Numerical solution of linear Fredholm integral equations using sine–cosine wavelets

DOI10.1080/00207160701242300zbMath1122.65130OpenAlexW2087482043MaRDI QIDQ5758194

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Publication date: 3 September 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701242300

zbMATH Keywords

numerical examplesquadrature formulaelinear integral equationsoperational matrixsine-cosine waveletsFourier functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Systems of nonsingular linear integral equations (45F05)

Related Items (8)

A two-stage method for piecewise-constant solution for Fredholm integral equations of the first kind ⋮ Numerical results for linear Fredholm integral equations of the first kind over surfaces in three dimensions ⋮ Solving Fredholm integral equation of the first kind using Gaussian process regression ⋮ Numerical solution of time-varying delay systems by Chebyshev wavelets ⋮ Unnamed Item ⋮ Analysis of time-varying delay systems by hybrid of block-pulse functions and biorthogonal multiscaling functions ⋮ Sine–cosine wavelets operational matrix method for fractional nonlinear differential equation ⋮ Unnamed Item

Cites Work

• Numerical solution of linear integro-differential equation by using sine-cosine wavelets
• Shifted Legendre direct method for variational problems
• Laguerre series direct method for variational problems
• A Walsh series direct method for solving variational problems
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions.
• Solving second kind integral equations with hybrid Chebyshev and block-pulse functions
• The operational matrix of integration for Bessel functions
• Hybrid Fourier and block-pulse functions for applications in the calculus of variations
• Shifted Chebyshev direct method for solving variational problems
• Computational Methods for Integral Equations
• Fourier series direct method for variational problems
• Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
• Haar wavelet method for solving lumped and distributed-parameter systems

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