Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel

DOI10.1007/s40096-018-0243-7zbMath1407.65329OpenAlexW2791876403MaRDI QIDQ1992077

Mohsen Rabbani, Amir Ali Tabatabai-adnani, Mandana Tamizkar

Publication date: 2 November 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-018-0243-7

zbMATH Keywords

integral equationintegro-differential equationLegendre polynomialwavelet basessingular kernelorthonormal

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for integral equations (65R20) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral equations with kernels of Cauchy type (45E05)

Related Items (5)

Solvability of infinite system of nonlinear singular integral equations in the C(Itimes I, c) space and modified semi-analytic method to find a closed-form of solution ⋮ Existence of solutions for nonlinear integral equations in tempered sequence spaces via generalized Darbo-type theorem ⋮ A fixed point theorem using condensing operators and its applications to Erdelyi--Kober bivariate fractional integral equations ⋮ Error asymptotic expansion for the numerical approximation of logarithmic-kernel integral equations on closed curves ⋮ Generalization of Darbo-Type Fixed Point Theorem and Applications to Integral Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical and analytical study for fourth-order integro-differential equations using a pseudospectral method
• Hybrid Euler-Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations
• On the numerical treatment of the singular integral equation of the second kind
• Solving singular integral equations using Gaussian quadrature and overdetermined system
• Approximate solution of singular integral equations.
• Solving Cauchy singular integral equations by using general quadrature- collocation nodes
• Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method
• On boundary integral equations for crack problems
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• On approximation methods for the solution of one dimensional singular integral equations
• A modification for solving Fredholm‐Hammerstein integral equation by using wavelet basis
• Using orthonormal wavelet basis in Petrov‐Galerkin method for solving Fredholm integral equations of the second kind

This page was built for publication: Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel