Edit Profile (opens in new tab) Babolian, Esmail Co-Author Distance Author ID: babolian.esmail Published as: Babolian, E.; Babolian, Esmail; Babolian, Esmaeil more...less Homepage: https://www.hatamzadeh.ir/en/dr-esmail-babolian External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 173 Publications since 1979, including 6 Additional arXiv Preprints Co-Authors: 99 Co-Authors with 165 Joint Publications 1,591 Co-Co-Authors all top 5 Co-Authors 1 single-authored 26 Javadi, Shahnam 18 Abbasbandy, Saeid 15 Biazar, Jafar 15 Ordokhani, Yadollah 13 Vahidi, Alireza R. 9 Rahimkhani, Parisa 8 Ghasemi, Mehdi 7 Kajani, M. Tavassoli 5 Damercheli, Tayebeh 5 Fattahzadeh, Fariba 5 Jani, Mostafa 5 Saeidian, Jamshid 4 Erfani, Shervan 4 Eslahchi, Mohammad Reza 4 Masouri, Zahra 4 Moradi, Eslam 4 Paripour, Mahmoud 4 Rabiei, Kobra 3 Akhtari, Bahareh 3 Azimzadeh, Zahra 3 Azizi, Aram 3 Bhatta, Dambaru D. 3 Delves, L. M. 3 Gholami, Saeid 3 Hatamzadeh-Varmazyar, Saeed 3 Javidi, Mohammad 3 Majidian, Hassan 3 Masjed-Jamei, Mohammad 3 Mohammadi, Maryam Beyg 3 Sadeghi Goghary, H. 2 Allame, Masoud 2 Arzhang Hajikandi, A. 2 Asadbeigi, Leila 2 Asadi Cordshooli, Gh. 2 Asgari, Zohreh 2 Baseri, A. 2 Bazm, Sohrab 2 Bromilow, M. 2 Dehghan Takht Fooladi, Mehdi 2 Doostdar, Mohammadreza 2 Entezari, Mahsa 2 Foroush Bastani, Ali 2 Hamedzadeh, Danial 2 Hosseini, Mohammad-Mehdi 2 Jahanshahi, Salman 2 Khaksarfard, Marzieh 2 Khaleghi, Maryamsadat 2 Mahmoodi, Zahra 2 Maleknejad, Khosrow 2 Mockary, Siavash 2 Mohebalizadeh, Hamed 2 Mokhtari, Reza 2 Momenzade, N. 2 Mordad, M. 2 Raboky, E. Golpar 2 Rashidinia, Jalil 2 Saberi Zafarghandi, Fahimeh 2 Saravi, Masoud 2 Shaerlar, A. Jafari 2 Shoja, A. 2 Taheri, Zeinab 2 Tohidi, Emran 2 Torres, Delfim Fernando Marado 2 Toutounian, Faezeh 1 Alavi, Majid 1 Allahviranloo, Tofigh 1 Almasieh, Homa 1 Barikbin, M. S. 1 Cordshooli, G. H. Asadi 1 Dastani, N. 1 Doostdar, M. R. 1 Eftekhari, Ali 1 Fadaei Yami, M. R. 1 Hosseiny, Raziye Mohammad 1 Javadin, Sh. 1 Jvadi, Shahnam 1 Kazemi Nasab, A. 1 Kember, G. C. 1 Ketabchi, R. 1 Kiliçman, Adem 1 Lima, Paulo 1 Lotfi, Taher 1 Marzban, Hamid-Reza 1 Neuenkirch, Andreas 1 Nouri, Alireza 1 Pashazadeh Atabakan, Z. 1 Rafieayanzadeh, Hossein 1 Roodaki, MosenMasoud 1 Saadatmandi, Abbas 1 Saeedi, Leila 1 Samiee, F. 1 Sarabi, M. Ebrahim 1 Talebi Moghaddam, M. 1 Tango, M. 1 Tari, Abolfazl 1 Vahidia, A. R. 1 Yarmohammadi, Mohammadreza 1 Yousefi, Sohrab Ali 1 Zeynal, Elham all top 5 Serials 45 Applied Mathematics and Computation 14 Journal of Computational and Applied Mathematics 7 Computers & Mathematics with Applications 7 Mathematical Sciences 5 Numerical Algorithms 5 International Journal of Computer Mathematics 5 Computational and Applied Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Computational Methods for Differential Equations 3 Mathematical Methods in the Applied Sciences 3 Mathematical and Computer Modelling 3 Applied Mathematical Modelling 3 Advances in Difference Equations 3 Iranian Journal of Mathematical Sciences and Informatics 2 Chaos, Solitons and Fractals 2 Applied Numerical Mathematics 2 Nonlinear Studies 2 Nonlinear Dynamics 2 The Korean Journal of Computational & Applied Mathematics 2 International Journal of Contemporary Mathematical Sciences 2 International Journal of Mathematical Analysis (Ruse) 2 International Journal of Nonlinear Analysis and Applications 2 Mathematical Sciences Quarterly Journal 2 Iranian Journal of Numerical Analysis and Optimization 1 Applicable Analysis 1 IMA Journal of Numerical Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of the Institute of Mathematics and its Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Southeast Asian Bulletin of Mathematics 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Parallel Computing 1 Applied Mathematics Letters 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Vibration and Control 1 Mathematical Communications 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Far East Journal of Applied Mathematics 1 Far East Journal of Mathematical Sciences 1 Scientia Iranica 1 Discrete and Continuous Dynamical Systems. Series B 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 1 Miskolc Mathematical Notes 1 Applications and Applied Mathematics 1 Applied Mathematical Sciences (Ruse) 1 Applied and Computational Mathematics 1 TWMS Journal of Pure and Applied Mathematics 1 Journal of Mathematical Extension 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Mathematical Modeling 1 International Journal