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K. Parand 0001
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- affiliation: Shahid Beheshti University, Tehran, Iran
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2020 – today
- 2024
- [j46]Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand:
Bridging machine learning and weighted residual methods for delay differential equations of fractional order. Appl. Soft Comput. 149(Part A): 110936 (2024) - [j45]Hassan Dana Mazraeh, Kourosh Parand:
GEPINN: An innovative hybrid method for a symbolic solution to the Lane-Emden type equation based on grammatical evolution and physics-informed neural networks. Astron. Comput. 48: 100846 (2024) - [j44]Ali Nosrati Firoozsalari, Alireza Afzal Aghaei, Kourosh Parand:
A machine learning framework for efficiently solving Fokker-Planck equations. Comput. Appl. Math. 43(6): 389 (2024) - [j43]K. Parand, Alireza Afzal Aghaei, S. Kiani, T. Ilkhas Zadeh, Z. Khosravi:
A neural network approach for solving nonlinear differential equations of Lane-Emden type. Eng. Comput. 40(2): 953-969 (2024) - [j42]Maryam Babaei, Alireza Afzal Aghaei, Zahra Kazemi, Mahdieh Jamshidi, Reza Ghaderi, Kourosh Parand:
Solving a class of Thomas-Fermi equations: A new solution concept based on physics-informed machine learning. Math. Comput. Simul. 225: 716-730 (2024) - [i28]Pegah Ahadian, Maryam Babaei, Kourosh Parand:
Using Singular Value Decomposition in a Convolutional Neural Network to Improve Brain Tumor Segmentation Accuracy. CoRR abs/2401.02537 (2024) - [i27]Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand:
Accelerating Fractional PINNs using Operational Matrices of Derivative. CoRR abs/2401.14081 (2024) - [i26]Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand:
An Orthogonal Polynomial Kernel-Based Machine Learning Model for Differential-Algebraic Equations. CoRR abs/2401.14382 (2024) - [i25]Kourosh Parand, Aida Pakniyat:
Hermite Neural Network Simulation for Solving the 2D Schrodinger Equation. CoRR abs/2402.10649 (2024) - [i24]Kourosh Parand, Saeed Setayeshi, Mir Mohsen Pedram, Ali Yoonesi, Aida Pakniyat:
Solving the decision-making differential equations from eye fixation data in Unity software by using Hermite Long-Short-Term Memory neural network. CoRR abs/2402.13027 (2024) - [i23]Alireza Afzal Aghaei, Mahdi Movahedian Moghaddam, Kourosh Parand:
PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems. CoRR abs/2409.01899 (2024) - 2023
- [j41]Zeinab Hajimohammadi, Simin Shekarpaz, K. Parand:
The novel learning solutions to nonlinear differential models on a semi-infinite domain. Eng. Comput. 39(3): 2169-2186 (2023) - [j40]Mohsen Asghari, Amir Hosein Hadian-Rasanan, Saeid Gorgin, Dara Rahmati, K. Parand:
FPGA-orthopoly: a hardware implementation of orthogonal polynomials. Eng. Comput. 39(3): 2257-2276 (2023) - [j39]Elyas Shivanian, Zeinab Hajimohammadi, Fatemeh Baharifard, Kourosh Parand, Ramin Kazemi:
A Novel Learning Approach for Different Profile Shapes of Convecting-Radiating Fins Based on Shifted Gegenbauer LSSVM. New Math. Nat. Comput. 19(1): 195-215 (2023) - [i22]Alireza Afzal Aghaei, Kourosh Parand:
Hyperparameter optimization of orthogonal functions in the numerical solution of differential equations. CoRR abs/2304.14088 (2023) - [i21]Alireza Afzal Aghaei, Kourosh Parand, Ali Nikkhah, Shakila Jaberi:
Solving Falkner-Skan type equations via Legendre and Chebyshev Neural Blocks. CoRR abs/2308.03337 (2023) - [i20]Ali Nosrati Firoozsalari, Hassan Dana Mazraeh, Alireza Afzal Aghaei, Kourosh Parand:
