Yazar "Pourgholi, Reza" için listeleme
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Combining genetic algorithm and Sinc-Galerkin method for solving an inverse diffusion problem
Pourgholi, Reza; Mazraeh, Hassan Dana; Houlari, Tahereh (Işık University Press, 2017)A numerical approach combining the use of a genetic algorithm with the solution of the Sinc-Galerkin method is proposed for the determination of an unknown time-dependent diffusivity a(t) in an inverse diffusion problem ... -
Determination of a nonlinear source term in a reaction-diffusion equation by using finite element method and radial basis functions method
Zeidabadi, Hamed; Pourgholi, Reza; Hosseini, Abbas (Işık University Press, 2022)In this paper, two numerical methods are presented to solve a nonlinear inverse parabolic problem of determining the unknown reaction term in the scalar reactiondiffusion equation. In the first method, the finite element ... -
An efficient method for a class of integro-differential equations with a weakly singular kernel
Azimi, Ruhangiz; Pourgholi, Reza; Tahmasbi, Ali (Işık University Press, 2021)In this work, a class of volterra integro-differential equation with a weakly singular kernel is discussed. The shifted Legendre Tau method is introduced for finding the unknown function. The proposed method is based on ... -
Haar basis method to solve some inverse problems for two-dimensional parabolic and hyperbolic equations
Pourgholi, Reza; Foadian, Saedeh; Esfahani, Amin (Işık University Press, 2013)A numerical method consists of combining Haar basis method and Tikhonov regularization method. We apply the method to solve some inverse problems for twodimensional parabolic and hyperbolic equations using noisy data. In ... -
A numerical solution of an inverse parabolic problem
Pourgholi, Reza; Abtahi, Mortaza; Tabasi, Seyed Hashem (Işık University Press, 2012-05-07)In this paper, we will first study the existence and uniqueness of the solution of an inverse problem for a linear equation with non-linear boundary conditions (radiation terms), via an auxiliary problem. Furthermore, a ... -
Numerical solution of the inverse Gardner equation
Foadian, Saedeh; Pourgholi, Reza; Gholami Baladezaei, Mohammad (Işık University Press, 2023-04)In this paper, the numerical solution of the inverse Gardner equation will be considered. The Haar wavelet collocation method (HWCM) will be used to determine the unknown boundary condition which is estimated from an ... -
Resolution of an inverse parabolic problem using sinc-galerkin method
Pourgholi, Reza; Molai, Ali Abbasi; Houlari, Tahereh (Işık University Press, 2013-03-27)In this paper, a numerical method is proposed to solve an Inverse Heat Conduction Problem (IHCP) using noisy data based on Sinc-Galerkin method. A stable numerical solution is determined for the problem. To do this, we use ... -
Solving a nonlinear inverse problem of identifying an unknown source term in a reaction-diffusion equation by adomian decomposition method
Pourgholi, Reza; Saeedi, Akram (Işık University Press, 2016-04-05)We consider the inverse problem of finding the nonlinear source for nonlinear Reaction-Diffusion equation whenever the initial and boundary condition are given. We investigate the numerical solution of this problem by using ... -
Solving inverse partial differential equations problems by using teaching learning based optimization algorithm
Boroujeni, Ahmad Aliyari; Pourgholi, Reza; Tabasi, Seyed Hashem (Işık University Press, 2024-04)In this paper, a numerical approach is combined with teaching learning based optimization algorithm (TLBO) to solve problems of inverse partial differential equations. The most important point in the way we have presented ...
