Rational Chebyshev tau method for solving Volterra's population model. - K. Parand 001; Mohsen Razzaghi (Appl. Math. Comput., 2004)

Rational scaled generalized Laguerre function collocation method for solving the Blasius equation. - K. Parand 001; A. Taghavi (J. Comput. Appl. Math., 2009)

Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. - K. Parand 001; Mehdi Shahini; Mehdi Dehghan 002 (J. Comput. Phys., 2009)

Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains - K. Parand 001; A. R. Rezaei; A. Taghavi (CoRR, 2010)

An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method - K. Parand 001; A. R. Rezaei; S. M. Ghaderi (CoRR, 2010)

Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison - K. Parand 001; A. R. Rezaei; A. Taghavi (CoRR, 2010)

Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium - Kourosh Parand; Saeid Abbasbandy; Saeed Kazem; A. R. Rezaei (CoRR, 2010)

An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method. - K. Parand 001; Mehdi Dehghan 002; A. R. Rezaei; S. M. Ghaderi (Comput. Phys. Commun., 2010)

Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions. - K. Parand 001; J. A. Rad (Appl. Math. Comput., 2012)

A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: A comparative study. - Saeed Kazem; J. A. Rad; K. Parand 001 (Comput. Math. Appl., 2012)

A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions. - J. A. Rad; Saeed Kazem; K. Parand 001 (Comput. Math. Appl., 2012)

The numerical study on the unsteady flow of gas in a semi-infinite porous medium using an RBF collocation method. - Saeed Kazem; J. A. Rad; K. Parand 001; M. Shaban; Hasan Saberi (Int. J. Comput. Math., 2012)

The application of the exact operational matrices for solving the Emden-Fowler equations, arising in astrophysics. - K. Parand 001; Sayyed-Ali Hossayni; J. A. Rad (CoRR, 2013)

GPU-acceleration of parallel unconditionally stable group explicit finite difference method. - K. Parand 001; Saeed Zafarvahedian; Sayyed-Ali Hossayni (CoRR, 2013)

Kansa method for the solution of a parabolic equation with an unknown spacewise-dependent coefficient subject to an extra measurement. - K. Parand 001; J. A. Rad (Comput. Phys. Commun., 2013)

The Sinc-collocation method for solving the Thomas-Fermi equation. - K. Parand 001; Mehdi Dehghan 002; Ali Pirkhedri (J. Comput. Appl. Math., 2013)

Optimal control of a parabolic distributed parameter system via radial basis functions. - Jamal Amani Rad; Saeed Kazem; K. Parand 001 (Commun. Nonlinear Sci. Numer. Simul., 2014)

The meshless method for solving radiative transfer problems in a slab medium based on radial basis functions. - J. A. Rad; Saeed Kazem; K. Parand 001 (CoRR, 2014)

A new operational matrix based on Bernoulli polynomials. - J. A. Rad; Saeed Kazem; M. Shaban; K. Parand 001 (CoRR, 2014)

Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov-Galerkin method. - Jamal Amani Rad; Kourosh Parand (CoRR, 2014)

A new numerical algorithm based on the first kind of modified Bessel function to solve population growth in a closed system. - K. Parand 001; J. A. Rad; Mehran Nikarya (Int. J. Comput. Math., 2014)

Pricing European and American options by radial basis point interpolation. - Jamal Amani Rad; Kourosh Parand; Luca Vincenzo Ballestra (Appl. Math. Comput., 2015)

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. - Jamal Amani Rad; Kourosh Parand; Saeid Abbasbandy (Commun. Nonlinear Sci. Numer. Simul., 2015)

Rational Chebyshev of Second Kind Collocation Method for Solving a Class of Astrophysics Problems. - Kourosh Parand; Sajjad Khaleqi (CoRR, 2015)

A Comparison Between Laguerre, Hermite, and Sinc Orthogonal Functions. - Fattaneh Bayatbabolghani; Kourosh Parand (CoRR, 2017)

The meshfree strong form methods for solving one dimensional inverse Cauchy-Stefan problem. - Jamal Amani Rad; Kamal Rashedi; Kourosh Parand; Hojatollah Adibi (Eng. Comput., 2017)

Pricing American options under jump-diffusion models using local weak form meshless techniques. - Jamal Amani Rad; Kourosh Parand (Int. J. Comput. Math., 2017)

Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions. - Kourosh Parand; Mehdi Delkhosh (J. Comput. Appl. Math., 2017)

An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition. - Babak Azarnavid; Kourosh Parand; Saeid Abbasbandy (Commun. Nonlinear Sci. Numer. Simul., 2018)

An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems. - Babak Azarnavid; Kourosh Parand (J. Comput. Appl. Math., 2018)

Imposing various boundary conditions on positive definite kernels. - Babak Azarnavid; Mohammad Nabati; Mahdi Emamjome; Kourosh Parand (Appl. Math. Comput., 2019)

A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order. - Mehdi Delkhosh; Kourosh Parand (Comput. Appl. Math., 2019)

Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: Application to epileptic seizures. - Mohammad Hemami; Kourosh Parand; Jamal Amani Rad (Comput. Math. Appl., 2019)

