Esmail Babolian

Publication Activity (10 Years)

Years Active: 1989-2020
Publications (10 Years): 25

Top Topics

Error Estimates

Numerical Solution

Feed Forward Artificial Neural Networks

Boundary Value Problem

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

Numer. Algorithms

Publications

Shervan Erfani, Shahnam Javadi, Esmail Babolian
An efficient collocation method with convergence rates based on Müntz spaces for solving nonlinear fractional two-point boundary value problems. Comput. Appl. Math. 39 (4) (2020)
Zahra Asgari, Faezeh Toutounian, Esmail Babolian, Emran Tohidi
An extended block Golub-Kahan algorithm for large algebraic and differential matrix Riccati equations. Comput. Math. Appl. 79 (8) (2020)
Shervan Erfani, Esmail Babolian, Shahnam Javadi
Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two - point boundary value problems. Appl. Math. Comput. 364 (2020)
M. S. Barikbin, A. R. Vahidi, T. Damercheli, Esmail Babolian
An iterative shifted Chebyshev method for nonlinear stochastic Itô-Volterra integral equations. J. Comput. Appl. Math. 378 (2020)
Zahra Asgari, Faezeh Toutounian, Esmail Babolian, Emran Tohidi
LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. Comput. Appl. Math. 38 (3) (2019)
Saeid Gholami, Esmail Babolian, Mohammad Javidi
Fractional pseudospectral integration/differentiation matrix and fractional differential equations. Appl. Math. Comput. 343 (2019)
A. Yousefi, Shahnam Javadi, Esmail Babolian, Eslam Moradi
Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations. J. Comput. Appl. Math. 358 (2019)
Fahimeh Saberi Zafarghandi, Maryam Mohammadi, Esmail Babolian, Shahnam Javadi
Radial basis functions method for solving the fractional diffusion equations. Appl. Math. Comput. 342 (2019)
Shervan Erfani, Esmail Babolian, Shahnam Javadi, Mostafa Shamsi
Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations. J. Comput. Appl. Math. 348 (2019)
M. Yarmohammadi, Shahnam Javadi, Esmail Babolian
Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation. J. Comput. Phys. 359 (2018)
Parisa Rahimkhani, Yadollah Ordokhani, Esmail Babolian
Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations. Numer. Algorithms 77 (4) (2018)
A. Baseri, Saeid Abbasbandy, Esmail Babolian
A collocation method for fractional diffusion equation in a long time with Chebyshev functions. Appl. Math. Comput. 322 (2018)
Mohsen Khaleghi, Maryam Talebi Moghaddam, Esmail Babolian, Saeid Abbasbandy
Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique. Appl. Math. Comput. 331 (2018)
Parisa Rahimkhani, Yadollah Ordokhani, Esmail Babolian
A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Numer. Algorithms 74 (1) (2017)
Zeinab Taheri, Shahnam Javadi, Esmail Babolian
Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method. J. Comput. Appl. Math. 321 (2017)
Parisa Rahimkhani, Yadollah Ordokhani, Esmail Babolian
Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet. J. Comput. Appl. Math. 309 (2017)
Esmail Babolian, Danial Hamedzadeh
A splitting iterative method for solving second kind integral equations in reproducing kernel spaces. J. Comput. Appl. Math. 326 (2017)
Mostafa Jani, Esmail Babolian, Shahnam Javadi, D. Bhatta
Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation. Numer. Algorithms 75 (4) (2017)
Esmail Babolian, Shahnam Javadi, Eslam Moradi
Error analysis of reproducing kernel Hilbert space method for solving functional integral equations. J. Comput. Appl. Math. 300 (2016)
Shahnam Javadi, Esmail Babolian, Zeinab Taheri
Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials. J. Comput. Appl. Math. 303 (2016)
Mostafa Jani, Esmail Babolian, Shahnam Javadi, D. Bhatta
Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation. CoRR (2015)
Bahar Akhtari, Esmail Babolian, Ali Foroush Bastani
An adaptive weak continuous Euler-Maruyama method for stochastic delay differential equations. Numer. Algorithms 69 (1) (2015)
Shahnam Javadi, Esmail Babolian, Mostafa Jani
A numerical scheme for space-time fractional advection-dispersion equation. CoRR (2015)
R. Ketabchi, Reza Mokhtari, Esmail Babolian
Some error estimates for solving Volterra integral equations by using the reproducing kernel method. J. Comput. Appl. Math. 273 (2015)
Bahar Akhtari, Esmail Babolian, Ali Foroush Bastani
Erratum to: An adaptive weak continuous Euler-Maruyama method for stochastic delay differential equations. Numer. Algorithms 69 (2) (2015)
Esmail Babolian, Najmeh Dastani
He's homotopy perturbation method: An effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations. Math. Comput. Model. 55 (3-4) (2012)
