Study on convergence of hybrid functions method for solution of nonlinear integral equations

DOI10.1080/00036811.2011.632769zbMath1262.65201OpenAlexW1987814251WikidataQ58284598 ScholiaQ58284598MaRDI QIDQ4916343

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Publication date: 22 April 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.632769

zbMATH Keywords

convergence analysisnonlinear integral equationLegendre polynomialsblock-pulse functionshybrid functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20)

Related Items

Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations ⋮ Numerical solutions of Duffing van der Pol equations on the basis of hybrid functions ⋮ Study on convergence and error of a numerical method for solving systems of nonlinear Fredholm–Volterra integral equations of Hammerstein type ⋮ Approximate solution of some nonlinear classes of Abel integral equations using hybrid expansion ⋮ An efficient method based on hybrid functions for Fredholm integral equation of the first kind with convergence analysis ⋮ An iterative numerical method for Fredholm-Volterra integral equations of the second kind

Cites Work

• Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method
• Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations
• Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials
• Solving second kind integral equations with hybrid Fourier and block-pulse functions
• Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
• Hybrid function method for solving Fredholm and Volterra integral equations of the second kind
• Numerical solution of the controlled Duffing oscillator by hybrid functions
• 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
• Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
• Wavelet Galerkin method for numerical solution of nonlinear integral equation
• Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series
• Computational Methods for Integral Equations
• A hybrid analysis direct method in the calculus of variations

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