Esmail Babolian

Affiliations:
  • Kharazmi University, Department of Mathematics, Tehran, Iran


According to our database1, Esmail Babolian authored at least 82 papers between 1989 and 2020.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2020
An iterative shifted Chebyshev method for nonlinear stochastic Itô-Volterra integral equations.
J. Comput. Appl. Math., 2020

An extended block Golub-Kahan algorithm for large algebraic and differential matrix Riccati equations.
Comput. Math. Appl., 2020

An efficient collocation method with convergence rates based on Müntz spaces for solving nonlinear fractional two-point boundary value problems.
Comput. Appl. Math., 2020

Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two - point boundary value problems.
Appl. Math. Comput., 2020

2019
Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations.
J. Comput. Appl. Math., 2019

Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations.
J. Comput. Appl. Math., 2019

LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations.
Comput. Appl. Math., 2019

Radial basis functions method for solving the fractional diffusion equations.
Appl. Math. Comput., 2019

Fractional pseudospectral integration/differentiation matrix and fractional differential equations.
Appl. Math. Comput., 2019

2018
Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations.
Numer. Algorithms, 2018

Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation.
J. Comput. Phys., 2018

Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique.
Appl. Math. Comput., 2018

A collocation method for fractional diffusion equation in a long time with Chebyshev functions.
Appl. Math. Comput., 2018

2017
A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations.
Numer. Algorithms, 2017

Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation.
Numer. Algorithms, 2017

Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method.
J. Comput. Appl. Math., 2017

Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet.
J. Comput. Appl. Math., 2017

A splitting iterative method for solving second kind integral equations in reproducing kernel spaces.
J. Comput. Appl. Math., 2017

2016
Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials.
J. Comput. Appl. Math., 2016

Error analysis of reproducing kernel Hilbert space method for solving functional integral equations.
J. Comput. Appl. Math., 2016

2015
Erratum to: An adaptive weak continuous Euler-Maruyama method for stochastic delay differential equations.
Numer. Algorithms, 2015

An adaptive weak continuous Euler-Maruyama method for stochastic delay differential equations.
Numer. Algorithms, 2015

Some error estimates for solving Volterra integral equations by using the reproducing kernel method.
J. Comput. Appl. Math., 2015

A numerical scheme for space-time fractional advection-dispersion equation.
CoRR, 2015

2012
He's homotopy perturbation method: An effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations.
Math. Comput. Model., 2012

2011
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., 2011

The approximate solution of a class of Fredholm integral equations with a weakly singular kernel.
J. Comput. Appl. Math., 2011

A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions.
Comput. Math. Appl., 2011

2010
Analytic solutions to diffusion equations.
Math. Comput. Model., 2010

Numerical computation of the Riemann zeta function and prime counting function by using Gauss-Hermite and Gauss-Laguerre quadratures.
Int. J. Comput. Math., 2010

System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method.
Comput. Math. Appl., 2010

An expansion-iterative method for numerically solving Volterra integral equation of the first kind.
Comput. Math. Appl., 2010

Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations.
Comput. Math. Appl., 2010

An interpolation degenerate kernel method for eigenvalue problems of a class of non-compact operators.
Appl. Math. Lett., 2010

2009
Some notes on using the homotopy perturbation method for solving time-dependent differential equations.
Math. Comput. Model., 2009

Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions.
Comput. Math. Appl., 2009

2008
Using triangular orthogonal functions for solving Fredholm integral equations of the second kind.
Appl. Math. Comput., 2008

A numerical method for solving a class of functional and two dimensional integral equations.
Appl. Math. Comput., 2008

2007
Numerical implementation of the Adomian decomposition method for nonlinear Volterra integral equations of the second kind.
Int. J. Comput. Math., 2007

Numerical solution of linear Fredholm integral equations using sine-cosine wavelets.
Int. J. Comput. Math., 2007

