Results 71 to 80 of about 11,694 (172)

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

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

Integrative bioinformatics and experimental validation of hub genetic markers in acne vulgaris: Toward personalized diagnostic and therapeutic strategies

Journal of Cosmetic Dermatology, Volume 23, Issue 5, Page 1777-1799, May 2024.
Abstract Background Acne vulgaris is a widespread chronic inflammatory dermatological condition. The precise molecular and genetic mechanisms of its pathogenesis remain incompletely understood. This research synthesizes existing databases, targeting a comprehensive exploration of core genetic markers.
Qian Lin, Beichen Cai, Ruonan Ke, Lu Chen, Xuejun Ni, Hekun Liu, Xinjian Lin, Biao Wang, Xiuying Shan   +8 more
wiley   +1 more source

Computing energy eigenvalues of anharmonic oscillators using the double exponential Sinc collocation method [PDF]

Annals of Physics, 2015
18 pages and 16 ...
Gaudreau, Philippe J., Slevinsky, Richard M., Safouhi, Hassan   +2 more
openaire   +2 more sources

Twelve years of rain attenuation statistics of Earth–space propagation experiment at Ka band in Toulouse

International Journal of Satellite Communications and Networking, Volume 42, Issue 2, Page 165-180, March/April 2024.
The results of a 12‐year Earth–space propagation experiment at Ka band are summarised. The paper discusses long‐term and monthly statistics of rainfall rate and rain attenuation, as well as the year‐to‐year variability of rain attenuation. Experimental statistics are compared with current reference models.
Étienne Suquet, Jean‐Pascal Monvoisin, Laurent Castanet, Laurent Féral, Xavier Boulanger   +4 more
wiley   +1 more source

The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
The paper proposes a method to solve the time fractional Fokker–Planck equation using the generalized Hermite spectral method and Laplace transform. By the Laplace transform, the ordinary differential equation about the orthogonal expansion coefficient is transformed into a linear algebraic equation system, with the coefficient matrix being a ...
Lu-feng Yang, Igor Freire
wiley   +1 more source

A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
Several scientific areas utilize fractional nonlinear partial differential equations (PDEs) to model various phenomena, yet most of these equations lack exact solutions (Ex‐Ss). Consequently, techniques for obtaining approximate solutions (App‐S), which sometimes yield Ex‐Ss, are essential for solving these equations.
Muhammad Imran Liaqat, Adnan Khan, Hafiz Muhammad Anjum, Gregory Abe-I-Kpeng, Emad E. Mahmoud, S. A. Edalatpanah   +5 more
wiley   +1 more source

Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block‐Pulse Functions for Solving a System of Fractional Differential Equations

Complexity, Volume 2024, Issue 1, 2024.
This paper develops two numerical methods for solving a system of fractional differential equations based on hybrid shifted orthonormal Bernstein polynomials with generalized block‐pulse functions (HSOBBPFs) and hybrid shifted orthonormal Legendre polynomials with generalized block‐pulse functions (HSOLBPFs).
Abdulqawi A. M. Rageh, Adel R. Hadhoud, Hassan Zargarzadeh   +2 more
wiley   +1 more source

A Composite Wavelet–Rational Approach for Solving the Volterra’s Population Growth Model Over Semi‐Infinite Domain

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
In problems defined on a semi‐infinite domain, rational Chebyshev or Laguerre functions are the generic choices of basis functions in spectral methods. The rationale is that if the solution is oscillatory near the origin, then large number of basis functions may be required to retrieve the spectral accuracy that is not convenient.
Leila Rangipoor, Tavassoli Kajani Majid, Saeid Jahangiri, Emilio Turco   +3 more
wiley   +1 more source