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Solving an inverse heat conduction problem using genetic algorithm: Sequential and multi-core parallelization approach

ISI Paper
Reza Pourgholi , Hassan Dana, Seyed Hashem Tabasi
Applied Mathematical Modelling - 7–8, 38, 1948–1958 - April, 2014 - DOI: 10.1016/j.apm.2013.10.019 .
Publication year: 2013

Solving an inverse initial-boundary-value problem by using basis function method

ISI Paper
Reza Pourgholi, Amin Esfahani, Hamideh Rahimi, S. Hashem Tabasi
Computational and Applied Mathematics - 1, 32, 27-40 - April, 2013 - DOI 10.1007/s40314-013-0005-y .
Publication year: 2013

An efficient numerical method for solving an inverse wave problem

ISI Paper
Reza Pourgholi, Amin Esfahani
IJCM - 3, 10, 1350009 (21 pages) -March, 2013 - DOI: 10.1142/S0219876213500096 .
Publication year: 2013

RESOLUTION OF AN INVERSE PROBLEM BY HAAR BASIS AND LEGENDRE WAVELET METHODS

ISI Paper
Reza Pourgholi, Amin Esfahani, Saedeh FOADIAN, SONA PAREHKAR
IJWMIP - 11, 5, 1350034 (21 pages) - January, 2013 - 2013 .
Publication year: 2013

Applications of Haar basis method for solving some ill-posed inverse problems

ISI Paper
R. Pourgholi, N. Tavallaie and S. Foadian
J. Math. Chem. - 8, 50, 2317-2337 - May, 2012 - .
Publication year: 2012

A nonlinear inverse problem with unknown radiation term

ISI Paper
H. Molhem , R. Pourgholi , M. Borghei
JAS - 4, 8, 474-478 - January, 2012 - .
Publication year: 2012

Existence and uniqueness of solution for a two dimensional nonlinear inverse diffusion problem

ISI Paper
M. Abtahi, R. Pourgholi, A. Shidfar
Nonlinear Analysis - , 74, 2462–2467 - February, 2011 - .
Publication year: 2011

Solving an Inverse Diffusion Problem Using Tikhonov Regularization Method

ISI Paper
R. Pourgholi and F. Torabi
JAS - 5, 7, 850-855 - January, 2011 - .
Publication year: 2011

A numerical technique for solving IHCPs using Tikhonov regularization method - Appl. Math. Modell

ISI Paper
R. Pourgholi, M. Rostamian
- 8, 34, 2102-2110. - January, 2010 - .
Publication year: 2010

A numerical method for solving a nonlinear inverse parabolic problem

ISI Paper
R. Pourgholi, M. Rostamian and M. Emamjome
Inverse Problems in Science and Engineering - 8, 18, 1151-1164 - January, 2010 - .
Publication year: 2010

Removal of Numerical Instability in the Solution of an Inverse Heat Conduction Problem

ISI Paper
R. Pourgholi, N. Azizi, Y.S. Gasimov, F. Aliev, H.K. Khalafi
Communications in Nonlinear Science and Numerical Simulation - 6, 14, 2664-2669 - January, 2009 - .
Publication year: 2009

A numerical solution technique for a one-dimensional inverse nonlinear parabolic problem

ISI Paper
A. Shidfar , M. Fakhraie, R. Pourgholi and M. Ebrahimi
Applied Mathematics and Computation - , 184, 308-315 - January, 2007 - .
Publication year: 2007

A numerical solution of an inverse parabolic problem with unknown boundary conditions

ISI Paper
M. Ebrahimian, R. Pourgholi, M. Emamjome and P. Reihani
Applied Mathematics and Computation - 1, 189, 228-234 - January, 2007 - .
Publication year: 2007

A Numerical Method for Solving of a Nonlinear Inverse Diffusion Problem

ISI Paper
A. Shidfar, R. Pourgholi and M. Ebrahimi
Computers and Mathematics with Applications - 52, , 1021-1030. - January, 2006 - .
Publication year: 2006

Numerical approximation of solution of an inverse heat conduction problem based on Legendre polynomials

ISI Paper
A. Shidfar and R. Pourgholi
Applied Mathematics and Computation - , 175, 1366-1374 - January, 2006 - .
Publication year: 2006

Application of finite difference method to analysis an ill-posed problem

ISI Paper
A. Shidfar and R. Pourgholi
Applied Mathematics and Computation - 2, 168, 1400-1408 - January, 2005 - .
Publication year: 2005

Real Valued Genetic Algorithm For Solving An Inverse Hyperbolic Problem: Multi-Core Parallelization Approach

