Results 91 to 100 of about 23,229 (213)
MathematicsIn this paper, for a mixed elliptic-hyperbolic type equation with various degeneration orders and singular coefficients, theorems of uniqueness and existence of the solution to the problem with a missing Tricomi condition on boundary characteristic and ...
Assel Makulbay +3 more
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A Regularization of Fredholm type singular integral equations
International Journal of Mathematics and Mathematical Sciences, 2001 We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
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A solution of one dimensional Fredholm integral equations of the second kind [PDF]
Fredholm integral equations of the second kind of the one dimension are numerically solved. It is proven that the numerical solution converges to the exact solution of the integral equation.
Gabrielsen, R. E.
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Legendre multi-wavelets direct method for solving Fredholm integral equations of the second kind [PDF]
, 2010 In this paper,We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve Fredholm integral equations of the second kind. To do so, we reduced the solution of Fredholm integral equation to the solution of algebraic equations ...
Abbas, Zulkifly +2 more
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ABOUT DIFFERENCE OF SOLUTION SINGULAR DISTURBED AND UNDISTURBED BOUNDARY PROBLEMS
Вестник. Серия физическая, 2010 In work obtained the asymptotical convergence of solution singular disturbed integral boundary problem for linear integral differential equation of type Fredholm to solution undisturbed integral boundary problem.
Y.I. Imangaliyev
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An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries [PDF]
, 2011 This research presents several new boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected regions.
Ahmad Alejaily, Ejaily Milad +7 more
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Solvability of some integral equations in Hilbert spaces
Electronic Journal of Differential Equations, 2004 We consider an integral equation of Fredholm and Volterra type with spectral parameter depending on time. Conditions of solvability are established when the initial value of the parameter coincides with an eigenvalue of Fredholm operator.
Onur Alp Ilhan
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Fredholm type integral equations
, 2020 The aim of this thesis is to provide a comprehensive study on Fredholm Integral Equations and the methods to find exact solutions. We also seek to present some effective methods to find the exact solutions for linear and nonlinear Fredholm Integral Equations.
openaire +1 more source
Convergence analysis of deep ReLU networks for solving integral equations
Machine Learning: Science and TechnologyThis paper proposes a deep rectified linear unit (ReLU) neural network framework for approximating solutions to linear and nonlinear integral equations, encompassing the Urysohn equation, Hammerstein equation, and weakly singular second-kind Fredholm ...
Min Zhou, Xin Tan
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The Study of Triple Integral Equations with Generalized Legendre Functions
Abstract and Applied Analysis, 2008 A method is developed for solutions of two sets of triple integral equations involving associated Legendre functions of imaginary arguments. The solution of each set of triple integral equations involving associated Legendre functions is reduced to a ...
B. M. Singh, J. Rokne, R. S. Dhaliwal
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