World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
4636
World Ranking
2541
National Ranking
22

Overview

Kourosh Parand is affiliated with Shahid Beheshti University in Iran and has a significant research footprint in mathematics, computer science, and physics and astronomy. Their work spans several interconnected subfields with a focus on computational and theoretical approaches.

The primary fields of study for Parand include:

  • Mathematics
  • Computer Science
  • Physics and Astronomy

Within these fields, Parand concentrates on specific subfields such as:

  • Statistical and Nonlinear Physics
  • Modeling and Simulation
  • Numerical Analysis
  • Cognitive Neuroscience
  • Artificial Intelligence

The main topics covered by their research include:

  • Fractional Differential Equations Solutions
  • Model Reduction and Neural Networks
  • Iterative Methods for Nonlinear Equations
  • Neural dynamics and brain function
  • Neural Networks and Applications
  • Nonlinear Dynamics and Pattern Formation
  • Numerical methods for differential equations

Parand has contributed to a number of recent papers published in various scientific journals. Notable recent publications include:

  • "A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression," 2020, Mathematics and Computers in Simulation
  • "Parallel LS-SVM for the numerical simulation of fractional Volterra's population model," 2021, Alexandria Engineering Journal
  • "Fractional Chebyshev deep neural network (FCDNN) for solving differential models," 2021, Chaos Solitons & Fractals
  • "Neuro-cognitive models of single-trial EEG measures describe latent effects of spatial attention during perceptual decision making," 2022, Journal of Mathematical Psychology
  • "GEPINN: An innovative hybrid method for a symbolic solution to the Lane-Emden type equation based on grammatical evolution and physics-informed neural networks," 2024, Astronomy and Computing

Their frequent collaborators include several researchers with a substantial number of joint publications, indicating sustained research partnerships. These co-authors are:

  • Alireza Afzal Aghaei
  • Jamal Amani Rad
  • Zeinab Hajimohammadi
  • Hassan Dana Mazraeh
  • M. Jani

Parand's work has appeared repeatedly in established venues, with some of the more common publication platforms being:

  • arXiv (Cornell University)
  • Engineering With Computers
  • Chaos Solitons & Fractals
  • Computers & Mathematics with Applications
  • bioRxiv (Cold Spring Harbor Laboratory)

Best Publications

  • AN APPROXIMATION ALGORITHM FOR THE SOLUTION OF THE NONLINEAR LANE-EMDEN TYPE EQUATIONS ARISING IN ASTROPHYSICS USING HERMITE FUNCTIONS COLLOCATION METHOD

    K. Parand;Mehdi Dehghan;A.R. Rezaei;S.M. Ghaderi

  • Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type

    K. Parand;M. Shahini;Mehdi Dehghan

  • Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via collocation method based on radial basis functions

    K. Parand;J.A. Rad

  • Rational Legendre Approximation for Solving some Physical Problems on Semi-Infinite Intervals

    K Parand;M Razzaghi;M Razzaghi

  • RATIONAL CHEBYSHEV TAU METHOD FOR SOLVING HIGHERORDER ORDINARY DIFFERENTIAL EQUATIONS

    K Parand;M Razzaghi

  • Rational Chebyshev tau method for solving Volterra's population model

    K. Parand;M. Razzaghi

  • Solving Volterra’s population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions

    Kourosh Parand;Mehdi Delkhosh

  • Sinc-Collocation method for solving astrophysics equations

    K. Parand;A. Pirkhedri

  • Pricing European and American options by radial basis point interpolation

    Jamal Amani Rad;Kourosh Parand;Luca Vincenzo Ballestra

  • Sinc-collocation method for solving the Blasius equation

    K. Parand;Mehdi Dehghan;A. Pirkhedri

  • A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation

    K. Parand;S. Abbasbandy;S. Kazem;J.A. Rad

  • Radial basis functions methods for solving Fokker–Planck equation

    S. Kazem;J.A. Rad;K. Parand

  • Rational Chebyshev pseudospectral approach for solving Thomas–Fermi equation

    K. Parand;M. Shahini

  • NUMERICAL SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH A TAU METHOD BASED ON LEGENDRE AND BERNSTEIN POLYNOMIALS

    J.A. Rad;S. Kazem;M. Shaban;K. Parand

  • Rational scaled generalized Laguerre function collocation method for solving the Blasius equation

    K. Parand;A. Taghavi

  • Accurate solution of the ThomasFermi equation using the fractional order of rational Chebyshev functions

    Kourosh Parand;Mehdi Delkhosh

  • Lagrangian method for solving Lane–Emden type equation arising in astrophysics on semi-infinite domains

    K. Parand;A.R. Rezaei;A. Taghavi

  • The Sinc-collocation method for solving the Thomas-Fermi equation

    K. Parand;Mehdi Dehghan;A. Pirkhedri

  • OPERATIONAL MATRICES TO SOLVE NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF MULTI-ARBITRARY ORDER

    Kourosh Parand;Mehdi Delkhosh

  • An improved numerical method for a class of astrophysics problems based on radial basis functions

    K Parand;S Abbasbandy;S Kazem;A R Rezaei

Frequent Co-Authors

Saeid Abbasbandy
Saeid Abbasbandy Imam Khomeini International University
Mehdi Dehghan
Mehdi Dehghan Amirkabir University of Technology
Mohsen Razzaghi
Mohsen Razzaghi Mississippi State University
Ali Ghodsi
Ali Ghodsi University of Waterloo
Mehdi Hosseinzadeh
Mehdi Hosseinzadeh Washington State University
Ahmet Yildirim
Ahmet Yildirim Ege University
Elyas Shivanian
Elyas Shivanian Imam Khomeini International University

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