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Matrix Method by Genocchi Polynomials for Solving Nonlinear Volterra Integral Equations with Weakly Singular Kernels [PDF]
, 2020 In this study, we present a spectral method for solving nonlinear Volterra integral equations with weakly singular kernels based on the Genocchi polynomials.
Samad Noeiaghdam +2 more
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Journal of Mathematics, 2022 In this paper, we propose and analyze a spectral approximation for the numerical solutions of fractional integro-differential equations with weakly kernels.
Xiulian Shi
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Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy
Advanced Engineering Materials, EarlyView.A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang +10 more
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Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]
, 2006 Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
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Advanced Engineering Materials, EarlyView.The present study investigates recycling of NiTi shape memory alloys via vacuum induction melting. An ingot was synthesized from elemental Ni and Ti and subjected to three subsequent remelting cycles. Remelting increases process durations and impurity levels and adversely affects microstructures and functional properties.
Sakia Sophia Noorzayee +7 more
wiley +1 more source
Abstract and Applied Analysis, 2014 Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.
Phollakrit Thiramanus +2 more
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analysis of Product Integration Methods for a Class of Singular Volterra Integral Equations
Trends in Computational and Applied Mathematics, 2000 The construction and analysis of high order numerical methods for Volterra integral equations with a certain weakly singular kernel have been investigated in [6], under the assumption the the solution is sufficiently smooth.
T. Diogo, P. Lima, N.B. Franco
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Fractal and Fractional, 2021 We propose a fractional-order shifted Jacobi–Gauss collocation method for variable-order fractional integro-differential equations with weakly singular kernel (VO-FIDE-WSK) subject to initial conditions.
Mohamed A. Abdelkawy +4 more
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ON THE ARONSZAJN PROPERTY FOR AN INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL
Demonstratio Mathematica, 2004 The author proves that, for Banach spaces \(E\), \(F\) and \(D=[0,d]\), under suitable conditions on \(p\in C(D,E)\), \(f:D\times E\rightarrow F\), \( K(t,s)=H(t,s)/(t-s)^{r}\) with \(H:\{(t,s):0\leq s\leq t\leq d\}\rightarrow \mathcal{L}(F,E)\) continuous and ...
openaire +2 more sources
Polynomial Spline Collocation Method For Nonlinear Two--Dimensional Weakly Singular Integral Equations [PDF]
, 2007 INTRODUCTION The solution of a second kind Fredholm integral equation with weakly singular kernel is typically nonsmooth near the boundary of the domain of integration (its derivatives are unbounded, see, for example, [1-3, 5, 7-8, 10-14]). If one wants
R. Ciegis (ed +2 more
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