Esmail Babolian, Khosrow Maleknejad, Mohammad Mordad, Bijan Rahimi
A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix. J. Comput. Appl. Math. 235 (14) (2011)
Esmail Babolian, Mohammad Mordad
A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions. Comput. Math. Appl. 62 (1) (2011)
Esmail Babolian, A. Arzhang Hajikandi
The approximate solution of a class of Fredholm integral equations with a weakly singular kernel. J. Comput. Appl. Math. 235 (5) (2011)
Esmail Babolian, A. Arzhang Hajikandi
Numerical computation of the Riemann zeta function and prime counting function by using Gauss-Hermite and Gauss-Laguerre quadratures. Int. J. Comput. Math. 87 (15) (2010)
Esmail Babolian, Khosrow Maleknejad, M. Roodaki, H. Almasieh
Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations. Comput. Math. Appl. 60 (6) (2010)
Mahmoud Paripour, Esmail Babolian, Jamshid Saeidian
Analytic solutions to diffusion equations. Math. Comput. Model. 51 (5-6) (2010)
H. Majidian, Esmail Babolian
An interpolation degenerate kernel method for eigenvalue problems of a class of non-compact operators. Appl. Math. Lett. 23 (8) (2010)
M. Saravi, Esmail Babolian, R. England, M. Bromilow
System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method. Comput. Math. Appl. 59 (4) (2010)
Zahra Masouri, Esmail Babolian, Saeed Hatamzadeh-Varmazyar
An expansion-iterative method for numerically solving Volterra integral equation of the first kind. Comput. Math. Appl. 59 (4) (2010)
Esmail Babolian, A. Azizi, Jamshid Saeidian
Some notes on using the homotopy perturbation method for solving time-dependent differential equations. Math. Comput. Model. 50 (1-2) (2009)
Esmail Babolian, Zahra Masouri, Saeed Hatamzadeh-Varmazyar
Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions. Comput. Math. Appl. 58 (2) (2009)
Esmail Babolian, Saeid Abbasbandy, F. Fattahzadeh
A numerical method for solving a class of functional and two dimensional integral equations. Appl. Math. Comput. 198 (1) (2008)
Esmail Babolian, Hamid Reza Marzban, M. Salmani
Using triangular orthogonal functions for solving Fredholm integral equations of the second kind. Appl. Math. Comput. 201 (1-2) (2008)
Esmail Babolian, Reza Mokhtari, M. Salmani
Using direct method for solving variational problems via triangular orthogonal functions. Appl. Math. Comput. 191 (1) (2007)
M. Ghasemi, M. Tavassoli Kajani, Esmail Babolian
Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method. Appl. Math. Comput. 188 (1) (2007)
Esmail Babolian, F. Fattahzadeh
Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration. Appl. Math. Comput. 188 (1) (2007)
Esmail Babolian, F. Fattahzadeh
Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration. Appl. Math. Comput. 188 (1) (2007)
M. Ghasemi, Esmail Babolian, M. Tavassoli Kajani
Numerical solution of linear Fredholm integral equations using sine-cosine wavelets. Int. J. Comput. Math. 84 (7) (2007)
M. Tavassoli Kajani, M. Ghasemi, Esmail Babolian
Comparison between the homotopy perturbation method and the sine-cosine wavelet method for solving linear integro-differential equations. Comput. Math. Appl. 54 (7-8) (2007)
Esmail Babolian, F. Fattahzadeh, Effat Golpar-Raboky
A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type. Appl. Math. Comput. 189 (1) (2007)
Esmail Babolian, M. Bromilow, R. England, M. Saravi
A modification of pseudo-spectral method for solving a linear ODEs with singularity. Appl. Math. Comput. 188 (2) (2007)
M. Ghasemi, M. Tavassoli Kajani, Esmail Babolian
Numerical solutions of the nonlinear integro-differential equations: Wavelet-Galerkin method and homotopy perturbation method. Appl. Math. Comput. 188 (1) (2007)
Esmail Babolian, Taher Lotfi, Mahmoud Paripour
Wavelet moment method for solving Fredholm integral equations of the first kind. Appl. Math. Comput. 186 (2) (2007)
Shahnam Javadi, A. Davari, Esmail Babolian
Numerical implementation of the Adomian decomposition method for nonlinear Volterra integral equations of the second kind. Int. J. Comput. Math. 84 (1) (2007)
M. Ghasemi, M. Tavassoli Kajani, Esmail Babolian
Application of He's homotopy perturbation method to nonlinear integro-differential equations. Appl. Math. Comput. 188 (1) (2007)
M. Ghasemi, Esmail Babolian, M. Tavassoli Kajani
Hybrid Fourier and block-pulse functions for applications in the calculus of variations. Int. J. Comput. Math. 83 (8&9) (2006)
Esmail Babolian, Mehdi Dehghan, M. R. Eslahchi
Application of Gauss quadrature rule in finding bounds for solution of linear systems of equations. Appl. Math. Comput. 179 (2) (2006)
