Results 51 to 60 of about 165 (149)

Modeling and Numerical Investigation of Space‐Fractional Advection Diffusion Models by Galerkin’s Weighted Residual Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we first model the space‐fractional advection equation by choosing an exact solution under certain restrictions. Then, the forcing term is determined according to that solution. Secondly, we present a numerical solution for a class of space‐fractional advection‐diffusion equations with a nonlinear source term involving both time and ...
Muhammad Hakim Ali Qasmi, Syed Ali Mohsin Bukhari, Amal Alshabanat, Umair Ali, Smritijit Sen   +4 more
wiley   +1 more source

Numerical solutions of one-dimensional non-linear parabolic equations using Sinc collocation method

Ain Shams Engineering Journal, 2015
We propose a numerical method for solving singularly perturbed one-dimensional non-linear parabolic problems. The equation converted to the nonlinear ordinary differential equation by discretization first in time then subsequently in each time level we ...
Jalil Rashidinia, Ali Barati
doaj   +1 more source

Broadband, Wide‐Angle, and Versatile Metasurface Illusions with Inverse Synthetic Aperture Radar Imaging

Advanced Science, Volume 12, Issue 18, May 15, 2025.
“Illusion” is a captivating topic throughout human civilization. This research proposes an advanced multi‐layer metasurface illusion strategy utilizing a technique known as “inverse synthetic aperture radar (ISAR)” imaging, enabling the creation of illusions over broadband and wide‐angle.
Haoran Li, Kang Luo, Din Ping Tsai, Yulang Li, Linyuan Dou, Shuqiao Li, Tao He, Yuancheng Fan, Mu Ku Chen, Zhanshan Wang, Yuzhi Shi, Zeyong Wei, Xinbin Cheng   +12 more
wiley   +1 more source

Numerical simulations of two components ecological models with sinc collocation method

Boletim da Sociedade Paranaense de Matemática, 2019
It is well known that reaction-diffusion systems can describe the interactions of different species in ecological systems. In this work, we propose a numerical method  for solving a general two-species reaction-diffusion system. The method comprises a standard finite difference to discretize  in time direction and Sinc collocation method in spatial ...
Ali Barati, Ali Atabaigi
openaire   +3 more sources

Enhanced activation of retinal progenitor cells by zinc silicate bioceramics for effective functional restoration in retinal degenerative diseases

VIEW, Volume 6, Issue 1, February 2025.
Retinal degenerative diseases are a major cause of blindness and retinal progenitor cells (RPCs) transplantation therapy is promising. A hydrogel delivery system for RPCs, based on zinc silicate bioactive ceramics (ZS), continuously and stably releases bioactive Zn2+ and SiO32− ions.
Na Sun, Zhaowenbin Zhang, Jiajing Wang, Yuan Yang, Jianhui Wang, Tianxing Chen, Yiqi Wang, Haodong Xiao, Ping Gu, Zhaoyang Wang, Jiang Chang, Jing Ji   +11 more
wiley   +1 more source

Kesirli mertebeden integro-diferansiyel denklemlerin çözümü için sayısal bir yöntem

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017
In this study, sinc-collocation method is introduced for solving Volterra integro-differential equations of fractional order. Fractional derivative is described in the Caputo sense often used in fractional calculus.
Sertan Alkan
doaj   +1 more source

Series and Rational Solutions of the Second Kind Painlevé Equations by Using the Quantum Pseudospectral Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. This article uses a hybrid of quantum computing schemes and spectral methods for the second
Saeid Abbasbandy, Shikha Binwal
wiley   +1 more source

A kind of adaptive variable stepsize embedded Runge–Kutta pairs coupled with the Sinc collocation method for solving the KdV equation

Results in Applied Mathematics
For solving the KdV equation, a novel numerical method with high order accuracy in both space and time is proposed. In the spatial direction, Sinc collocation method, which has the property of exponential convergence, is adopted.
Cheng Chen, Wenting Shao
doaj   +1 more source

Analyze Second‐Order PDEs Using the Volterra–Fredholm Integral Equation

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this study, we propose a novel approach to address a particular second‐order partial differential equation along with its boundary value conditions (SPDEs). In this process, we transfer the SPDEs problem into Volterra–Fredholm integral equation (VFIE), and we perform the Tau method bases on orthogonal Legendre polynomials directly, for solution of ...
Choonkil Park, Javad Shokri, Richard I. Avery   +2 more
wiley   +1 more source

FastFaceCLIP: A lightweight text‐driven high‐quality face image manipulation

IET Computer Vision, Volume 18, Issue 7, Page 950-967, October 2024.
A novel image control method that synergises the robust generative capacity of FastFace, rooted in the ViT model architecture, with the extraordinary visual‐text encoding prowess of CLIP was developed. The proposed scheme demonstrates its effectiveness in editing a variety of real and cartoon portraits, achieving some manipulations unattainable with ...
Jiaqi Ren, Junping Qin, Qianli Ma, Yin Cao   +3 more
wiley   +1 more source