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Information complexity of weakly singular integral equations
Ukrainian Mathematical Journal, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pereverzev, S. V., Makhkamov, K. Sh.
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On a weakly singular Volterra integral equation
CALCOLO, 1981The need for providing reliable numerical methods for the solution of weakly singular Volterra integral equations of first kind stems from the fact that they are connected to important problems in the theory and applications of stochastic processes. In the first section the above problems and some peculiarities of such equations are briefly sketched ...
Favella, L. F., De Griffi, E. M.
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Numerical solutions of weakly singular Hammerstein integral equations
Applied Mathematics and Computation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Allouch, D. Sbibih, M. Tahrichi
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Parallel methods for weakly singular Volterra integral equations on GPUs
Applied Numerical Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CONTE, Dajana, PATERNOSTER, Beatrice
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Solution of certain weakly singular integral equations
IMA Journal of Applied Mathematics, 2006Direct function theoretic methods are developed to handle two weakly singular integral equations with their kernels having logarithmic singularity. The present methods avoid the occurrence of higher-order (or strong) singularities, like the Cauchy type singularity in the representation of the solutions of such integral equations.
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The Cubic Spline-Collocation Method for Weakly Singular Integral Equations
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pedas, A., Timak, È.
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On Weakly Singular Integral Equations of the Second Kind
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1988The note is concerned with the numerical solution of Fredholm integral equations \[ \lambda x(t)-\int^{b}_{a}k(t,s)g_{\alpha}(| t- s|)x(s)ds=f(t), \] where f and k are given and smooth and \(g_{\alpha}(r)=r^{\alpha -1 ...
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The Smoothness of Solutions to Nonlinear Weakly Singular Integral Equations
Zeitschrift für Analysis und ihre Anwendungen, 1994The differential properties of a solution of a nonlinear multidimensional weakly singular integral equation of the Uryson type on an open bounded set G \in \mathbb R^n are examined.
Pedas, A., Vainikko, G.
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IEEE Transactions on Antennas and Propagation, 2013
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Sheng, Wei Tian +3 more
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Sheng, Wei Tian +3 more
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Product Integration for Weakly Singular Integral Equations In ℝm
1985In this note we discuss the numerical solution of the second kind Fredholm integral equation: $$ y(t) = f(t) + \lambda \int\limits_{\Omega } {{{\psi }_{\alpha }}(|t - s|)g(t,s)y(s)ds,\;t \in \bar{\Omega },} $$ (1) Where \( \lambda \in ;\not{ \subset }\backslash \{ 0\} \) , the functions f,g are given and continuous, |.| denotes the Euclidean ...
Ivan G. Graham, Claus Schneider
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