Legendre–Galerkin Methods for Third Kind VIEs and CVIEs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01187-z
Abstract: The main purpose of this paper is to present a spectral Legendre–Galerkin method for solving Volterra integral equations of the third kind. When the operator associated with the equivalent Volterra integral equations of second kind… read more here.
Keywords: kind; legendre galerkin; method; third kind ... See more keywords
Legendre Spectral Projection Methods for Hammerstein Integral Equations with Weakly Singular Kernel
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DOI: 10.1007/s40819-018-0580-0
Abstract: In this paper, we consider the Legendre Galerkin and Legendre collocation methods for solving the Fredholm–Hammerstein integral equation with weakly singular kernels. We evaluate the convergence rates for both the methods in both $$L^2$$L2 and… read more here.
Keywords: spectral projection; legendre galerkin; legendre spectral; iterated legendre ... See more keywords
Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem
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DOI: 10.1016/j.apnum.2021.07.023
Abstract: Abstract A Legendre-Galerkin Chebyshev collocation method is presented for the parabolic inverse problem with control parameters. Optimal order of convergence of the semi-discrete method is obtained in L 2 -norm for the nonlinear term being… read more here.
Keywords: chebyshev collocation; galerkin chebyshev; legendre galerkin; method ... See more keywords
Unsupervised Legendre–Galerkin Neural Network for Solving Partial Differential Equations
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DOI: 10.1109/access.2023.3244681
Abstract: In recent years, machine learning methods have been used to solve partial differential equations (PDEs) and dynamical systems, leading to the development of a new research field called scientific machine learning, which combines techniques such… read more here.
Keywords: neural network; partial differential; machine learning; differential equations ... See more keywords