of Applied and Computational Mathematics all top 5 Fields 159 Numerical analysis (65-XX) 68 Integral equations (45-XX) 37 Ordinary differential equations (34-XX) 25 Partial differential equations (35-XX) 14 Real functions (26-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Approximations and expansions (41-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Probability theory and stochastic processes (60-XX) 5 Operator theory (47-XX) 4 Functional analysis (46-XX) 4 Biology and other natural sciences (92-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 2,496 times in 1,725 Documents Cited by ▼ Year ▼ Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration. Zbl 1117.65178 Babolian, E.; Fattahzadeh, F. 99 2007 Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets. Zbl 1159.65102 Babolian, E.; Shahsavaran, A. 90 2009 Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet. Zbl 1468.65089 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 87 2017 A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Zbl 1358.65043 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 74 2017 Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions. Zbl 1189.65306 Babolian, E.; Masouri, Z.; Hatamzadeh-Varmazyar, S. 62 2009 Fractional-order Bernoulli wavelets and their applications. Zbl 1471.65226 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 62 2016 Solution of the system of ordinary differential equations by Adomian decomposition method. Zbl 1034.65053 Biazar, J.; Babolian, E.; Islam, R. 59 2004 Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method. Zbl 1062.65143 Babolian, E.; Goghary, H. Sadeghi; Abbasbandy, S. 56 2005 Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations. Zbl 1402.65061 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 54 2018 Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions. Zbl 1221.65326 Babolian, E.; Bazm, S.; Lima, P. 53 2011 Solution of nonlinear equations by modified Adomian decomposition method. Zbl 1023.65040 Babolian, E.; Biazar, J. 49 2002 Solution of a system of Volterra integral equations of the first kind by Adomian method. Zbl 1027.65180 Biazar, J.; Babolian, E.; Islam, R. 48 2003 The decomposition method applied to systems of Fredholm integral equations of the second kind. Zbl 1042.65104 Babolian, E.; Biazar, J.; Vahidi, A. R. 48 2004 Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method. Zbl 1114.65367 Ghasemi, M.; Tavassoli Kajani, M.; Babolian, E. 46 2007 Some error estimates for solving Volterra integral equations by using the reproducing kernel method. Zbl 1295.65127 Ketabchi, R.; Mokhtari, R.; Babolian, E. 44 2015 On the order of convergence of Adomian method. Zbl 1044.65043 Babolian, E.; Biazar, J. 44 2002 Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions. Zbl 1135.65043 Babolian, E.; Shamloo, A. Salimi 43 2008 A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions. Zbl 1228.65243 Babolian, E.; Mordad, M. 43 2011 Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Zbl 1137.65442 Abbasbandy, S.; Babolian, E.; Alavi, M. 42 2007 Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions. Zbl 1146.65082 Babolian, E.; Masouri, Z. 42 2008 Numerical solution of linear integro-differential equation by using sine-cosine wavelets. Zbl 1102.65137 Kajani, M. Tavassoli; Ghasemi, M.; Babolian, E. 41 2006 Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations. Zbl 1375.65175 Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail 40 2017 An alternate algorithm for computing Adomian polynomials in special cases. Zbl 1027.65076 Biazar, J.; Babolian, E.; Kember, G.; Nouri, A.; Islam, R. 39 2003 An efficient approximate method for solving delay fractional optimal control problems. Zbl 1371.34016 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 39 2016 Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method. Zbl 1366.65006 Taheri, Z.; Javadi, S.; Babolian, E. 35 2017 New method for calculating Adomian polynomials. Zbl 1055.65068 Babolian, E.; Javadi, Sh. 33 2004 Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations. Zbl 1202.65168 Babolian, E.; Maleknejad, K.; Roodaki, M.; Almasieh, H. 33 2010 The Boubaker polynomials and their application to solve fractional optimal control problems. Zbl 1380.49058 Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil 30 2017 An augmented Galerkin method for first kind Fredholm equations. Zbl 0428.65065 Babolian, E.; Delves, L. M. 29 1979 Application of He’s homotopy perturbation method