Results 41 to 50 of about 36,781 (141)
Electromagnetic wave scattering by small bodies
, 2008 A reduction of the Maxwell's system to a Fredholm second-kind integral equation with weakly singular kernel is given for electromagnetic (EM) wave scattering by one and many small bodies.
A.G. Ramm +13 more
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On integral equations with Weakly Singular kernel by using Taylor series and Legendre polynomials
Open Physics, 2015 This paper is concerned with the numerical solution for a class of weakly singular Fredholm integral equations of the second kind. The Taylor series of the unknown function, is used to remove the singularity and the truncated Taylor series to second ...
Babolian Esmail +4 more
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A 3-dimensional singular kernel problem in viscoelasticity: an existence result
, 2018 Materials with memory, namely those materials whose mechanical and/or thermodynamical behaviour depends on time not only via the present time, but also through its past history, are considered.
Carillo, Sandra
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Re-iterated approximation methods for nonlinear Volterra integral equations
Mathematical Modelling and AnalysisIn this article, the Newton-iteration scheme based upon iterated Galerkin operator is applied for solving non-linear Volterra Urysohn integral equations of the second kind for smooth and weakly singular kernels. A one step of improvement by iteration to
Samiran Chakraborty +3 more
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Fractal and Fractional, 2021 Fractional differential equations can present the physical pathways with the storage and inherited properties due to the memory factor of fractional order.
Tayyaba Akram +4 more
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A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where .
J. Biazar +2 more
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Mathematics, 2022 This paper studies an alternating direction implicit orthogonal spline collocation (ADIOSC) technique for calculating the numerical solution of the hyperbolic integrodifferential problem with a weakly singular kernel in the two-dimensional domain.
Qiong Huang +2 more
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Modern Stochastics: Theory and Applications, 2015 We construct an estimator of the unknown drift parameter $\theta \in \mathbb{R}$ in the linear model \[X_{t}=\theta t+\sigma _{1}{B}^{H_{1}}(t)+\sigma _{2}{B}^{H_{2}}(t),\hspace{0.2778em}t\in [0,T],\] where ${B}^{H_{1}}$ and ${B}^{H_{2}}$ are two ...
Yuliya Mishura, Ivan Voronov
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Gap asymptotics in a weakly bent leaky quantum wire
, 2015 The main question studied in this paper concerns the weak-coupling behavior of the geometrically induced bound states of singular Schr\"odinger operators with an attractive $\delta$ interaction supported by a planar, asymptotically straight curve $\Gamma$
Exner, Pavel, Kondej, Sylwia
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An Extension of the Product Integration Method to L1 with Applications in Astrophysics
Mathematical Modelling and Analysis, 2016 A Fredholm integral equation of the second kind in L1([a, b], C) with a weakly singular kernel is considered. Sufficient conditions are given for the existence and uniqueness of the solution. We adapt the product integration method proposed in C0 ([a, b],
Laurence Grammont +2 more
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