Use of Legendre multiwavelets to solve Carleman type singular integral equations

DOI10.1016/j.apm.2017.11.008zbMath1480.65381OpenAlexW2771020449MaRDI QIDQ2295161

Swaraj Paul, Birendranath Mandel, Madan Mohan Panja

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.11.008

zbMATH Keywords

Cauchy type kernelLegendre multiwaveletmultiscale approximationCarleman type singular integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Integral equations with kernels of Cauchy type (45E05)

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Cites Work

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• Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets
• Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel
• On the numerical solution of Cauchy type singular integral equations and the determination of stress intensity factors in case of complex singularities
• Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets
• Numerical solution of various cases of Cauchy type singular integral equation
• Adaptive solution of partial differential equations in multiwavelet bases
• Solution of second kind integral equation with Cauchy type kernel using Daubechies scale function
• Collocation for Cauchy singular integral equations
• Some properties of symmetric-antisymmetric orthonormal multiwavelets
• Approximation Multivariate Distribution with Pair Copula Using the Orthonormal Polynomial and Legendre Multiwavelets Basis Functions
• On the Weighted Galerkin Method of Numerical Solution of Cauchy Type Singular Integral Equations
• On the Galerkin and Collocation Methods for a Cauchy Singular Integral Equation
• A numerical technique for the solution of singular integral equations of the second kind
• Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
• The Carleman Type Singular Integral Equations
• Ten Lectures on Wavelets
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• The Numerical Solution of Singular Integral Equations over $( - 1,1)$
• Integral Equation Methods and Numerical Solutions of Crack and Inclusion Problems in Planar Elastostatics
• Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
• Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
• Multiscale approximation of the solution of weakly singular second kind Fredholm integral equation in Legendre multiwavelet basis

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