to nonlinear integro-differential equations. Zbl 1118.65394 Ghasemi, M.; Tavassoli Kajani, M.; Babolian, E. 28 2007 Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration. Zbl 1114.65366 Babolian, E.; Fattahzadeh, F. 27 2007 On the decomposition method for system of linear equations and system of linear Volterra integral equations. Zbl 1032.65027 Babolian, E.; Biazar, J.; Vahidi, A. R. 26 2004 Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials. Zbl 1382.65189 Javadi, Shahnam; Babolian, Esmail; Taheri, Zeinab 26 2016 Comparison between the homotopy perturbation method and the sine-cosine wavelet method for solving linear integro-differential equations. Zbl 1141.65397 Kajani, M. Tavassoli; Ghasemi, M.; Babolian, E. 26 2007 A collocation method for fractional diffusion equation in a long time with Chebyshev functions. Zbl 1427.65281 Baseri, A.; Abbasbandy, S.; Babolian, E. 25 2018 Solution of a system of nonlinear equations by Adomian decomposition method. Zbl 1075.65073 Babolian, E.; Biazar, J.; Vahidi, A. R. 22 2004 Using triangular orthogonal functions for solving Fredholm integral equations of the second kind. Zbl 1147.65105 Babolian, E.; Marzban, H. R.; Salmani, M. 22 2008 On numerical improvement of Gauss-Lobatto quadrature rules. Zbl 1070.65019 Eslahchi, M. R.; Masjed-Jamei, M.; Babolian, E. 22 2005 Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules. Zbl 1244.65236 Bazm, S.; Babolian, E. 22 2012 Restarted Adomian method for system of nonlinear Volterra integral equations. Zbl 1061.65148 Sadeghi Goghary, H.; Javadi, Sh.; Babolian, E. 21 2005 Solution of a system of nonlinear Volterra intergal equations of the second kind. Zbl 0979.65123 Babolian, E.; Biazar, J. 21 2000 Numerically solution of fuzzy differential equations by Adomian method. Zbl 1038.65056 Babolian, E.; Sadeghi, H.; Javadi, Sh. 19 2004 A numerical method for solving a class of functional and two-dimensional integral equations. Zbl 1137.65065 Babolian, E.; Abbasbandy, S.; Fattahzadeh, F. 18 2008 A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix. Zbl 1219.65158 Babolian, E.; Maleknejad, K.; Mordad, M.; Rahimi, B. 18 2011 Numerical solution of the generalized Zakharov equation by homotopy analysis method. Zbl 1221.65269 Abbasbandy, S.; Babolian, E.; Ashtiani, M. 18 2009 Reducing index, and pseudospectral methods for differential-algebraic equations. Zbl 1042.65067 Babolian, E.; Hosseini, M. M. 18 2003 On numerical improvement of Gauss–Legendre quadrature rules. Zbl 1062.65028 Babolian, E.; Masjed-Jamei, M.; Eslahchi, M. R. 18 2005 Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems. Zbl 1400.93133 Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil 18 2018 Error analysis of reproducing kernel Hilbert space method for solving functional integral equations. Zbl 1416.65527 Babolian, Esmail; Javadi, Shahnam; Moradi, Eslam 17 2016 Analytic approximate solutions to Burgers, Fisher, Huxley equations and two combined forms of these equations. Zbl 1221.65271 Babolian, E.; Saeidian, J. 17 2009 A new computational method for Laplace transforms by decomposition method. Zbl 1039.65094 Babolian, E.; Biazar, J.; Vahidi, A. R. 17 2004 A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type. Zbl 1122.65409 Babolian, E.; Fattahzadeh, F.; Raboky, E. Golpar 17 2007 A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution. Zbl 1024.65071 Babolian, E.; Hosseini, M. M. 17 2002 Wavelet analysis method for solving linear and nonlinear singular boundary value problems. Zbl 1274.65224 Nasab, A. Kazemi; Kılıçman, A.; Babolian, E.; Atabakan, Z. Pashazadeh 17 2013 RKM for solving Bratu-type differential equations of fractional order. Zbl 1350.65080 Babolian, Esmail; Javadi, Shahnam; Moradi, Eslam 16 2016 Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions. Zbl 1438.65161 Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail 16 2017 Solving the problem of biological species living together by Adomian decomposition method. Zbl 1023.65144 Babolian, E.; Biazar, J. 16 2002 Some notes on using the homotopy perturbation method for solving time-dependent differential equations. Zbl 1185.65196 Babolian, E.; Azizi, A.; Saeidian, J. 14 2009 Numerical implementation of Adomian decomposition method for linear Volterra integral equations of the second kind. Zbl 1070.65134 Babolian, E.; Davari, A. 14 2005 B-spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations. Zbl 1276.41009 Mahmoodi, Z.; Rashidinia, J.; Babolian, E. 14 2013 Interpolation