Saeid Abbasbandy, Esmail Babolian, Masoud Allame
Numerical solution of fuzzy max-min systems. Appl. Math. Comput. 174 (2) (2006)
Esmail Babolian, Mohammad Masjed-Jamei, M. R. Eslahchi, Mehdi Dehghan
On numerical integration methods with T-distribution weight function. Appl. Math. Comput. 174 (2) (2006)
M. Tavassoli Kajani, M. Ghasemi, Esmail Babolian
Numerical solution of linear integro-differential equation by using sine-cosine wavelets. Appl. Math. Comput. 180 (2) (2006)
Esmail Babolian, A. R. Vahidi, G. H. Asadi Cordshooli
Solving differential equations by decomposition method. Appl. Math. Comput. 167 (2) (2005)
Esmail Babolian, A. Davari
Numerical implementation of Adomian decomposition method for linear Volterra integral equations of the second kind. Appl. Math. Comput. 165 (1) (2005)
Esmail Babolian, H. Sadeghi Goghary, Shahnam Javadi, M. Ghasemi
Restarted Adomian method for nonlinear differential equations. Int. J. Comput. Math. 82 (1) (2005)
Esmail Babolian, Mohammad Masjed-Jamei, M. R. Eslahchi
On numerical improvement of Gauss-Legendre quadrature rules. Appl. Math. Comput. 160 (3) (2005)
H. Sadeghi Goghary, Shahnam Javadi, Esmail Babolian
Restarted Adomian method for system of nonlinear Volterra integral equations. Appl. Math. Comput. 161 (3) (2005)
Esmail Babolian, H. Sadeghi Goghary, Saeid Abbasbandy
Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method. Appl. Math. Comput. 161 (3) (2005)
M. R. Eslahchi, M. Masjed-Jamei, Esmail Babolian
On numerical improvement of Gauss-Lobatto quadrature rules. Appl. Math. Comput. 164 (3) (2005)
Esmail Babolian, Shahnam Javadi
New method for calculating Adomian polynomials. Appl. Math. Comput. 153 (1) (2004)
Esmail Babolian, H. Sadeghi Goghary, Shahnam Javadi
Numerically solution of fuzzy differential equations by Adomian method. Appl. Math. Comput. 149 (2) (2004)
Esmail Babolian, Shahnam Javadi, H. Sadeghi Goghary
Restarted Adomian method for integral equations. Appl. Math. Comput. 153 (2) (2004)
Esmail Babolian, Jafar Biazar, A. R. Vahidi
The decomposition method applied to systems of Fredholm integral equations of the second kind. Appl. Math. Comput. 148 (2) (2004)
Esmail Babolian, Jafar Biazar, A. R. Vahidi
Solution of a system of nonlinear equations by Adomian decomposition method. Appl. Math. Comput. 150 (3) (2004)
Jafar Biazar, Esmail Babolian, M. Rafiqul Islam
Solution of the system of ordinary differential equations by Adomian decomposition method. Appl. Math. Comput. 147 (3) (2004)
Esmail Babolian, A. Davari
Numerical implementation of Adomian decomposition method. Appl. Math. Comput. 153 (1) (2004)
Esmail Babolian, Jafar Biazar, A. R. Vahidi
A new computational method for Laplace transforms by decomposition method. Appl. Math. Comput. 150 (3) (2004)
Esmail Babolian, Jafar Biazar, A. R. Vahidi
On the decomposition method for system of linear equations and system of linear Volterra integral equations. Appl. Math. Comput. 147 (1) (2004)
Jafar Biazar, Esmail Babolian, G. Kember, A. Nouri, M. Rafiqul Islam
An alternate algorithm for computing Adomian polynomials in special cases. Appl. Math. Comput. 138 (2-3) (2003)
Jafar Biazar, M. Tango, Esmail Babolian, M. Rafiqul Islam
Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method. Appl. Math. Comput. 144 (2-3) (2003)
Jafar Biazar, Esmail Babolian, M. Rafiqul Islam
Solution of a system of Volterra integral equations of the first kind by Adomian method. Appl. Math. Comput. 139 (2-3) (2003)
Esmail Babolian, Jafar Biazar
Solving concrete examples by Adomian method. Appl. Math. Comput. 135 (1) (2003)
Esmail Babolian, Mohammad Mahdi Hosseini
Reducing index, and pseudospectral methods for differential-algebraic equations. Appl. Math. Comput. 140 (1) (2003)
Esmail Babolian, Shahnam Javadi
Restarted Adomian method for algebraic equations. Appl. Math. Comput. 146 (2-3) (2003)
Esmail Babolian, M. M. Hosseini
A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution. Appl. Math. Comput. 132 (2-3) (2002)
Esmail Babolian, Jafar Biazar
Solving the problem of biological species living together by Adomian decomposition method. Appl. Math. Comput. 129 (2-3) (2002)
Esmail Babolian, Jafar Biazar
On the order of convergence of Adomian method. Appl. Math. Comput. 130 (2-3) (2002)
Esmail Babolian, Jafar Biazar
Solution of nonlinear equations by modified adomian decomposition method. Appl. Math. Comput. 132 (1) (2002)
Esmail Babolian, L. M. Delves
Parallel solution of Fredholm integral equations. Parallel Comput. 12 (1) (1989)