Optimal homotopy asymptotic method for solving nonlinear Fredholm integral equations of second kind

DOI10.1016/j.amc.2012.04.059zbMath1278.65197OpenAlexW2065652075MaRDI QIDQ387468

Nargis Khan, Muhammad Sadiq Hashmi, Shaukat Iqbal

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.059

zbMATH Keywords

Fredholm integral equationsnonlinear equationsoptimal homotopy asymptotic method

Mathematics Subject Classification ID

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

Related Items (13)

Numerical investigation of Volterra integral equations of second kind using optimal homotopy asymptotic method ⋮ A modified analytical approach for fractional discrete KdV equations arising in particle vibrations ⋮ Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic ⋮ Comparison between Adomian decomposition method and optimal homotopy asymptotic method for a two moving boundaries problem ⋮ The optimal homotopy analysis method applied on nonlinear time‐fractional hyperbolic partial differential equation<scp>s</scp> ⋮ APPROXIMATE SOLUTION TO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS ⋮ Analytical solution of system of Volterra integral equations using OHAM ⋮ An algorithm: optimal homotopy asymptotic method for solutions of systems of second-order boundary value problems ⋮ .An optimal Galerkin-homotopy asymptotic method applied to the nonlinear second-order BVPs ⋮ A note on optimal homotopy asymptotic method for the solutions of fractional order heat- and wave-like partial differential equations ⋮ Optimal homotopy asymptotic method for solving the linear Fredholm integral equations of the first kind ⋮ Third-order approximate solution of chemical reaction-diffusion Brusselator system using optimal homotopy asymptotic method ⋮ Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind

Cites Work

• Unnamed Item
• Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method
• Application of optimal homotopy asymptotic method for the analytic solution of singular Lane-Emden type equation
• The approximate solution of a class of Fredholm integral equations with a weakly singular kernel
• Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method
• Half-sweep arithmetic mean method with composite trapezoidal scheme for solving linear Fredholm integral equations
• On approximation and numerical solution of Fredholm integral equations of second kind using quasi-interpolation
• Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations
• Harmonic wavelet method towards solution of the Fredholm type integral equations of the second kind
• Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
• Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method
• Numerical implementation of Adomian decomposition method
• Numerical solution for special nonlinear Fredholm integral equation by HPM

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