of fuzzy data by natural splines. Zbl 0914.65001 Abbasbandy, S.; Babolian, E. 14 1998 An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method. Zbl 1336.35353 Babolian, E.; Vahidi, A. R.; Shoja, A. 13 2014 Using direct method for solving variational problems via triangular orthogonal functions. Zbl 1193.65196 Babolian, E.; Mokhtari, R.; Salmani, M. 12 2007 Numerical solution of 1D and 2D fractional optimal control of system via Bernoulli polynomials. Zbl 1383.65067 Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil 12 2018 Radial basis functions method for solving the fractional diffusion equations. Zbl 1429.65252 Saberi Zafarghandi, Fahimeh; Mohammadi, Maryam; Babolian, Esmail; Javadi, Shahnam 12 2019 An expansion-iterative method for numerically solving Volterra integral equation of the first kind. Zbl 1189.65309 Masouri, Z.; Babolian, E.; Hatamzadeh-Varmazyar, S. 11 2010 Numerical solution of fuzzy max-min systems. Zbl 1094.65035 Abbasbandy, S.; Babolian, E.; Allame, M. 11 2006 Numerical solution of linear Fredholm integral equations using sine-cosine wavelets. Zbl 1122.65130 Ghasemi, M.; Babolian, E.; Kajani, M. Tavassoli 10 2007 A splitting iterative method for solving second kind integral equations in reproducing kernel spaces. Zbl 1370.65074 Babolian, Esmail; Hamedzadeh, Danial 10 2017 Chebyshev reproducing kernel method: application to two-point boundary value problems. Zbl 1422.34104 Khaleghi, M.; Babolian, E.; Abbasbandy, S. 10 2017 Restarted Adomian method for algebraic equations. Zbl 1032.65049 Babolian, E.; Javadi, Sh. 9 2003 Numerical implementation of Adomian decomposition method. Zbl 1048.65131 Babolian, E.; Davari, A. 9 2004 Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method. Zbl 1048.92013 Biazar, J.; Tango, M.; Babolian, E.; Islam, R. 9 2003 Numerical solutions of the nonlinear integro-differential equations: wavelet-Galerkin method and homotopy perturbation method. Zbl 1114.65368 Ghasemi, M.; Tavassoli kajani, M.; Babolian, E. 9 2007 A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers’ equation. Zbl 1397.65206 Mohammadi, Maryam; Saberi Zafarghandi, Fahimeh; Babolian, Esmail; Jvadi, Shahnam 9 2018 Bernstein modal basis: application to the spectral Petrov-Galerkin method for fractional partial differential equations. Zbl 1382.65344 Jani, M.; Babolian, E.; Javadi, S. 9 2017 Normalized Bernstein polynomials in solving space-time fractional diffusion equation. Zbl 1444.65057 Baseri, A.; Babolian, E.; Abbasbandy, S. 9 2017 A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems. Zbl 1318.65043 Babolian, Esmail; Eftekhari, Ali; Saadatmandi, Abbas 8 2015 Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation. Zbl 1394.76068 Jani, M.; Javadi, S.; Babolian, E.; Bhatta, D. 8 2018 A numerical scheme for space-time fractional advection-dispersion equation. Zbl 1474.65390 Javadi, Shahnam; Jani, Mostafa; Babolian, Esmail 8 2016 Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation. Zbl 1422.65109 Yarmohammadi, M.; Javadi, S.; Babolian, E. 8 2018 A fast numerical method for fractional partial differential equations. Zbl 1485.65110 Mockary, S.; Babolian, E.; Vahidi, A. R. 7 2019 System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method. Zbl 1189.65140 Saravi, M.; Babolian, E.; England, R.; Bromilow, M. 7 2010 An improvement to the homotopy perturbation method for solving nonlinear Duffing’s equations. Zbl 1448.65066 Vahidi, A. R.; Babolian, E.; Azimzadeh, Z. 7 2018 Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations. Zbl 1447.65013 Erfani, S.; Babolian, E.; Javadi, S.; Shamsi, M. 7 2019 Solution of a system of linear Volterra equations by Adomian decomposition method. Zbl 1012.65146 Babolian, E.; Biazar, J. 6 2002 Restarted Adomian method for integral equations. Zbl 1048.65132 Babolian, E.; Javadi, Sh.; Sadeghi, H. 6 2004 Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations. Zbl 1426.65221 Yousefi, A.; Javadi, S.; Babolian, E.; Moradi, E. 6 2019 Wavelet moment method for solving Fredholm integral equations of the first kind. Zbl 1117.65168 Babolian, E.; Lotfi, T.; Paripour, M. 6 2007 LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. Zbl 1438.65042 Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E. 6 2019 Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation. Zbl 1380.65137 Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail 6 2017 Solving differential equations by decomposition method. Zbl 1082.65560 Babolian, E.; Vahidi, A. R.; Cordshooli, Gh. Asadi 