Results 71 to 80 of about 112,777 (261)

Fractional View Analysis System of Korteweg–de Vries Equations Using an Analytical Method

Fractal and Fractional
This study introduces two innovative methods, the new transform iteration method and the residual power series transform method, to solve fractional nonlinear system Korteweg–de Vries (KdV) equations.
Yousef Jawarneh, Zainab Alsheekhhussain, M. Mossa Al-Sawalha   +2 more
doaj   +1 more source

Solutions of Stiff Systems of Ordinary Differential Equations Using Residual Power Series Method

Journal of Mathematics, 2022
The stiff differential equations occur in almost every field of science. These systems encounter in mathematical biology, chemical reactions and diffusion process, electrical circuits, meteorology, mechanics, and vibrations. Analyzing and predicting such
Mubashir Qayyum, Qursam Fatima
doaj   +1 more source

Refinement of amino‐acid conformation vs. difference density maps in time‐resolved serial femtosecond crystallography data analysis

FEBS Open Bio, EarlyView.
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong, Yuhei Hosokawa, Lars Oliver Essen, Manuel Maestre‐Reyna   +3 more
wiley   +1 more source

Adapting semi-analytical treatments to the time-fractional derivative Gardner and Cahn-Hilliard equations

Alexandria Engineering Journal
This paper used the flexible and efficient least squares residual power series method (LSRPSM) to solve the time-fractional derivative Cahn-Hilliard and Gardener equations. The LSRPSM combines the residual power series method (RPSM) and the least squares
A. Hassan, A.A.M. Arafa, S.Z. Rida, M.A. Dagher, H.M. El Sherbiny   +4 more
doaj   +1 more source

Clinical Spectrum and Outcomes of SOX1 Antibody‐Associated Paraneoplastic Neurological Syndromes: A Chinese Cohort Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background SOX1 antibody‐positive paraneoplastic neurological syndromes (PNS) exhibit significant population‐specific clinical heterogeneity. While Western cohorts predominantly manifest Lambert‐Eaton myasthenic syndrome (65%–80%), comprehensive clinical characterization and treatment response data in Asian populations remain critically ...
Jin‐Long Ye, Zu‐Ying Kuang, Bo Li, Meng‐Qiu Pan, Li‐Hua Zhou, Yang‐Yang Dai, Si‐Fen Xie, Xian‐Guang Lin, Ye‐Peng Hu, Li‐Hong Jiang, Zhan‐Hang Wang, Wei‐Jing Zhang   +11 more
wiley   +1 more source

Analytical Solution of Nonlinear Fractional Volterra Population Growth Model Using the Modified Residual Power Series Method

, 2020
In this paper, we introduce an analytical approximate solution of nonlinear fractional Volterra population growth model based on the Caputo fractional derivative and the Riemann fractional integral of the symmetry order.
Araya Wiwatwanich, Patcharee Dunnimit, Duangkamol Poltem   +2 more
core   +1 more source

Exact and Approximate Solutions for Linear and Nonlinear Partial Differential Equations via Laplace Residual Power Series Method

, 2023
The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations.
Haneen Khresat, Moa’ath N. Oqielat, Ahmad El-Ajou, Shrideh Al-Omari, Sharifah E. Alhazmi   +4 more
core   +1 more source

Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems

Mathematics
This work presents a reliable algorithm to obtain approximate analytical solutions for a strongly coupled system of singularly perturbed convection–diffusion problems, which exhibit a boundary layer at one end. The proposed method involves constructing a
Essam R. El-Zahar, Ghaliah F. Al-Boqami, Haifa S. Al-Juaydi   +2 more
doaj   +1 more source

Diffusion Spectrum Imaging Maps Early Axonal Loss and a Unique Progressive Signal in Neuronal Intranuclear Inclusion Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To delineate specific in vivo white matter pathology in neuronal intranuclear inclusion disease (NIID) using diffusion spectrum imaging (DSI) and define its clinical relevance. Methods DSI was performed on 42 NIID patients and 38 matched controls.
Kaiyan Jiang, Yixiu Pei, Xiaobao Hu, Ying Xiong, Fang Wang, Yanyan Yu, Min Zhu, Dandan Tan, Meihong Zhou, Daojun Hong, Fuqing Zhou   +10 more
wiley   +1 more source

CX3CL1 in Early Detection of Alzheimer's Disease: Plasma Dynamics Across Age and Disease Stages

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Backgrounds Alzheimer's disease (AD) is characterized by amyloid‐beta plaques, tau tangles, and neuroinflammation. C‐X3‐C motif chemokine ligand 1 (CX3CL1, also known as fractalkine), a neuroimmune chemokine implicated in AD pathogenesis, shows inconsistent alterations in plasma/serum across studies.
Ling Wang, Yujie Liu, Fei Li, Xuelin Li, Lanlan Li, Jie Zhang, Yali Xu   +6 more
wiley   +1 more source