Two-dimensional wavelets for numerical solution of integral equations

DOI10.1186/2251-7456-6-5zbMath1264.65211OpenAlexW2109409405WikidataQ59289715 ScholiaQ59289715MaRDI QIDQ1953762

Hesam-Aldien Derili, Asghar Arzhang, Saeed Sohrabi

Publication date: 10 June 2013

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

Full work available at URL: https://doi.org/10.1186/2251-7456-6-5

zbMATH Keywords

linear systemstwo-dimensional Fredholm integral equationstwo-dimensional Haar wavelets

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Fredholm integral equations (45B05)

Related Items (10)

A novel numerical method of two-dimensional Fredholm integral equations of the second kind ⋮ A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method ⋮ A wavelet based rationalized approach for the numerical solution of differential and integral equations ⋮ Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions ⋮ A hybrid reptile search algorithm and Levenberg-Marquardt algorithm based Haar wavelets to solve regular and singular boundary value problems ⋮ A Galerkin method with two-dimensional Haar basis functions for the computation of the Karhunen-Loève expansion ⋮ An efficient solution of system of generalized Abel integral equations using Bernstein polynomials wavelet bases ⋮ Solution of multi-dimensional Fredholm equations using Legendre scaling functions ⋮ On the numerical treatment and analysis of two-dimensional Fredholm integral equations using quasi-interpolant ⋮ Chebyshev spectral projection methods for two-dimensional Fredholm integral equations of second kind

Cites Work

• Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
• A COMPUTATIONAL METHOD FOR SOLVING TWO-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
• Haar wavelet method for solving lumped and distributed-parameter systems
• The Numerical Solution of Integral Equations of the Second Kind
• A new differential transformation approach for two-dimensional Volterra integral equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Two-dimensional wavelets for numerical solution of integral equations