103007- (2024)
The main purpose of this study is to investigate the numerical solution of coupled Whitham Broer Kaup (WBK) equation via Quintic B-Spline interpolation technique. This problem is of significant interest in the study of nonlinear wave phenomena becaus
Externí odkaz:
https://doaj.org/article/e42d84a59950407daa1deb5158554103
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 7, Pp 102806- (2024)
Fractional differential equations (FDEs) are utilized as a precise model for describing a wide range of biological and physical processes, benefiting from the inherent symmetry feature in natural phenomena. The introduction of multi-term time-fractio
Externí odkaz:
https://doaj.org/article/fab7b6e2915d461aa26dcd9d5ad57f58
Publikováno v:
Axioms, Vol 13, Iss 8, p 501 (2024)
This study aims to find the numerical solution of the Rosenau–Hyman and Fornberg–Whitham equations via the quintic B-spline collocation method. Quintic B-spline, along with finite difference and theta-weighted schemes, is used for the discretizat
Externí odkaz:
https://doaj.org/article/0dc3abf67a614e8d84cb7cf8e04bff13
Publikováno v:
Results in Physics, Vol 56, Iss , Pp 107222- (2024)
In this paper, we propose and analyze a novel spectral scheme for the numerical solution of a two-dimensional time-fractional diffusion equation. The proposed scheme approximates the unknown function and its derivatives in space by finite Lucas and F
Externí odkaz:
https://doaj.org/article/c1b7124d04d44cfcbeacafe889b4c23a
Autor:
Muhammad Ahsan, Weidong Lei, Amir Ali Khan, Aizaz Ullah, Sheraz Ahmad, Shams Ul Arifeen, Zaheer Uddin, Haidong Qu
Publikováno v:
Alexandria Engineering Journal, Vol 71, Iss , Pp 185-200 (2023)
The primary goal of this study is to increase and improve the precision and order of convergence of the well-known Haar wavelet collocation method (HWCM) that is named as Higher order Haar wavelet collocation method (HHWCM). The HHWCM will then be ap
Externí odkaz:
https://doaj.org/article/61e8b645b5d14dc7ad028fa623ad361f
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-15 (2021)
Abstract This paper presents a numerical scheme based on Haar wavelet for the solutions of higher order linear and nonlinear boundary value problems. In nonlinear cases, quasilinearization has been applied to deal with nonlinearity. Then, through col
Externí odkaz:
https://doaj.org/article/942e36c449404dfb8eb7542eadf28ecd
Publikováno v:
Complexity, Vol 2022 (2022)
Due to the symmetry feature in nature, fractional differential equations precisely measure and describe biological and physical processes. Multiterm time-fractional order has been introduced to model complex processes in different physical phenomena.
Externí odkaz:
https://doaj.org/article/ee37300ebb6243b6bd08624f7bc24769
Publikováno v:
Applied Numerical Mathematics. 189:53-65
Autor:
Shams Ul Arifeen, Sirajul Haq
Publikováno v:
Mathematics and Computers in Simulation. 207:226-242
Publikováno v:
Journal of Nonlinear Mathematical Physics. 30:215-234
In this article, a meshless numerical technique based on radial basis functions (RBFs) is proposed for the solution of singular perturbed, obstacle, and second-order boundary value problems. First, the unknown function and their derivatives are appro