Journal Paper
Reza Pourgholi, Amin Esfahani, Hassan Danaa
IJMMNO - , , Accepted for publication - November, 2013 - .
Publication year: 2013

Resolution of an inverse parabolic problem using Sinc-Galerkin method

Journal Paper
Reza Pourgholi, Ali Abbasi Molai, Tahereh Houlari
J. App. & Eng. Math. - 2, 3, 42-63 - October, 2013 - .
Publication year: 2013

A numerical algorithm for solving an inverse semilinear wave problem

Journal Paper
Reza Pourgholi, Amin Esfahani, Sunil Kumar
IJCSM - , , - April, 2013 - Accepted for publication .
Publication year: 2013

A numerical solution of a two-dimensional IHCP

Journal Paper
Reza Pourgholi, Amin Esfahani, Morteza Abtahi
JAMC - 1, 41, 61-79 - February, 2013 - DOI 10.1007/s12190-012-0592-6 .
Publication year: 2013

Haar Basis Method To Solve Some Inverse Problems For Two-Dimensional Parabolic And Hyperbolic Equations

Journal Paper
R. POURGHOLI, S. FOADIAN, A. ESFAHANI
J. App. & Eng. Math. - 1, 3, 10-32 - February, 2013 - .
Publication year: 2013

Dynamics of Solitary Waves of the Rosenau-RLW Equation

Journal Paper
Amin Esfahani, Reza Pourgholi
Differential Equations and Dynamical Systems - , , 10.1007/s12591-013-0174-6 - January, 2013 - .
Publication year: 2013

A Numerical Approach for Solving a Nonlinear Parabolic Problem

Journal Paper
R. Pourgholi and H. Molhem
S. A. B. M. - 5, 36, 677-686 - November, 2012 - (Abstracting and indexing:ZentralBlatt Math., Mathematical Reviews) .
Publication year: 2012

A numerical solution of an inverse parabolic problem

Journal Paper
R. Pourgholi, M. Abtahi, S. H. Tabasi
J. App. & Eng. Math. - 2, 2, pp. 195-209 -September, 2012 - .
Publication year: 2012

A numerical approach to solving an inverse parabolic problem with unknown control function

Journal Paper
Reza Pourgholi, Morteza Abtahi, S. Hashem tabasi
IJCSE - , , - September, 2012 - .
Publication year: 2012

Numerical solution of a two-dimensional IHCP based on Duhamel's principle, Journal of Advanced Research in Applied Mathematics

Journal Paper
Reza Pourgholi, Amin Esfahani, Akram Saeedi
JARAM - 3, 4, 50-65 - May, 2012 - .
Publication year: 2012

A Duhamel Integral Based Approach to Identify an Unknown Radiation Term in a Heat Equation with Non-linear Boundary Condition

Journal Paper
R. Pourgholi, M. Abtahi and A. Saeedi
AAM - 1, 7, 52-70 - May, 2012 - .
Publication year: 2012

A numerical solution of two dimensional IHCPs by using ADI method and Tikhonov regularization method,

Journal Paper
R. Pourgholi, F. Torabi, S. H. Tabasi
Journal of Advanced Research in Scientific Computing, - 3, 3, 55-68 - July, 2011 - .
Publication year: 2011

Investigation of well-posedness of solution for an IHCP, JARAM

Journal Paper
R. Pourgholi and H. Tabasi
JARAM - 2, 2, 15-26 - January, 2010 - .
Publication year: 2010

A Numerical Algorithm for Solving an Inverse Nonlinear Parabolic Problem

Journal Paper
R. Pourgholi, H. Molhem
Journal of Information and Computing Science - 4, 5, 279-286 - January, 2010 - .
Publication year: 2010

Determination Of Thermal Conductivity In A Inverse Heat Conduction Problem

Journal Paper
H. Molhem, R. Pourgholi, M. Borghei
International Journal of Applied Mathematics - 6, 23, 1025-1035 - January, 2010 - .
Publication year: 2010

A stable numerical algorithm for solving an inverse parabolic problem

Journal Paper
R. Pourgholi, M. Rostamian
Journal of Information and Computing Science - 4, 4, 290-298 - January, 2009 - .
Publication year: 2009

A Numerical Algorithm for Solving a One-Dimensional Inverse Heat Conduction Problem

Journal Paper
H. Molhem and R. Pourgholi
Journal of Mathematics and Statistics - 1, 4, 60-63 - January, 2008 - .
Publication year: 2008

A numerical approach to solving an inverse parabolic problem using finite difference method

