Fourier series approximation for periodic solution of system of integral equations using Szego–Bernstein weights

DOI10.1080/00207160802380934zbMath1197.65226OpenAlexW4249649513MaRDI QIDQ5747693

A. Hosseyni, S. M. Hashemiparast, Hassan Fallahgoul

Publication date: 14 September 2010

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

Full work available at URL: https://doi.org/10.1080/00207160802380934

zbMATH Keywords

numerical examplesperiodic solutionFourier seriessystem of integral equationsGauss quadrature rulesSzegő-Bernstein weights

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Periodic solutions of integral equations (45M15) Systems of nonsingular linear integral equations (45F05)

Related Items

Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind ⋮ Collocation method for solving systems of Fredholm and Volterra integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-grid dynamic iteration for parabolic equations
• Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor
• How to generate unknown orthogonal polynomials out of known orthogonal polynomials
• Analytical approximations and Padé approximants for Volterra's population model
• Solving frontier problems of physics: the decomposition method
• Periodic and almost periodic solutions of integral equations
• The diffusion-Brusselator equation
• Exact solutions to nonlinear diffusion equations obtained by the decomposition method
• Weighted integration of periodic functions on the real line.
• Generalized Christoffel functions and error of positive quadrature
• Convergence of approximate solution of system of Fredholm integral equations
• Computational Methods for Integral Equations
• A New Approach to the Gas Dynamics Equation: An Application of the Decomposition Method
• Linear integral equations