A development of Lagrange interpolation, Part I: Theory. - Mehdi Delkhosh; Kourosh Parand; Amir H. Hadian-Rasanan (CoRR, 2019)

A comparison between pre-Newton and post-Newton approaches for solving a physical singular second-order boundary problem in the semi-infinite interval. - Amir Hosein Hadian-Rasanan; Mehran Nikarya; Arman Bahramnezhad; Mohammad M. Moayeri; Kourosh Parand (CoRR, 2019)

Generalized pseudospectral method: Theory and applications. - Mehdi Delkhosh; Kourosh Parand (J. Comput. Sci., 2019)

Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: A numerical simulation study. - Mohammad M. Moayeri; J. A. Rad; K. Parand 001 (Comput. Math. Appl., 2020)

Symbolically Solving Partial Differential Equations using Deep Learning. - Maysum Panju 001; Kourosh Parand; Ali Ghodsi 001 (CoRR, 2020)

Solving two-dimensional integral equations of the second kind on non-rectangular domains with error estimate. - Kourosh Parand; Hafez Yari; Mehdi Delkhosh (Eng. Comput., 2020)

Collocation method to solve inequality-constrained optimal control problems of arbitrary order. - Kobra Rabiei; K. Parand 001 (Eng. Comput., 2020)

The use of space-splitting RBF-FD technique to simulate the controlled synchronization of neural networks arising from brain activity modeling in epileptic seizures. - Mohammad Hemami; Jamal Amani Rad; Kourosh Parand (J. Comput. Sci., 2020)

Numerical simulation of Volterra-Fredholm integral equations using least squares support vector regression. - K. Parand 001; M. Hasani; Mostafa Jani; Hafez Yari (Comput. Appl. Math., 2021)

Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: A numerical simulation approach. - Mohammad Hemami; Jamal Amani Rad; Kourosh Parand (Commun. Nonlinear Sci. Numer. Simul., 2021)

Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations. - Zeinab Hajimohammadi; Kourosh Parand; Ali Ghodsi 001 (CoRR, 2021)

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. - A. Hajiollow; Yasaman Lotfi; K. Parand 001; Amir H. Hadian-Rasanan; Kamal Rashedi; J. A. Rad (Eng. Comput., 2021)

Numerical study of temperature distribution in an inverse moving boundary problem using a meshless method. - Yasaman Lotfi; Kourosh Parand; Kamal Rashedi; Jamal Amani Rad (Eng. Comput., 2021)

A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression. - K. Parand 001; Alireza Afzal Aghaei; Mostafa Jani; Ali Ghodsi 001 (Math. Comput. Simul., 2021)

A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations. - Mehdi Delkhosh; Kourosh Parand (Numer. Algorithms, 2021)

Anti-aliasing of gray-scale/color/outline images: Looking through the lens of numerical approaches for PDE-based models. - Yasaman Lotfi; Kourosh Parand (Comput. Math. Appl., 2022)

Efficient image denoising technique using the meshless method: Investigation of operator splitting RBF collocation method for two anisotropic diffusion-based PDEs. - Yasaman Lotfi; Kourosh Parand (Comput. Math. Appl., 2022)

A least squares support vector regression for anisotropic diffusion filtering. - Arsham Gholamzadeh Khoee; Kimia Mohammadi Mohammadi; Mostafa Jani; Kourosh Parand (CoRR, 2022)

JDNN: Jacobi Deep Neural Network for Solving Telegraph Equation. - Maryam Babaei; Kimia Mohammadi Mohammadi; Zeinab Hajimohammadi; Kourosh Parand (CoRR, 2022)

Novel solution for heat and mass transfer of a MHD micropolar fluid flow on a moving plate with suction and injection. - Fatemeh Baharifard; K. Parand 001; M. M. Rashidi (Eng. Comput., 2022)

An efficient space-splitting method for simulating brain neurons by neuronal synchronization to control epileptic activity. - Mohammad M. Moayeri; Amir H. Hadian-Rasanan; S. Latifi; K. Parand 001; J. A. Rad (Eng. Comput., 2022)

NPDS toolbox: Neural population (De) synchronization toolbox for MATLAB. - Mohammad M. Moayeri; Mohammad Hemami; Jamal Amani Rad; Kourosh Parand (Neurocomputing, 2022)

Hyperparameter optimization of orthogonal functions in the numerical solution of differential equations. - Alireza Afzal Aghaei; Kourosh Parand (CoRR, 2023)

Solving Falkner-Skan type equations via Legendre and Chebyshev Neural Blocks. - Alireza Afzal Aghaei; Kourosh Parand; Ali Nikkhah; Shakila Jaberi (CoRR, 2023)

deepFDEnet: A Novel Neural Network Architecture for Solving Fractional Differential Equations. - Ali Nosrati Firoozsalari; Hassan Dana Mazraeh; Alireza Afzal Aghaei; Kourosh Parand (CoRR, 2023)

FPGA-orthopoly: a hardware implementation of orthogonal polynomials. - Mohsen Asghari; Amir Hosein Hadian-Rasanan; Saeid Gorgin 001; Dara Rahmati; K. Parand 001 (Eng. Comput., 2023)