5 2005 Two dimensional block pulse functions and application to solve Volterra-Fredholm integral equations with Galerkin method. Zbl 1228.65244 Babolian, E.; Shaerlar, A. Jafari 5 2011 He’s homotopy perturbation method: an effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations. Zbl 1255.65236 Babolian, E.; Dastani, N. 5 2012 A numerical scheme for solving nonlinear fractional Volterra integro-differential equations. Zbl 1455.65109 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 5 2018 A computational approach for solving fractional integral equations based on Legendre collocation method. Zbl 1452.65414 Yousefi, A.; Javadi, S.; Babolian, E. 5 2019 Numerical solution of fractional partial differential equations with normalized Bernstein wavelet method. Zbl 1434.65203 Entezari, Mahsa; Abbasbandy, Saeid; Babolian, Esmail 5 2019 The approximate solution of a class of Fredholm integral equations with a weakly singular kernel. Zbl 1205.65331 Babolian, E.; Arzhang Hajikandi, A. 5 2011 An approximate method for solution of nonlocal boundary value problems via Gaussian radial basis functions. Zbl 1422.65283 Khaksarfard, M.; Ordokhani, Y.; Babolian, E. 5 2019 An interpolation degenerate kernel method for eigenvalue problems of a class of non-compact operators. Zbl 1204.47026 Majidian, H.; Babolian, E. 4 2010 A numerical method for solving stochastic Volterra-Fredholm integral equation. Zbl 1524.65038 Momenzade, N.; Vahidi, A. R.; Babolian, E. 1 2023 An efficient approximate solution of Riesz fractional advection-diffusion equation. Zbl 1490.65224 Mockary, Siavash; Vahidi, Alireza; Babolian, Esmail 3 2022 Hybrid of block-pulse and orthonormal Bernstein functions for fractional differential equations. Zbl 1499.65348 Entezari, M.; Abbasbandy, S.; Babolian, E. 1 2022 Reproducing kernel method to solve non-local fractional boundary value problem. Zbl 1510.65156 Hosseiny, Raziye Mohammad; Allahviranloo, Tofigh; Abbasbandy, Saeid; Babolian, Esmail 1 2022 A hybrid functions method for solving linear and non-linear systems of ordinary differential equations. Zbl 1482.65105 Doostdar, Mohammadreza; Vahidi, Alireza; Damercheli, Tayebeh; Babolian, Esmail 3 2021 A Petrov-Galerkin spectral method for the numerical simulation and analysis of fractional anomalous diffusion. Zbl 1486.65201 Jani, Mostafa; Babolian, Esmail; Bhatta, Dambaru 2 2021 New fractional pseudospectral methods with accurate convergence rates for fractional differential equations. Zbl 1459.65124 Erfani, Shervan; Babolian, Esmail; Javadi, Shahnam 1 2021 An iterative shifted Chebyshev method for nonlinear stochastic Itô-Volterra integral equations. Zbl 1439.65225 Barikbin, M. S.; Vahidi, A. R.; Damercheli, T.; Babolian, E. 4 2020 Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two-point boundary value problems. Zbl 1433.65146 Erfani, S.; Babolian, E.; Javadi, S. 4 2020 A study on functional fractional integro-differential equations of Hammerstein type. Zbl 1449.65367 Saeedi, Leila; Tari, Abolfazl; Babolian, Esmail 2 2020 An extended block Golub-Kahan algorithm for large algebraic and differential matrix Riccati equations. Zbl 1439.65052 Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E. 2 2020 An efficient collocation method with convergence rates based on Müntz spaces for solving nonlinear fractional two-point boundary value problems. Zbl 1474.65252 Erfani, S.; Javadi, S.; Babolian, E. 1 2020 Radial basis functions method for solving the fractional diffusion equations. Zbl 1429.65252 Saberi Zafarghandi, Fahimeh; Mohammadi, Maryam; Babolian, Esmail; Javadi, Shahnam 12 2019 A fast numerical method for fractional partial differential equations. Zbl 1485.65110 Mockary, S.; Babolian, E.; Vahidi, A. R. 7 2019 Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations. Zbl 1447.65013 Erfani, S.; Babolian, E.; Javadi, S.; Shamsi, M. 7 2019 Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations. Zbl 1426.65221 Yousefi, A.; Javadi, S.; Babolian, E.; Moradi, E. 6 2019 LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. Zbl 1438.65042 Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E. 6 2019 A computational approach for solving fractional integral equations based on Legendre collocation method. Zbl 1452.65414 Yousefi, A.; Javadi, S.; Babolian, E. 5 2019 Numerical solution of fractional partial differential equations with normalized Bernstein wavelet method. Zbl 1434.65203 Entezari, Mahsa; Abbasbandy, Saeid; Babolian, Esmail 5 2019 An