Results 41 to 50 of about 23,790,714 (246)

Combination of integral and projected differential transform methods for time-fractional gas dynamics equations

Ain Shams Engineering Journal, 2018
The present paper discusses the solution of nonlinear homogeneous and nonhomogeneous time-fractional gas dynamic equations arising in shock fronts by a new combination of new integral and projected differential transform method.
Kunjan Shah, Twinkle Singh, Adem Kılıçman   +2 more
doaj   +1 more source

Automatic Lesion Morphometrics Reliably Predict Sensorimotor Recovery After Spinal Cord Injury: A Longitudinal, Multicenter Neuroimaging Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To evaluate automatic magnetic resonance imaging (MRI)‐derived lesion morphometrics against manual measurements and their prognostic value for characterizing distinct acute to chronic neurological recovery trajectories after spinal cord injury (SCI). Methods We studied a retrospective, multicenter cohort of cervical and thoracolumbar
Dario Pfyffer, Jan Valošek, Lynn Farner, Enamundram Naga Karthik, Gergely David, Norbert Weidner, Rainer Abel, Doris Maier, Armin Curt, Margret Hund‐Georgiadis, Mirko Aach, Michael Baumberger, Julien Cohen‐Adad, Patrick Freund, the Nogo Inhibition in Spinal Cord Injury Study Group, Rainer Abel, Kerstin Rehahn, Mirko Aach, Klaus Röhl, Norbert Weidner, Marion Saur, Nikolaus Weiskopf, Doris Maier, Andreas Badke, Margret Hund‐Georgiadis, Michael Baumberger, Armin Curt, Jesus Benito‐Penalva, Jiri Kriz   +28 more
wiley   +1 more source

Decomposition–Linearization–Sequential Homotopy Methods for Nonlinear Differential/Integral Equations

Mathematics
In the paper, two new analytic methods using the decomposition and linearization technique on nonlinear differential/integral equations are developed, namely, the decomposition–linearization–sequential method (DLSM) and the linearized homotopy ...
Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang   +2 more
doaj   +1 more source

Cutting-Edge Spectral Solutions for Differential and Integral Equations Utilizing Legendre’s Derivatives [PDF]

Iranian Journal of Numerical Analysis and Optimization
This research introduces a spectral numerical method for solving some types of integral equations, which is the pseudo-Galerkin spectral method. The presented method depends on Legendre’s first derivative polynomials as basis functions.
A.M. Abbas, Y.H. Youssri, M. El-Kady, M. Abdelhakem   +3 more
doaj   +1 more source

Frailty Predicts Incident Osteoporotic Fractures in Veterans with Rheumatoid Arthritis

Arthritis Care &Research, EarlyView.
Objective Rheumatoid arthritis (RA) is associated with an increased risk of frailty and osteoporosis, but the relationship between frailty and incident osteoporotic fractures in RA is underexplored. Methods Data were from the Veterans Affairs (VA) Rheumatoid Arthritis Registry. Frailty was measured using the VA Frailty Index (VAFI).
Katherine D. Wysham, Hannah F. Brubeck, Aaron Baraff, Punyasha Roul, Namrata Singh, James S. Andrews, Grant W. Cannon, Gary A. Kunkel, Ted R. Mikuls, Bryant R. England, Dolores M. Shoback, Patricia P. Katz, Jose M. Garcia, Ariela R. Orkaby, Joshua F. Baker   +14 more
wiley   +1 more source

Multistage Optimal Homotopy Asymptotic Method to Solve Fuzzy Fredholm Integral Equations of Second Kind

Journal of Applied Science and Engineering
Various complex, unpredictable, and time-delayed physical events rely on fuzzy integral equations (FIEs), playing a crucial role in representing these applications.
Muath Talal Mahmoud AlZubi, Ali Fareed Jameel, Farah Aini Abdullah, Adila Aida Azahar   +3 more
doaj   +1 more source

Unsupervised Machine Learning Identifies Shared Biomechanical and Clinical Variation in Individuals with Knee Osteoarthritis and High Body Mass Index

Arthritis Care &Research, EarlyView.
Objective High body mass index (BMI ≥ 27 kg/m2) and aberrant gait biomechanics are primary risk factors for knee osteoarthritis (KOA), yet the specific loading patterns linked to clinical disease features remain unclear. Unsupervised machine learning (ML) was used to identify vertical ground reaction force (vGRF) waveform modes of variation and ...
Ashley N. Buck, J. Elyse Borgert, Hyeon Lee, Liubov Arbeeva, Yvonne M. Golightly, Richard F. Loeser, Leigh F. Callahan, Stephen P. Messier, Brian Pietrosimone, Amanda E. Nelson, James S. Marron   +10 more
wiley   +1 more source

Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions

پژوهش‌های ریاضی, 2019
Introduction A system of integral equations can describe different kind of problems in sciences and engineering. There are many different methods for numerical solution of linear and nonlinear system of integral equations. Material and methods This paper
Elnaz Babaei, Elham Hashemizadeh
doaj  

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj