Results 41 to 50 of about 11,554,034 (251)
Detecting Inverse Boundaries by Weighted High-Order Gradient Collocation Method
Mathematics, 2020 The weighted reproducing kernel collocation method exhibits high accuracy and efficiency in solving inverse problems as compared with traditional mesh-based methods.
Judy P. Yang, Hon Fung Samuel Lam
doaj +1 more source
A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In the present paper, we propose a method to solve a class of weakly singular Fredholm integral equations of the second kind in reproducing kernel spaces.
D. Hamedzadeh, E. Babolian
doaj +1 more source
A novel method for fractal-fractional differential equations
Alexandria Engineering Journal, 2022 We consider the reproducing kernel Hilbert space method to construct numerical solutions for some basic fractional ordinary differential equations (FODEs) under fractal fractional derivative with the generalized Mittag–Leffler (M-L) kernel.
Nourhane Attia +4 more
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Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay +15 more
wiley +1 more source
Reproducing kernel functions for linear tenth-order boundary value problems
ITM Web of Conferences, 2018 Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems.
Akgül Ali +3 more
doaj +1 more source
Recovering Heat Source from Fourth-Order Inverse Problems by Weighted Gradient Collocation
Mathematics, 2022 The weighted gradient reproducing kernel collocation method is introduced to recover the heat source described by Poisson’s equation. As it is commonly known that there is no unique solution to the inverse heat source problem, the weak solution based on ...
Judy P. Yang, Hsiang-Ming Li
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REPRODUCING KERNEL FUNCTIONS FOR DIFFERENCE EQUATIONS [PDF]
, 2015 In this work, some new reproducing kernel functions for difference equations are found. Reproducing kernel functions have not been obtained for difference equations until now.
Karatas, Esra, Inc, Mustafa, Akgul, Ali
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Data‐Driven SuStaIn Model of Disability Progression in Amyotrophic Lateral Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To determine whether ordinal Subtype and Stage Inference (SuStaIn) applied to routine ALSFRS‐R item scores can identify reproducible disability progression patterns in amyotrophic lateral sclerosis (ALS) and provide clinically meaningful staging.
Giammarco Milella +5 more
wiley +1 more source
A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation [PDF]
, 2022 In this paper, we focus on the development and study of the finite difference/pseudo-spectral method to obtain an approximate solution for the time-fractional diffusion-wave equation in a reproducing kernel Hilbert space.
Aracı, Serkan +2 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source