Results 41 to 50 of about 148,162,886 (209)
On linear singular volterra integral equations of the second kind
Journal of Mathematical Analysis and Applications, 1984 Let \(\mu\) be a nonatomic, signed measure on the Borel sets of \([0,1]\), whose total variation measure is infinite on \([0,1]\), but finite on \([t,1]\), \(t\in (0,1)\). Let the measurable function \(k\) be defined on \(\Delta =\{(t,s):\) \(0\leq s\leq t\leq 1\}\) such that \(k(\circ,s)\) is absolutely continuous on \([s,1]\) with derivative \(k_ t ...
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Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]
Journal of Sciences, Islamic Republic of Iran, 2019 In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
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Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind [PDF]
Mathematical Problems in Engineering, 2013 This work presents the possible generalization of the Volterra integral equation second kind to the concept of fractional integral. Using the Picard method, we present the existence and the uniqueness of the solution of the generalized integral equation. The numerical solution is obtained via the Simpson 3/8 rule method.
Abdon Atangana, Necdet Bildik
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Advances in causal discovery methods for ecological time series
Biological Reviews, EarlyView.ABSTRACT Recent advances in data collection technologies (e.g. automated sensor networks, satellite remote sensing, and high‐throughput sequencing) have greatly expanded the availability of ecological time series, enabling new opportunities for causal analyses in dynamic ecosystems.
Kenta Suzuki +6 more
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]
, 2007 This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
Advances in Difference Equations, 2020 In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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Numerical Solutions for second-kind Volterra integral equations by Galerkin methods [PDF]
Applications of Mathematics, 2000 The authors consider a nonlinear Volterra integral equation of the second kind in the interval [0,1]. They prove that a simple interpolated finite element Galerkin scheme produces a global superconvergence in the \(L^{\infty}\)-norm. A local superconvergence of iterated finite element solutions is investigated, as well. As a by-product, an a posteriori
Zhang, Shuhua, Lin, Yanping, Rao, Ming
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A projection method with smoothing transformation for second kind Volterra integral equations
Dolomites Research Notes on Approximation, 2021 Summary: In this paper we present a projection method for linear second kind Volterra integral equations with kernels having weak diagonal and/or boundary singularities of algebraic type. The proposed approach is based on a specific optimal interpolation process and a smoothing transformation.
Fermo L., Occorsio D.
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iMetaOmics, EarlyView.This graphical abstract presents a novel Diet‐Artificial Intelligence (AI)‐intestinal Microbiota–Host Health paradigm integrating microbiota‐centric pathways and an AI‐driven multi‐omics workflow. Diet shapes gut bacteria that regulate intestinal mucosal integrity, immune signaling, and gut–brain neurotransmitters to influence host health.
Tianle He +16 more
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Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices [PDF]
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan +7 more
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