approximate method for solution of nonlocal boundary value problems via Gaussian radial basis functions. Zbl 1422.65283 Khaksarfard, M.; Ordokhani, Y.; Babolian, E. 5 2019 Numerical solution of singularly perturbed parabolic problems by a local kernel-based method with an adaptive algorithm. Zbl 1449.35034 Rafieayanzadeh, Hossein; Mohammadi, Maryam; Babolian, Esmail 2 2019 Fractional pseudospectral integration/differentiation matrix and fractional differential equations. Zbl 1428.74225 Gholami, Saeid; Babolian, Esmail; Javidi, Mohammad 2 2019 Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations. Zbl 1402.65061 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 54 2018 A collocation method for fractional diffusion equation in a long time with Chebyshev functions. Zbl 1427.65281 Baseri, A.; Abbasbandy, S.; Babolian, E. 25 2018 Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems. Zbl 1400.93133 Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil 18 2018 Numerical solution of 1D and 2D fractional optimal control of system via Bernoulli polynomials. Zbl 1383.65067 Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil 12 2018 A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers’ equation. Zbl 1397.65206 Mohammadi, Maryam; Saberi Zafarghandi, Fahimeh; Babolian, Esmail; Jvadi, Shahnam 9 2018 Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation. Zbl 1394.76068 Jani, M.; Javadi, S.; Babolian, E.; Bhatta, D. 8 2018 Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation. Zbl 1422.65109 Yarmohammadi, M.; Javadi, S.; Babolian, E. 8 2018 An improvement to the homotopy perturbation method for solving nonlinear Duffing’s equations. Zbl 1448.65066 Vahidi, A. R.; Babolian, E.; Azimzadeh, Z. 7 2018 A numerical scheme for solving nonlinear fractional Volterra integro-differential equations. Zbl 1455.65109 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 5 2018 Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique. Zbl 1427.65121 Khaleghi, M.; Talebi Moghaddam, M.; Babolian, E.; Abbasbandy, S. 4 2018 A computational method for solving stochastic Itô-Volterra integral equation with multi-stochastic terms. Zbl 1422.65455 Momenzade, N.; Vahidi, A. R.; Babolian, E. 4 2018 Fractional-order Legendre functions and their application to solve fractional optimal control of systems described by integro-differential equations. Zbl 1404.49021 Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil 4 2018 Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet. Zbl 1468.65089 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 87 2017 A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Zbl 1358.65043 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 74 2017 Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations. Zbl 1375.65175 Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail 40 2017 Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method. Zbl 1366.65006 Taheri, Z.; Javadi, S.; Babolian, E. 35 2017 The Boubaker polynomials and their application to solve fractional optimal control problems. Zbl 1380.49058 Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil 30 2017 Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions. Zbl 1438.65161 Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail 16 2017 A splitting iterative method for solving second kind integral equations in reproducing kernel spaces. Zbl 1370.65074 Babolian, Esmail; Hamedzadeh, Danial 10 2017 Chebyshev reproducing kernel method: application to two-point boundary value problems. Zbl 1422.34104 Khaleghi, M.; Babolian, E.; Abbasbandy, S. 10 2017 Bernstein modal basis: application to the spectral Petrov-Galerkin method for fractional partial differential equations. Zbl 1382.65344 Jani, M.; Babolian, E.; Javadi, S. 9 2017 Normalized Bernstein polynomials in solving space-time fractional diffusion equation. Zbl 1444.65057 Baseri, A.; Babolian, E.; Abbasbandy, S. 9 2017 Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation. Zbl 1380.65137 Rahimkhani, Parisa; Ordokhani, Yadollah; Babolian, Esmail 6 2017 Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation. Zbl 1456.35214 Jani, M.; Babolian, E.; Javadi, S.; Bhatta, D. 4 2017 A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives. Zbl 1422.65057 Jahanshahi, S.; Babolian, E.; Torres, D. F. M.; Vahidi, A. R. 4 2017 A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type. Zbl 1354.65281 Shoja, A.; Vahidi, A. R.; Babolian, E. 3 2017 Bernstein multiscaling polynomials