Numerical solution of the two-dimensional first kind Fredholm integral equations using a regularized collocation method
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Publication:6095380
DOI10.1007/S40314-023-02403-WOpenAlexW4385505126MaRDI QIDQ6095380
Nadjib Boussetila, Unnamed Author
Publication date: 8 September 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-023-02403-w
Tikhonov regularizationill-posed problemsGauss-Legendre quadratureLavrentiev regularizationtwo-dimensional integral equations of the first kind
Numerical methods for ill-posed problems for integral equations (65R30) Linear operators and ill-posed problems, regularization (47A52)
Cites Work
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- Projected Tikhonov regularization method for Fredholm integral equations of the first kind
- Regularization theory for ill-posed problems. Selected topics
- Quadrature based collocation methods for integral equations of the first kind
- Numerical solution of two-dimensional weakly singular stochastic integral equations on non-rectangular domains via radial basis functions
- Linear integral equations. Theory and technique.
- Multidimensional integral equations and inequalities
- Numerical solution of two dimensional stochastic Volterra-Fredholm integral equations via operational matrix method based on hat functions
- Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets
- Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order
- Numerical solution of two-dimensional stochastic Fredholm integral equations on hypercube domains via meshfree approach
- Approximate solution of two-dimensional Fredholm integral equation of the first kind using wavelet base method
- Regularized collocation method for Fredholm integral equations of the first kind
- A fast multiscale Galerkin method for the first kind ill-posed integral equations via iterated regularization
- Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet
- A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations
- Integral equation models for image restoration: high accuracy methods and fast algorithms
- On the method of Lavrentiev regularization for nonlinear ill-posed problems
- Multiscale Methods for Fredholm Integral Equations
- On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
- An introduction to the mathematical theory of inverse problems
- Linear integral equations
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