Results 61 to 70 of about 24,884 (178)

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

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source

Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

Results in Physics, 2021
In this article, a new and efficient operational matrix method based on the amalgamation of Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional telegraph equations with Dirichlet boundary conditions.
Firdous A. Shah, Mohd Irfan, Kottakkaran S. Nisar, R.T. Matoog, Emad E. Mahmoud   +4 more
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

Adaptive piecewise Poly-Sinc methods for ordinary differential equations [PDF]

, 2023
We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the
Youssef, Maha, Baumann, Gerd, El-Sharkawy, Hany, Khalil, Omar   +3 more
core   +1 more source

Applying Haar-Sinc Spectral Method for Solving time-fractional Burger Equation [PDF]

Mathematics and Computational Sciences
Haar-Sinc spectral method is used for the numerical approximation of time fractional Burgers’equations with variable and constant coefficients. The main idea in this method is using a linear discretization of time and space by combination of Haar and ...
Ali Pirkhedri
doaj   +1 more source

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

Approximation Techniques for Solving Linear Systems of Volterra Integro-Differential Equations

Journal of Applied Mathematics, 2020
In this paper, a collocation method using sinc functions and Chebyshev wavelet method is implemented to solve linear systems of Volterra integro-differential equations.
Ahmad Issa, Naji Qatanani, Adnan Daraghmeh   +2 more
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

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