Kourosh Parand

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 39

Top Topics

Differential Equations

Epileptic Seizures

Anisotropic Diffusion

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Comput. Math. Appl.

Publications

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 (2024)
Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand
An Orthogonal Polynomial Kernel-Based Machine Learning Model for Differential-Algebraic Equations. CoRR (2024)
Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand
Accelerating Fractional PINNs using Operational Matrices of Derivative. CoRR (2024)
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) (2024)
Kourosh Parand, Aida Pakniyat
Hermite Neural Network Simulation for Solving the 2D Schrodinger Equation. CoRR (2024)
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 (2024)
Pegah Ahadian, Maryam Babaei, Kourosh Parand
Using Singular Value Decomposition in a Convolutional Neural Network to Improve Brain Tumor Segmentation Accuracy. CoRR (2024)
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 (2024)
Ali Nosrati Firoozsalari, Hassan Dana Mazraeh, Alireza Afzal Aghaei, Kourosh Parand
deepFDEnet: A Novel Neural Network Architecture for Solving Fractional Differential Equations. CoRR (2023)
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) (2023)
Alireza Afzal Aghaei, Kourosh Parand, Ali Nikkhah, Shakila Jaberi
Solving Falkner-Skan type equations via Legendre and Chebyshev Neural Blocks. CoRR (2023)
Alireza Afzal Aghaei, Kourosh Parand
Hyperparameter optimization of orthogonal functions in the numerical solution of differential equations. CoRR (2023)
Maryam Babaei, Kimia Mohammadi Mohammadi, Zeinab Hajimohammadi, Kourosh Parand
JDNN: Jacobi Deep Neural Network for Solving Telegraph Equation. CoRR (2022)
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 (2022)
Mohammad M. Moayeri, Mohammad Hemami, Jamal Amani Rad, Kourosh Parand
NPDS toolbox: Neural population (De) synchronization toolbox for MATLAB. Neurocomputing 506 (2022)
Arsham Gholamzadeh Khoee, Kimia Mohammadi Mohammadi, Mostafa Jani, Kourosh Parand
A least squares support vector regression for anisotropic diffusion filtering. CoRR (2022)
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 (2022)
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 (2021)
Mehdi Delkhosh, Kourosh Parand
A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations. Numer. Algorithms 88 (2) (2021)
Zeinab Hajimohammadi, Kourosh Parand, Ali Ghodsi
Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations. CoRR (2021)
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) (2021)
Maysum Panju, Kourosh Parand, Ali Ghodsi
Symbolically Solving Partial Differential Equations using Deep Learning. CoRR (2020)
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 (2020)
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) (2020)
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)
Babak Azarnavid, Mohammad Nabati, Mahdi Emamjome, Kourosh Parand
Imposing various boundary conditions on positive definite kernels. Appl. Math. Comput. 361 (2019)
Mehdi Delkhosh, Kourosh Parand, Amir H. Hadian-Rasanan
A development of Lagrange interpolation, Part I: Theory. CoRR (2019)
Mehdi Delkhosh, Kourosh Parand
Generalized pseudospectral method: Theory and applications. J. Comput. Sci. 34 (2019)
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 (2019)
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) (2019)
Babak Azarnavid, Kourosh Parand
An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems. J. Comput. Appl. Math. 328 (2018)
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 (2018)
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) (2017)
Fattaneh Bayatbabolghani, Kourosh Parand
A Comparison Between Laguerre, Hermite, and Sinc Orthogonal Functions. CoRR (2017)
Jamal Amani Rad, Kourosh Parand
Pricing American options under jump-diffusion models using local weak form meshless techniques. Int. J. Comput. Math. 94 (8) (2017)
Kourosh Parand, Mehdi Delkhosh
Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions. J. Comput. Appl. Math. 317 (2017)
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) (2015)
Kourosh Parand, Sajjad Khaleqi
Rational Chebyshev of Second Kind Collocation Method for Solving a Class of Astrophysics Problems. CoRR (2015)
Jamal Amani Rad, Kourosh Parand, Luca Vincenzo Ballestra
Pricing European and American options by radial basis point interpolation. Appl. Math. Comput. 251 (2015)
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 (2014)
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 (2014)
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 (2010)