Results 271 to 280 of about 1,686 (292)

One multidimensional weakly singular integral equation

Russian Mathematics, 2007
The authors establish sufficient conditions for the positive definiteness of the operator \[ A\varphi\equiv a(x)\varphi(x)+ \int_D \frac {h(x,y)\varphi(y)} {\rho^\alpha(x,y)}\,dy=f(x) \] where \(x\in D\), \(\alpha=\text{const}\), \(0\leq ...
Agachev, Yu. R., Gubaidullina, R. K.
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Linear Boundary-Value Problems for Weakly Singular Integral Equations

Journal of Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boichuk, O. A., Feruk, V. A.
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New methods for solving of nonlinear weakly singular integral equations

Kybernetes, 2006
PurposeAims to present a boundary integral equation method for solving Laplace's equation Δu=0 with nonlinear boundary conditions.Design/methodology/approachThe nonlinear boundary value problem is reformulated as a nonlinear boundary integral equation, with u on the boundary as the solution being sought.
Khosrow Maleknejad, Hamid Mesgrani
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PERIODICITY AND SYMMETRY IN A CLASS OF INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS

Far East Journal of Dynamical Systems, 2023
Summary: We introduce the periodic and symmetric properties of the states in a class of weakly singular integral equations. The motivation of this study is due to the main results reported in a previous paper according to which bounded forces produce bounded states in the infinite field. We observe that within finite time, steady states develop.
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A fast multiscale Kantorovich method for weakly singular integral equations

Numerical Algorithms, 2012
The authors study a fast multiscale Kantorovich method for weakly singular integral equations. They first recall the properties of two multiscale bases which are used to construct the fast multiscale Kantorovich method. The fast multiscale Kantorovich method, the fast iterated multiscale Kantorovich method and convergence analysis are presented ...
Guangqing Long, Weifen Wu, Gnaneshwar Nelakanti   +2 more
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The Cubic Spline-Collocation Method for Weakly Singular Integral Equations

Differential Equations, 2001
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Pedas, A., Timak, È.
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Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel

Applied Numerical Mathematics, 2022
Hui Liang
exaly  

Operational matrix method for solving fractional weakly singular 2D partial Volterra integral equations

Journal of Computational and Applied Mathematics, 2023
Reza Ezzati
exaly  

Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations

International Journal of Computer Mathematics, 2021
Kapil Kant, Moumita Mandal, Gnaneshwar Nelakanti   +2 more
exaly  

Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem

Journal of Computational and Applied Mathematics, 2019
Bijaya Laxmi Panigrahi, Moumita Mandal, Gnaneshwar Nelakanti   +2 more
exaly