and application by solving Volterra integral equations. Zbl 1372.65349 Mohamadi, M.; Babolian, E.; Yousefi, S. A. 2 2017 Fractional-order Bernoulli wavelets and their applications. Zbl 1471.65226 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 62 2016 An efficient approximate method for solving delay fractional optimal control problems. Zbl 1371.34016 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 39 2016 Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials. Zbl 1382.65189 Javadi, Shahnam; Babolian, Esmail; Taheri, Zeinab 26 2016 Error analysis of reproducing kernel Hilbert space method for solving functional integral equations. Zbl 1416.65527 Babolian, Esmail; Javadi, Shahnam; Moradi, Eslam 17 2016 RKM for solving Bratu-type differential equations of fractional order. Zbl 1350.65080 Babolian, Esmail; Javadi, Shahnam; Moradi, Eslam 16 2016 A numerical scheme for space-time fractional advection-dispersion equation. Zbl 1474.65390 Javadi, Shahnam; Jani, Mostafa; Babolian, Esmail 8 2016 Numerical method for solving arbitrary linear differential equations using a set of orthogonal basis functions and operational matrix. Zbl 1443.65105 Hatamzadeh-Varmazyar, Saeed; Masouri, Zahra; Babolian, Esmail 4 2016 The explicit formulas for reproducing kernel of some Hilbert spaces. Zbl 1349.46027 Moradi, E.; Babolian, E.; Javadi, S. 1 2016 Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation. Zbl 1424.65186 Gholami, Saeid; Babolian, Esmail; Javidi, Mohammad 1 2016 Some error estimates for solving Volterra integral equations by using the reproducing kernel method. Zbl 1295.65127 Ketabchi, R.; Mokhtari, R.; Babolian, E. 44 2015 A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems. Zbl 1318.65043 Babolian, Esmail; Eftekhari, Ali; Saadatmandi, Abbas 8 2015 An Euler scheme for stochastic delay differential equations on unbounded domains: pathwise convergence. Zbl 1325.65015 Akhtari, Bahareh; Babolian, Esmail; Neuenkirch, Andreas 3 2015 On a homotopy based method for solving systems of linear equations. Zbl 1331.65061 Saeidian, J.; Babolian, E.; Azizi, A. 2 2015 Erratum to: “An adaptive weak continuous Euler-Maruyama method for stochastic delay differential equations”. Zbl 1330.65013 Akhtari, B.; Babolian, E.; Bastani, A. Foroush 1 2015 An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method. Zbl 1336.35353 Babolian, E.; Vahidi, A. R.; Shoja, A. 13 2014 A numerical solution for one-dimensional parabolic equation based on pseudo-spectral integration matrix. Zbl 1312.65165 Babolian, E.; Gholami, S.; Javidi, M. 3 2014 Wavelet analysis method for solving linear and nonlinear singular boundary value problems. Zbl 1274.65224 Nasab, A. Kazemi; Kılıçman, A.; Babolian, E.; Atabakan, Z. Pashazadeh 17 2013 B-spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations. Zbl 1276.41009 Mahmoodi, Z.; Rashidinia, J.; Babolian, E. 14 2013 Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules. Zbl 1244.65236 Bazm, S.; Babolian, E. 22 2012 He’s homotopy perturbation method: an effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations. Zbl 1255.65236 Babolian, E.; Dastani, N. 5 2012 Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions. Zbl 1221.65326 Babolian, E.; Bazm, S.; Lima, P. 53 2011 A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions. Zbl 1228.65243 Babolian, E.; Mordad, M. 43 2011 A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix. Zbl 1219.65158 Babolian, E.; Maleknejad, K.; Mordad, M.; Rahimi, B. 18 2011 Two dimensional block pulse functions and application to solve Volterra-Fredholm integral equations with Galerkin method. Zbl 1228.65244 Babolian, E.; Shaerlar, A. Jafari 5 2011 The approximate solution of a class of Fredholm integral equations with a weakly singular kernel. Zbl 1205.65331 Babolian, E.; Arzhang Hajikandi, A. 5 2011 Spline collocation for Fredholm integral equation. Zbl 1304.65277 Rashidinia, J.; Babolian, E.; Mahmoodi, Z. 2 2011 Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations. Zbl 1202.65168 Babolian, E.; Maleknejad, K.; Roodaki, M.; Almasieh, H. 33 2010 An expansion-iterative method for numerically solving Volterra integral equation of the first kind. Zbl 1189.65309 Masouri, Z.; Babolian, E.; Hatamzadeh-Varmazyar, S. 11 2010 System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method. Zbl 1189.65140 Saravi, M.; Babolian, E.; England, R.; Bromilow, M. 7 2010 An interpolation degenerate kernel method for eigenvalue problems of a class of non-compact