Journal Paper
R. Pourgholi, A. Tahmasbi, A. H. Borezabadi, S. A. Ketabi
Journal of Information and Computing Science - 3, 3, 233-240 - January, 2008 - .
Publication year: 2008

A Nonlinear Inverse Parabolic Problem

Journal Paper
N. Azizi and R. Pourgholi
- Applied Mathematical Sciences 24, 1, 1181-1186 - January, 2007 - .
Publication year: 2007

A Numerical Solution of the One-Dimensional Inverse Parabolic Problem Using Chebyshev T Polynomials

Journal Paper
H. Molhem, R. Pourgholi and D. Momeni
International Mathematical Forum - 47, 2, 2339 - 2346 - January, 2007 - .
Publication year: 2007

Estimation of heat flux in one-dimensional inverse heat conduction problem

Journal Paper
V. Soti, Y. Ahmadizadeh and R. Pourgholi
IMF - 10, 2, 455-464 - January, 2007 - .
Publication year: 2007

Numerical Solution of an Inverse Diffusion Problem

Journal Paper
Y. Ahmadizadeh, V. Soti and R. Pourgholi
AMS - 18, 1, 863 – 868 - January, 2007 - .
Publication year: 2007

Application of finite difference method to estimation of diffusion coefficient in a one dimensional nonlinear inverse diffusion problem

Journal Paper
N. Azizi, R. Pourgholi and M. Ebrahimi
International Mathematical Forum - 30, 1, 1465 - 1472 - January, 2006 - .
Publication year: 2006

A stable solution for an inverse heat conduction problem

Journal Paper
N. Azizi, A. Shidfar and R. Pourgholi
IUST International Journal of Engineering Science - 3, 16, - January, 2005 - .
Publication year: 2005

Solution of inverse heat conduction problem by Sinc-Galerkin method

Conference Paper
R. Pourgholi, T. Houlari, H. Dana
First National Conference on Computational Science - , , - September, 2012 - 6-7 September 2012, Damghan University .
Publication year: 2012

Solution of inverse heat parabolic problem with Legendre wavelet basis

Conference Paper
Reza Pourgholi, Sona Parehkar, Saedeh Foadian
First National Conference on Computational Science - , , - September, 2012 - 6-7 September 2012, Damghan University .
Publication year: 2012

حل مسئله زمانبندی امتحانات با استفاده ازتلفیق الگوریتم ژنتیک ونلدر-مید

Conference Paper
حسن دانا مزرعه، رضا پورقلی، سید هاشم طبسی
5th International Conference of Iranian Operations Research Socieity, Azarbaijan Univertsity of Shahid Madani, - , , - May, 2012
Publication year: 2012

Applications of Haar wavelet method for solving an inverse parabolic problem

Conference Paper
R. POURGHOLI, S. FOUADIAN AND N. TAVALLAEI
42nd Annual Iranian Mathematics Conference - , , 1064-1067 - September, 2011 - .
Publication year: 2011

Applications of the method of lines for solving an inverse parabolic problem

Conference Paper
R. POURGHOLI AND S. MOTAMEDI
42nd Annual Iranian Mathematics Conference - , , 1523-1526 - September, 2011 - .
Publication year: 2011

A numerical solution of an inverse heat conduction problem

Conference Paper
A. Shidfar and R. Pourgholi
2004 WILEY-VCH Verlag Gmb H and Co. KgaA, Weinheim. - , , - - .
Publication year: 2004

An approximate stable solution for an inverse heat conduction problem

Conference Paper
A. Shidfar and R. Pourgholi
Numerical mathematics Mini-symposia / Special Sessions in 47th BAMC-4-7 April 2005 - , , - - .
Publication year: 2005

Chebyshev polynomials and IHCP

Conference Paper
A. Shidfar and R. Pourgholi
35th ANNUAL IRANIAN MATHEMATICS CONFERENCE - , , - - .

A numerical algorithm to solution a nonlinear inverse diffusion problem

Conference Paper
R. Pourgholi, M. Ebrahimi and N. Azizi
36th ANNUAL IRANIAN MATHEMATICS CONFERENCE , Aimc36 - , , - - .

Estimation of unknown radiation term for an inverse problem

Conference Paper
A. Shidfar, R. Pourgholi and G.R. Karamali
36th ANNUAL IRANIAN MATHEMATICS CONFERENCE, aimc36 - , , - - .

A nonlinear inverse diffusion problem

Conference Paper
R. Pourgholi and M. Ebrahimi
- 7th Seminar on Differential Equation and Dynamical Systems, deds7 - , , - - .

