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- Sohrab Effati, Reza Buzhabadi
- Neural Computing and Applications
- 2010

In this paper, a novel method based on feed-forward neural networks is presented for solving Fredholm integral equations of the second kind. In the present approach, we first approximate the unknown function based on neural networks, then substitute the approximate function in the appropriate error function of the integral equation, and finally train the… (More)

- H. Hosseini Fadravi, H. HOSSEINI, R. BUZHABADI
- 2012

In this paper, homotopy analysis method is directly extended to investigate nth order semi-differential equations and to derive their numerical solutions which is introduced by replacing some integer-order space derivatives by fractional derivatives. The fractional derivatives are described in the Caputo sense. So the homotopy analysis method for… (More)

This paper presents, an efficient approach for solving Euler-Lagrange Equation which arises from calculus of variations. Homotopy analysis method to find an approximate solution of variational problems is proposed. An optimal value of the convergence control parameter is given through the square residual error. By minimizing the square residual error, the… (More)

- Faezeh Toutounian, Reza Buzhabadi
- Applied Mathematics and Computation
- 2017

- Hadi Hosseini Fadravi, Reza Buzhabadi, Hassan Saberi Nik
- 2014

ss as: H s, Alex and hosti 013.12.0 Abstract This paper deals with the solutions of fuzzy Fredholm integral equations using neural networks. Based on the parametric form of a fuzzy number, a Fredholm fuzzy integral equation converts to two systems of integral equations of the second kind in the crisp case. This method employs a growing neural network as the… (More)

The homotopy analysis method HAM is employed to obtain symbolic approximate solutions for nonlinear coupled equations with parameters derivative. These nonlinear coupled equations with parameters derivative contain many important mathematical physics equations and reaction diffusion equations. By choosing different values of the parameters in general formal… (More)

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