Homotopy Perturbation Method (HPM) for Solving Nonlinear Volterra Hammerstein Integral Equations

a comparison between the homotopy perturbation method and adomian’s decomposition method for solving nonlinear volterra integral equations

in this paper, we conduct a comparative study between the homotopy perturbation method (hpm) and adomian’s decomposition method (adm) for analytic treatment of nonlinear volterra integral equations, and we show that the hpm with a specific convex homotopy is equivalent to the adm for these type of equations.

A comparison between the Homotopy Perturbation Method and Adomian’s Decomposition Method for Solving Nonlinear Volterra Integral Equations

In this paper, we conduct a comparative study between the homotopy perturbation method (HPM) and Adomian’s decomposition method (ADM) for analytic treatment of nonlinear Volterra integral equations, and we show that the HPM with a specific convex homotopy is equivalent to the ADM for these type of equations.

Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method

Lagrange Functions Method for Solving Nonlinear Hammerstein Fredholm-Volterra Integral Equations

A numerical method for solving nonlinear Fredholm-Volterra integral equations is presented. The method is based upon Lagrange functions approximations. These functions together with the Gaussian quadrature rule are then utilized to reduce the Fredholm-Volterra integral equations to the solution of algebraic equations. Some examples are included to demonstrate the validity and applicability of t...

A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem

The nonlinear integral equations arise in the theory of parabolic boundary value problems, engineering, various mathematical physics, and theory of elasticity 1–3 . In recent years, several analytical and numerical methods of this kind of problems have been presented 4, 5 . Analytically, the decomposition methods are used in 6, 7 . The classical method of successive approximations was introduce...