A numerical algorithm for diffusion coefficient identification during water sorption in wood

Conference Paper
A. Shidfar, R. Pourgholi and Sh. Badamchizadeh
7th Seminar on Differential Equation and Dynamical Systems, deds7 - , , - - .

SOLVING INVERSE HEAT CONDUCTION PROBLEM BY USING GENETIC ALGORITHM

Conference Paper
R. Pourgholi, H. Dana T. Houlari, S. H. Tabasi
43 Annual Iranian Mathematics Conference, 27-30 August 2012 - , , - - University of Tabriz , Iran, pp 131 .
Publication year: 2012

Anumerical solution for two-dimentional inverse heat conduction problem

Conference Paper
F. Torabi and R. Pourgholi
43 Annual Iranian Mathematics Conference, 27-30 August 2012 - , , - - University of Tabriz , Iran, pp 131 .
Publication year: 2012

Solving inverse parabolic problems by PSO algorithm

Conference Paper
R. Pourgholi, , Z. Binaei
5th Iranian Conference on Applied Mathematics - , , - - September 2-4, 2013 Bu-Ali Sina University .
Publication year: 2013

The ADMB-KdV equation in a time-weighted space

Journal Paper
Amin Esfahani, Reza Pourgholi
ANNALI DELL'UNIVERSITA' DI FERRARA - 59, 2, 269-283 - January, 2013 - .
Publication year: 2013

A numerical solution of a twodimensional IHCP, J Appl Math Comput

Journal Paper
Reza Pourgholi, Amin Esfahani, Morteza Abtahi
JAMC, 1 (41), 61-79, February 2013, DOI 10.1007/s12190-012-0592-6.
Publication year: 2013

Numerical Analysis (Numerical Computation)

Book Chapter
ISBN: 978-964-7099-58-5, Azarbad, Tehran, Iran, 2005
Publication year: 2005

Application of Quintic B-splines Collocation Method for Solving Inverse Rosenau Equation with Dirichlet’s boundary conditions,

ISI Paper
Akram Saeedi, and Reza Pourgholi,
Engineering with Computers: Springer, DOI 10.1007/s00366-017-0512-3
Publication year: 2017

Applications of cubic B-splines collocation method for solving nonlinear inverse parabolic partial differential equations,

ISI Paper
Reza Pourgholi, Akram Saeedi,
Numerical Methods for Partial Differential Equations: John Wily & Sons, Vol. 33, No. 1, Pages 88–104, DOI 10.1002/num.22073.
Publication year: 2017

Solving a nonlinear inverse problem of identifying an unknown source term in a reaction-diffusion equation by Adomian decomposition method,

ISI Paper
Reza Pourgholi and Akram Saeedi,
TWMS J. App. Eng. Math., Vol. 6, No. 1.
Publication year: 2016

A numerical method based on the Adomian decomposition method for identifying an unknown source in non-local initial-boundary value problems,

Journal Paper
Reza Pourgholi and Akram Saeedi,
Int. J. Mathematical Modelling and Numerical Optimisation, Vol. 6, No. 3.
Publication year: 2015

Tau approximate solution of weakly-singular Volterra integral equations with Legendre wavelet basis,

ISI Paper
Reza Pourgholi, Ali Tahmasebi & Ruhangiz Azimi
International Journal of Computer Mathematics: Taylor \& Francis, DOI: 10.1080/00207160.2016.1190010
Publication year: 2016

Cubic B-spline method for the solution of an inverse parabolic system,

ISI Paper
Saedeh Foadian, Reza Pourgholi and S. Hashem Tabasi,
Applicable Analysis:An International Journal, DOI: 10.1080/00036811.2016.1272102.
Publication year: 2017

Solving inverse problems for nonlinear partial differential equations by using tanh method,

Journal Paper
Reza Pourgholi and Abbas Hosseini,
Journal of Advanced Research in Scientific Computing, Vol. 6, Issue. 3, 2014, pp. 7-14.
Publication year: 2014

Combining genetic algorithm and sinc-galerkin method for solving an inverse diffusion problem,

ISI Paper
Hassan Dana Mazraeh, Reza Pourgholi and Tahereh Houlari,
TWMS J. App. Eng. Math., V.7, N.1, 2017.
Publication year: 2017

Azarbad, Tehran, Iran.

Book Chapter
R. Pourgholi, E. Yousefi and R. Azizi,
ISBN: 978-964-7099-58-5,
Publication year: 2005

Inverse Problem for a Parabolic System

ISI Paper
Reza Pourgholi, Amin Esfahani and Hassan Dana Mazraeh
Applications and Applied Mathematics: An International Journal, Vol. 12, Issue 1 (June 2017), pp. 521 -539
Publication year: 2017