Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method

DOI10.1016/j.chaos.2007.06.120zbMath1197.81053OpenAlexW2094095174MaRDI QIDQ712140

Bagher Keramati, Ahmad Golbabai

Publication date: 28 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.06.120

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (7)

Homotopy perturbation method for the mixed Volterra-Fredholm integral equations ⋮ An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind ⋮ Convergence of iterative methods applied to generalized Fisher equation ⋮ Homotopy perturbation method and Chebyshev polynomials for solving a class of singular and hypersingular integral equations ⋮ Common solution to a pair of nonlinear Fredholm and Volterra integral equations and nonlinear fractional differential equations ⋮ Improved variational iteration method for solving a class of nonlinear Fredholm integral equations ⋮ Non-uniform quasi-interpolation for solving Hammerstein integral equations

Cites Work

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• Homotopy-perturbation method for pure nonlinear differential equation
• Integration using He's homotopy perturbation method
• Modified homotopy perturbation method for solving Fredholm integral equations
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Comparison of homotopy perturbation method and homotopy analysis method
• An approximate solution technique not depending on small parameters: A special example
• Homotopy perturbation technique
• Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method
• Application of He's homotopy perturbation method to functional integral equations
• Homotopy perturbation method for thin film flow of a third-grade fluid down an inclined plane

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