deepFDEnet: A Novel Neural Network Architecture for Solving Fractional Differential Equations. CoRR abs/2309.07684 (2023) - 2022
- [j38]Yasaman Lotfi, Kourosh Parand:
Anti-aliasing of gray-scale/color/outline images: Looking through the lens of numerical approaches for PDE-based models. Comput. Math. Appl. 113: 130-147 (2022) - [j37]Yasaman Lotfi, Kourosh Parand:
Efficient image denoising technique using the meshless method: Investigation of operator splitting RBF collocation method for two anisotropic diffusion-based PDEs. Comput. Math. Appl. 113: 315-331 (2022) - [j36]Fatemeh Baharifard, K. Parand, M. M. Rashidi:
Novel solution for heat and mass transfer of a MHD micropolar fluid flow on a moving plate with suction and injection. Eng. Comput. 38(1): 13-30 (2022) - [j35]Mohammad M. Moayeri, Amir H. Hadian-Rasanan, S. Latifi, K. Parand, J. A. Rad:
An efficient space-splitting method for simulating brain neurons by neuronal synchronization to control epileptic activity. Eng. Comput. 38(1): 819-846 (2022) - [j34]Mohammad M. Moayeri, Mohammad Hemami, Jamal Amani Rad, Kourosh Parand:
NPDS toolbox: Neural population (De) synchronization toolbox for MATLAB. Neurocomputing 506: 206-212 (2022) - [i19]Arsham Gholamzadeh Khoee, Kimia Mohammadi Mohammadi, Mostafa Jani, Kourosh Parand:
A least squares support vector regression for anisotropic diffusion filtering. CoRR abs/2202.00595 (2022) - [i18]Maryam Babaei, Kimia Mohammadi Mohammadi, Zeinab Hajimohammadi, Kourosh Parand:
JDNN: Jacobi Deep Neural Network for Solving Telegraph Equation. CoRR abs/2212.12700 (2022) - 2021
- [j33]K. Parand, M. Hasani, Mostafa Jani, Hafez Yari:
Numerical simulation of Volterra-Fredholm integral equations using least squares support vector regression. Comput. Appl. Math. 40(7) (2021) - [j32]Mohammad Hemami, Jamal Amani Rad, Kourosh Parand:
Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: A numerical simulation approach. Commun. Nonlinear Sci. Numer. Simul. 103: 105961 (2021) - [j31]Yasaman Lotfi, Kourosh Parand, Kamal Rashedi, Jamal Amani Rad:
Numerical study of temperature distribution in an inverse moving boundary problem using a meshless method. Eng. Comput. 37(1): 461-475 (2021) - [j30]A. Hajiollow, Yasaman Lotfi, K. Parand, Amir H. Hadian-Rasanan, Kamal Rashedi, J. A. Rad:
Recovering a moving boundary from Cauchy data in an inverse problem which arises in modeling brain tumor treatment: the (quasi)linearization idea combined with radial basis functions (RBFs) approximation. Eng. Comput. 37(3): 1735-1749 (2021) - [j29]K. Parand, Alireza Afzal Aghaei, Mostafa Jani, Ali Ghodsi:
A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression. Math. Comput. Simul. 180: 114-128 (2021) - [j28]Mehdi Delkhosh, Kourosh Parand:
A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations. Numer. Algorithms 88(2): 729-766 (2021) - [i17]Zeinab Hajimohammadi, Kourosh Parand, Ali Ghodsi:
Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations. CoRR abs/2106.14320 (2021) - 2020
- [j27]Mohammad M. Moayeri, J. A. Rad, K. Parand:
Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: A numerical simulation study. Comput. Math. Appl. 80(8): 1887-1927 (2020) - [j26]Kobra Rabiei, K. Parand:
Collocation method to solve inequality-constrained optimal control problems of arbitrary order. Eng. Comput. 36(1): 115-125 (2020) - [j25]Kourosh Parand, Hafez Yari, Mehdi Delkhosh:
Solving two-dimensional integral equations of the second kind on non-rectangular domains with error estimate. Eng. Comput. 36(2): 725-739 (2020) - [j24]Mohammad Hemami, Jamal Amani Rad, Kourosh Parand:
The use of space-splitting RBF-FD technique to simulate the controlled synchronization of neural networks arising from brain activity modeling in epileptic seizures. J. Comput. Sci. 42: 101090 (2020) - [i16]Maysum Panju, Kourosh Parand, Ali Ghodsi:
Symbolically Solving Partial Differential Equations using Deep Learning. CoRR abs/2011.06673 (2020)
2010 – 2019
- 2019
- [j23]Babak Azarnavid, Mohammad Nabati, Mahdi Emamjome, Kourosh Parand:
Imposing various boundary conditions on positive definite kernels. Appl. Math. Comput. 361: 453-465 (2019) - [j22]Mehdi Delkhosh, Kourosh Parand:
A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order. Comput. Appl. Math. 38(2) (2019) - [j21]Mohammad Hemami, Kourosh Parand, Jamal Amani Rad:
Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: Application to epileptic seizures. Comput. Math. Appl. 78(11): 3644-3677 (2019) - [j20]Mehdi Delkhosh, Kourosh Parand:
Generalized pseudospectral method: Theory and applications. J. Comput. Sci. 34: 11-32 (2019) - [i15]Mehdi Delkhosh, Kourosh Parand, Amir H. Hadian-Rasanan:
A development of Lagrange interpolation, Part I: Theory. CoRR abs/1904.12145 (2019) - [i14]Amir Hosein Hadian-Rasanan, Mehran Nikarya, Arman Bahramnezhad, Mohammad M. Moayeri, Kourosh Parand:
A comparison between pre-Newton and post-Newton approaches for solving a physical singular second-order boundary problem in the semi-infinite interval. CoRR abs/1909.04066 (2019) - 2018
- [j19]Babak Azarnavid, Kourosh Parand, Saeid Abbasbandy:
An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition. Commun. Nonlinear Sci. Numer. Simul. 59: 544-552 (2018) - [j18]Babak Azarnavid, Kourosh Parand:
An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems. J. Comput. Appl. Math. 328: 151-163 (2018) - 2017
- [j17]Jamal Amani Rad, Kamal Rashedi, Kourosh Parand, Hojatollah Adibi:
The meshfree strong form methods for solving one dimensional inverse Cauchy-Stefan problem. Eng. Comput. 33(3): 547-571 (2017) - [j16]Jamal Amani Rad, Kourosh Parand:
Pricing American options under jump-diffusion models using local weak form meshless techniques. Int. J. Comput. Math. 94(8): 1694-1718 (2017) - [j15]Kourosh Parand, Mehdi Delkhosh:
Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions. J. Comput. Appl. Math. 317: 624-642 (2017) - [i13]Fattaneh Bayatbabolghani, Kourosh Parand:
A Comparison Between Laguerre, Hermite, and Sinc Orthogonal Functions. CoRR abs/1709.10352 (2017) - 2015
- [j14]Jamal Amani Rad, Kourosh Parand, Luca Vincenzo Ballestra:
Pricing European and American options by radial basis point interpolation. Appl. Math. Comput. 251: 363-377 (2015) - [j13]Jamal Amani Rad, Kourosh Parand, Saeid Abbasbandy:
Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options. Commun. Nonlinear Sci. Numer. Simul. 22(Issues): 1178-1200 (2015) - [i12]Kourosh Parand, Sajjad Khaleqi:
Rational Chebyshev of Second Kind Collocation Method for Solving a Class of Astrophysics Problems. CoRR abs/1508.07240 (2015) - 2014
- [j12]Jamal Amani Rad, Saeed Kazem, K. Parand:
Optimal control of a parabolic distributed parameter system via radial basis functions. Commun. Nonlinear Sci. Numer. Simul. 19(8): 2559-2567 (2014) - [j11]K. Parand, J. A. Rad, M. Nikarya:
A new numerical algorithm based on the first kind of modified Bessel function to solve population growth in a closed system. Int. J. Comput. Math. 91(6): 1239-1254 (2014) - [i11]J. A. Rad, Saeed Kazem, M. Shaban, K. Parand:
A new operational matrix based on Bernoulli polynomials. CoRR abs/1408.2207 (2014) - [i10]J. A. Rad, Saeed Kazem, K. Parand:
The meshless method for solving radiative transfer problems in a slab medium based on radial basis functions. CoRR abs/1408.2209 (2014) - [i9]Jamal Amani Rad, Kourosh Parand, Saeid Abbasbandy:
Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options. CoRR abs/1412.6063 (2014) - [i8]Jamal Amani Rad, Kourosh Parand:
Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov-Galerkin method. CoRR abs/1412.6064 (2014) - 2013
- [j10]K. Parand, J. A. Rad:
Kansa method for the solution of a parabolic equation with an unknown spacewise-dependent coefficient subject to an extra measurement. Comput. Phys. Commun. 184(3): 582-595 (2013) - [j9]K. Parand, Mehdi Dehghan, Ali Pirkhedri:
The Sinc-collocation method for solving the Thomas-Fermi equation. J. Comput. Appl. Math. 237(1): 244-252 (2013) - [i7]K. Parand, Sayyed-Ali Hossayni, J. A. Rad:
The application of the exact operational matrices for solving the Emden-Fowler equations, arising in astrophysics. CoRR abs/1310.1906 (2013) - [i6]K. Parand, Saeed Zafarvahedian, Sayyed-Ali Hossayni:
GPU-acceleration of parallel unconditionally stable group explicit finite difference method. CoRR abs/1310.3422 (2013) - 2012
- [j8]K. Parand, J. A. Rad:
Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions. Appl. Math. Comput. 218(9): 5292-5309 (2012) - [j7]Saeed Kazem, J. A. Rad, K. Parand:
A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: A comparative study. Comput. Math. Appl. 64(4): 399-412 (2012) - [j6]J. A. Rad, Saeed Kazem, K. Parand:
A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions. Comput. Math. Appl. 64(6): 2049-2065 (2012) - [j5]Saeed Kazem, J. A. Rad, K. Parand, M. Shaban, Hasan Saberi:
The numerical study on the unsteady flow of gas in a semi-infinite porous medium using an RBF collocation method. Int. J. Comput. Math. 89(16): 2240-2258 (2012) - 2010
- [j4]K. Parand, Mehdi Dehghan, A. R. Rezaei, S. M. Ghaderi:
An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method. Comput. Phys. Commun. 181(6): 1096-1108 (2010) - [i5]K. Parand, Mehdi Dehghan, A. R. Rezaei, S. M. Ghaderi:
An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method. CoRR abs/1008.2063 (2010) - [i4]K. Parand, A. R. Rezaei, A. Taghavi:
Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains. CoRR abs/1008.2313 (2010) - [i3]K. Parand, A. R. Rezaei, S. M. Ghaderi:
An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method. CoRR abs/1008.2322 (2010) - [i2]K. Parand, A. R. Rezaei, A. Taghavi:
Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison. CoRR abs/1008.2337 (2010) - [i1]Kourosh Parand, Saeid Abbasbandy, Saeed Kazem, A. R. Rezaei:
Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium. CoRR abs/1008.2348 (2010)
2000 – 2009
- 2009
- [j3]K. Parand, A. Taghavi:
Rational scaled generalized Laguerre function collocation method for solving the Blasius equation. J. Comput. Appl. Math. 233(4): 980-989 (2009) - [j2]K. Parand, Mehdi Shahini, Mehdi Dehghan:
Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. J. Comput. Phys. 228(23): 8830-8840 (2009) - 2004
- [j1]K. Parand, Mohsen Razzaghi:
Rational Chebyshev tau method for solving Volterra's population model. Appl. Math. Comput. 149(3): 893-900 (2004)
Coauthor Index
aka: J. A. Rad
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