The novel learning solutions to nonlinear differential models on a semi-infinite domain. - Zeinab Hajimohammadi; Simin Shekarpaz; K. Parand 001 (Eng. Comput., 2023)

A Novel Learning Approach for Different Profile Shapes of Convecting-Radiating Fins Based on Shifted Gegenbauer LSSVM. - Elyas Shivanian; Zeinab Hajimohammadi; Fatemeh Baharifard; Kourosh Parand; Ramin Kazemi (New Math. Nat. Comput., 2023)

GEPINN: An innovative hybrid method for a symbolic solution to the Lane-Emden type equation based on grammatical evolution and physics-informed neural networks. - Hassan Dana Mazraeh; Kourosh Parand (Astron. Comput., 2024)

Using Singular Value Decomposition in a Convolutional Neural Network to Improve Brain Tumor Segmentation Accuracy. - Pegah Ahadian; Maryam Babaei; Kourosh Parand (CoRR, 2024)

Accelerating Fractional PINNs using Operational Matrices of Derivative. - Tayebeh Taheri; Alireza Afzal Aghaei; Kourosh Parand (CoRR, 2024)

An Orthogonal Polynomial Kernel-Based Machine Learning Model for Differential-Algebraic Equations. - Tayebeh Taheri; Alireza Afzal Aghaei; Kourosh Parand (CoRR, 2024)

Hermite Neural Network Simulation for Solving the 2D Schrodinger Equation. - Kourosh Parand; Aida Pakniyat (CoRR, 2024)

Solving the decision-making differential equations from eye fixation data in Unity software by using Hermite Long-Short-Term Memory neural network. - Kourosh Parand; Saeed Setayeshi 001; Mir Mohsen Pedram; Ali Yoonesi; Aida Pakniyat (CoRR, 2024)

PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems. - Alireza Afzal Aghaei; Mahdi Movahedian Moghaddam; Kourosh Parand (CoRR, 2024)

A new method based on least-squares support vector regression for solving optimal control problems. - Mitra Bolhassani; Hassan Dana Mazraeh; Kourosh Parand (Kybernetika, 2024)

Solving a class of Thomas-Fermi equations: A new solution concept based on physics-informed machine learning. - Maryam Babaei; Alireza Afzal Aghaei; Zahra Kazemi; Mahdieh Jamshidi; Reza Ghaderi; Kourosh Parand (Math. Comput. Simul., 2024)

A neural network approach for solving nonlinear differential equations of Lane-Emden type. - K. Parand 001; Alireza Afzal Aghaei; S. Kiani; T. Ilkhas Zadeh; Z. Khosravi (Eng. Comput., 2024)

A machine learning framework for efficiently solving Fokker-Planck equations. - Ali Nosrati Firoozsalari; Alireza Afzal Aghaei; Kourosh Parand (Comput. Appl. Math., 2024)

Bridging machine learning and weighted residual methods for delay differential equations of fractional order. - Tayebeh Taheri; Alireza Afzal Aghaei; Kourosh Parand (Appl. Soft Comput., 2024)

An innovative combination of deep Q-networks and context-free grammars for symbolic solutions to differential equations. - Hassan Dana Mazraeh; Kourosh Parand (Eng. Appl. Artif. Intell., 2025)

A three-stage framework combining neural networks and Monte Carlo tree search for approximating analytical solutions to the Thomas-Fermi equation. - Hassan Dana Mazraeh; Kourosh Parand (J. Comput. Sci., 2025)

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations. - Mahdi Movahedian Moghaddam; Kourosh Parand; Saeed Reza Kheradpisheh (CoRR, 2025)

A new kernel-based approach for solving general fractional (integro)-differential-algebraic equations. - Tayebeh Taheri; Alireza Afzal Aghaei; Kourosh Parand (Eng. Comput., 2025)

BridgeNet: A Hybrid, Physics-Informed Machine Learning Framework for Solving High-Dimensional Fokker-Planck Equations. - Elmira Mirzabeigi; Rezvan Salehi; Kourosh Parand (CoRR, 2025)

LyAm: Robust Non-Convex Optimization for Stable Learning in Noisy Environments. - Elmira Mirzabeigi; Sepehr Rezaee; Kourosh Parand (CoRR, 2025)

Approximate symbolic solutions to differential equations using a novel combination of Monte Carlo tree search and physics-informed neural networks approach. - Hassan Dana Mazraeh; Kourosh Parand (Eng. Comput., 2025)

Physics-informed Lane-Emden solvers using Lynx-Net: Implementing radial basis functions in Kolmogorov representation. - Elmira Mirzabeigi; Maryam Babaei; Amir Hossein Karami; Sepehr Rezaee; Rezvan Salehi; Kourosh Parand (Astron. Comput., 2026)

A new Chebyshev operational matrix formulation of least-squares support vector regression for solving fractional integro-differential equations. - Alireza Afzal Aghaei; Armin Ghasem Nejad; Sohrabali Yousefi; Kourosh Parand (J. Comput. Appl. Math., 2026)