Comparison between the homotopy perturbation method and the sine-cosine wavelet method for solving linear integro-differential equations.
Comput. Math. Appl., 2007

Application of He's homotopy perturbation method to nonlinear integro-differential equations.
Appl. Math. Comput., 2007

Numerical solutions of the nonlinear integro-differential equations: Wavelet-Galerkin method and homotopy perturbation method.
Appl. Math. Comput., 2007

Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method.
Appl. Math. Comput., 2007

Using direct method for solving variational problems via triangular orthogonal functions.
Appl. Math. Comput., 2007

Wavelet moment method for solving Fredholm integral equations of the first kind.
Appl. Math. Comput., 2007

A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type.
Appl. Math. Comput., 2007

Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration.
Appl. Math. Comput., 2007

Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration.
Appl. Math. Comput., 2007

A modification of pseudo-spectral method for solving a linear ODEs with singularity.
Appl. Math. Comput., 2007

2006
Hybrid Fourier and block-pulse functions for applications in the calculus of variations.
Int. J. Comput. Math., 2006

Numerical solution of linear integro-differential equation by using sine-cosine wavelets.
Appl. Math. Comput., 2006

On numerical integration methods with T-distribution weight function.
Appl. Math. Comput., 2006

Application of Gauss quadrature rule in finding bounds for solution of linear systems of equations.
Appl. Math. Comput., 2006

Numerical solution of fuzzy max-min systems.
Appl. Math. Comput., 2006

2005
Restarted Adomian method for nonlinear differential equations.
Int. J. Comput. Math., 2005

Restarted Adomian method for system of nonlinear Volterra integral equations.
Appl. Math. Comput., 2005

On numerical improvement of Gauss-Lobatto quadrature rules.
Appl. Math. Comput., 2005

Solving differential equations by decomposition method.
Appl. Math. Comput., 2005

On numerical improvement of Gauss-Legendre quadrature rules.
Appl. Math. Comput., 2005

Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method.
Appl. Math. Comput., 2005

Numerical implementation of Adomian decomposition method for linear Volterra integral equations of the second kind.
Appl. Math. Comput., 2005

2004
Solution of the system of ordinary differential equations by Adomian decomposition method.
Appl. Math. Comput., 2004

Restarted Adomian method for integral equations.
Appl. Math. Comput., 2004

New method for calculating Adomian polynomials.
Appl. Math. Comput., 2004

Numerically solution of fuzzy differential equations by Adomian method.
Appl. Math. Comput., 2004

Numerical implementation of Adomian decomposition method.
Appl. Math. Comput., 2004

The decomposition method applied to systems of Fredholm integral equations of the second kind.
Appl. Math. Comput., 2004

On the decomposition method for system of linear equations and system of linear Volterra integral equations.
Appl. Math. Comput., 2004

Solution of a system of nonlinear equations by Adomian decomposition method.
Appl. Math. Comput., 2004

A new computational method for Laplace transforms by decomposition method.
Appl. Math. Comput., 2004

2003
Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method.
Appl. Math. Comput., 2003

An alternate algorithm for computing Adomian polynomials in special cases.
Appl. Math. Comput., 2003

Solution of a system of Volterra integral equations of the first kind by Adomian method.
Appl. Math. Comput., 2003

Restarted Adomian method for algebraic equations.
Appl. Math. Comput., 2003

Reducing index, and pseudospectral methods for differential-algebraic equations.
Appl. Math. Comput., 2003

Solving concrete examples by Adomian method.
Appl. Math. Comput., 2003

2002
A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution.
Appl. Math. Comput., 2002

On the order of convergence of Adomian method.
Appl. Math. Comput., 2002

Solving the problem of biological species living together by Adomian decomposition method.
Appl. Math. Comput., 2002

Solution of nonlinear equations by modified adomian decomposition method.
Appl. Math. Comput., 2002

1989
Parallel solution of Fredholm integral equations.
Parallel Comput., 1989


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