operators. Zbl 1204.47026 Majidian, H.; Babolian, E. 4 2010 Numerical computation of the Riemann zeta function and prime counting function by using Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1206.11103 Babolian, E.; Hajikandi, A. Arzhang 2 2010 Analytic solutions to diffusion equations. Zbl 1190.65160 Paripour, M.; Babolian, E.; Saeidian, J. 1 2010 Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets. Zbl 1159.65102 Babolian, E.; Shahsavaran, A. 90 2009 Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions. Zbl 1189.65306 Babolian, E.; Masouri, Z.; Hatamzadeh-Varmazyar, S. 62 2009 Numerical solution of the generalized Zakharov equation by homotopy analysis method. Zbl 1221.65269 Abbasbandy, S.; Babolian, E.; Ashtiani, M. 18 2009 Analytic approximate solutions to Burgers, Fisher, Huxley equations and two combined forms of these equations. Zbl 1221.65271 Babolian, E.; Saeidian, J. 17 2009 Some notes on using the homotopy perturbation method for solving time-dependent differential equations. Zbl 1185.65196 Babolian, E.; Azizi, A.; Saeidian, J. 14 2009 Numerical solution of Fredholm integro-differential equation by Adomian’s decomposition method. Zbl 1198.65257 Vahidi, A. R.; Babolian, E.; Asadi Cordshooli, Gh.; Azimzadeh, Z. 4 2009 Restarted Adomian’s decomposition method for Duffing’s equation. Zbl 1197.65083 Vahidia, A. R.; Babolian, E.; Cordshooli, G. H. Asadi; Samiee, F. 3 2009 Application of homotopy perturbation method to some nonlinear problems. Zbl 1188.35042 Babolian, E.; Saeidian, J.; Azizi, A. 1 2009 Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions. Zbl 1135.65043 Babolian, E.; Shamloo, A. Salimi 43 2008 Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions. Zbl 1146.65082 Babolian, E.; Masouri, Z. 42 2008 Using triangular orthogonal functions for solving Fredholm integral equations of the second kind. Zbl 1147.65105 Babolian, E.; Marzban, H. R.; Salmani, M. 22 2008 A numerical method for solving a class of functional and two-dimensional integral equations. Zbl 1137.65065 Babolian, E.; Abbasbandy, S.; Fattahzadeh, F. 18 2008 Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration. Zbl 1117.65178 Babolian, E.; Fattahzadeh, F. 99 2007 Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method. Zbl 1114.65367 Ghasemi, M.; Tavassoli Kajani, M.; Babolian, E. 46 2007 Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Zbl 1137.65442 Abbasbandy, S.; Babolian, E.; Alavi, M. 42 2007 Application of He’s homotopy perturbation method to nonlinear integro-differential equations. Zbl 1118.65394 Ghasemi, M.; Tavassoli Kajani, M.; Babolian, E. 28 2007 Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration. Zbl 1114.65366 Babolian, E.; Fattahzadeh, F. 27 2007 Comparison between the homotopy perturbation method and the sine-cosine wavelet method for solving linear integro-differential equations. Zbl 1141.65397 Kajani, M. Tavassoli; Ghasemi, M.; Babolian, E. 26 2007 A Chebyshev approximation for solving nonlinear integral equations of Hammerstein type. Zbl 1122.65409 Babolian, E.; Fattahzadeh, F.; Raboky, E. Golpar 17 2007 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,167 Authors 78 Babolian, Esmail 50 Ordokhani, Yadollah 45 Maleknejad, Khosrow 41 Mirzaee, Farshid 40 Abbasbandy, Saeid 37 Dehghan Takht Fooladi, Mehdi 34 Biazar, Jafar 31 Rahimkhani, Parisa 29 Heydari, Mohammad Hossein 29 Razzaghi, Mohsen 21 Sezer, Mehmet 21 Yüzbaşı, Şuayip 20 Ezzati, Reza 17 Băleanu, Dumitru I. 17 Samadyar, Nasrin 16 Allahviranloo, Tofigh 16 Hosseini, Mohammad-Mehdi 16 Mohammadi, Fakhrodin 16 Rashidinia, Jalil 15 Cattani, Carlo 15 Doungmo Goufo, Emile Franc 15 Eslahchi, Mohammad Reza 15 Javadi, Shahnam 14 Akgül, Ali 13 Avazzadeh, Zakieh 13 Bica, Alexandru Mihai 13 Shah, Kamal 13 Tohidi, Emran 12 Masjed-Jamei, Mohammad 12 Siraj-ul-Islam 12 Ziari, Shokrollah 11 Aziz, Imran 11 Doha, Eid H. 11 Huang, Jin 11 Machado, José António Tenreiro 11 Sabermahani, Sedigheh 11 Wu, Boying 11 Zaky, Mahmoud A. 10 Assari, Pouria 10 Hooshmandasl, Mohammad Reza 10 Li, Xiuying 10 Parand, Kourosh 10 Saha Ray, Santanu 9 Daftardar-Gejji, Varsha 9 Gülsu, Mustafa 9 Javidi, Mohammad 9 Lotfi, Taher 9 Saadatmandi, Abbas 9 Usman, Muhammad 9 Vahidi, Alireza R. 9 Youssri, Youssri H. 8 Abd-Elhameed, Waleed Mohamed 8 Aminikhah, Hossein 8 Dehestani, Haniye 8 Fatoorehchi, Hooman 8 Hadadiyan, Elham 8 Hassani, Hossein 8 Jafari, Hossein 8 Khajehnasiri, Amirahmad A. 8 Maalek Ghaini, F. 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