Results 41 to 50 of about 5,063,540 (351)
Geometrically Constructed Family of the Simple Fixed Point Iteration Method
Mathematics, 2021 This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line.
Vinay Kanwar +6 more
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The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
wiley +1 more source
A nonlinear wave equation with a nonlinear integral equation involving the boundary value
Electronic Journal of Differential Equations, 2004 We consider the initial-boundary value problem for the nonlinear wave equation $$displaylines{ u_{tt}-u_{xx}+f(u,u_{t})=0,quad xin Omega =(0,1 ...
Thanh Long Nguyen, Tien Dung Bui
doaj
Adapting the range of validity for the Carleman linearization [PDF]
Advances in Radio Science, 2016 In this contribution, the limitations of the Carleman linearization approach are presented and discussed. The Carleman linearization transforms an ordinary nonlinear differential equation into an infinite system of linear differential equations. In order
H. Weber, W. Mathis
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Arthritis Care &Research, EarlyView.Objective Recent inflammatory bowel disease (IBD) treatment guidelines have recommended against nonsteroidal anti‐inflammatory drug (NSAID) use despite prevalent musculoskeletal symptoms and opioid overuse in this population. Given the discordance between changing national guidelines and potential clinical utility, we sought to assess national temporal
Adam S. Mayer +5 more
wiley +1 more source
A Novel n-Point Newton-Type Root-Finding Method of High Computational Efficiency
Mathematics, 2022 A novel Newton-type n-point iterative method with memory is proposed for solving nonlinear equations, which is constructed by the Hermite interpolation. The proposed iterative method with memory reaches the order (2n+2n−1−1+22n+1+22n−2+2n+1)/2 by using n
Xiaofeng Wang
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Arthritis Care &Research, EarlyView.Objective Ultrasound (US) has been proposed as a potential tool for assessing skin fibrosis in systemic sclerosis (SSc). However, a large‐scale comparison of US‐based assessment with histologic markers of skin fibrosis has not been reported. We evaluated US‐based skin assessments for their face validity (differentiation between involved SSc and healthy
Ruhani Desai +12 more
wiley +1 more source
Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation
Journal of Applied Mathematics, 2022 Nonlinear heat equation solved by the barycentric rational collocation method (BRCM) is presented. Direct linearization method and Newton linearization method are presented to transform the nonlinear heat conduction equation into linear equations.
Jin Li
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Arthritis Care &Research, EarlyView.Objective This study assessed sarilumab in treating patients with polyarticular‐course juvenile idiopathic arthritis (pcJIA). Methods This phase 2b, open‐label study (NCT02776735) consisted of three sequential parts (each with a core‐treatment and extension phase).
Fabrizio De Benedetti +19 more
wiley +1 more source
A non-linear hyperbolic equation
International Journal of Mathematics and Mathematical Sciences, 1980 In this paper the following Cauchy problem, in a Hilbert space H, is considered: (I+λA)u″+A2u+[α+M(|A12u|2)]Au=fu(0)=u0u′(0 ...
Eliana Henriques de Brito
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