K. Parand

Orcid: 0000-0001-5946-0771

Affiliations:
  • Shahid Beheshti University, Tehran, Iran


According to our database1, K. Parand authored at least 72 papers between 2004 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Bridging machine learning and weighted residual methods for delay differential equations of fractional order.
Appl. Soft Comput., December, 2024

A machine learning framework for efficiently solving Fokker-Planck equations.
Comput. Appl. Math., September, 2024

A neural network approach for solving nonlinear differential equations of Lane-Emden type.
Eng. Comput., April, 2024

Solving a class of Thomas-Fermi equations: A new solution concept based on physics-informed machine learning.
Math. Comput. Simul., 2024

PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems.
CoRR, 2024

Solving the decision-making differential equations from eye fixation data in Unity software by using Hermite Long-Short-Term Memory neural network.
CoRR, 2024

Hermite Neural Network Simulation for Solving the 2D Schrodinger Equation.
CoRR, 2024

An Orthogonal Polynomial Kernel-Based Machine Learning Model for Differential-Algebraic Equations.
CoRR, 2024

Accelerating Fractional PINNs using Operational Matrices of Derivative.
CoRR, 2024

Using Singular Value Decomposition in a Convolutional Neural Network to Improve Brain Tumor Segmentation Accuracy.
CoRR, 2024

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., 2024

2023
A Novel Learning Approach for Different Profile Shapes of Convecting-Radiating Fins Based on Shifted Gegenbauer LSSVM.
New Math. Nat. Comput., March, 2023

The novel learning solutions to nonlinear differential models on a semi-infinite domain.
Eng. Comput., 2023

FPGA-orthopoly: a hardware implementation of orthogonal polynomials.
Eng. Comput., 2023

deepFDEnet: A Novel Neural Network Architecture for Solving Fractional Differential Equations.
CoRR, 2023

Solving Falkner-Skan type equations via Legendre and Chebyshev Neural Blocks.
CoRR, 2023

Hyperparameter optimization of orthogonal functions in the numerical solution of differential equations.
CoRR, 2023

2022
NPDS toolbox: Neural population (De) synchronization toolbox for MATLAB.
Neurocomputing, 2022

An efficient space-splitting method for simulating brain neurons by neuronal synchronization to control epileptic activity.
Eng. Comput., 2022

Novel solution for heat and mass transfer of a MHD micropolar fluid flow on a moving plate with suction and injection.
Eng. Comput., 2022

JDNN: Jacobi Deep Neural Network for Solving Telegraph Equation.
CoRR, 2022

A least squares support vector regression for anisotropic diffusion filtering.
CoRR, 2022

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

Anti-aliasing of gray-scale/color/outline images: Looking through the lens of numerical approaches for PDE-based models.
Comput. Math. Appl., 2022

2021
A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations.
Numer. Algorithms, 2021

A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression.
Math. Comput. Simul., 2021

Numerical study of temperature distribution in an inverse moving boundary problem using a meshless method.
Eng. Comput., 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.
Eng. Comput., 2021

Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations.
CoRR, 2021

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., 2021

Numerical simulation of Volterra-Fredholm integral equations using least squares support vector regression.
Comput. Appl. Math., 2021

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.
J. Comput. Sci., 2020

Collocation method to solve inequality-constrained optimal control problems of arbitrary order.
Eng. Comput., 2020

Solving two-dimensional integral equations of the second kind on non-rectangular domains with error estimate.
Eng. Comput., 2020

Symbolically Solving Partial Differential Equations using Deep Learning.
CoRR, 2020

Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: A numerical simulation study.
Comput. Math. Appl., 2020

2019
Generalized pseudospectral method: Theory and applications.
J. Comput. Sci., 2019

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

A development of Lagrange interpolation, Part I: Theory.
CoRR, 2019

Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: Application to epileptic seizures.
Comput. Math. Appl., 2019

A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order.
Comput. Appl. Math., 2019

Imposing various boundary conditions on positive definite kernels.
Appl. Math. Comput., 2019

2018
An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems.
J. Comput. Appl. Math., 2018

An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition.
Commun. Nonlinear Sci. Numer. Simul., 2018

2017
Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions.
J. Comput. Appl. Math., 2017

Pricing American options under jump-diffusion models using local weak form meshless techniques.
Int. J. Comput. Math., 2017

The meshfree strong form methods for solving one dimensional inverse Cauchy-Stefan problem.
Eng. Comput., 2017

A Comparison Between Laguerre, Hermite, and Sinc Orthogonal Functions.
CoRR, 2017

2015
Rational Chebyshev of Second Kind Collocation Method for Solving a Class of Astrophysics Problems.
CoRR, 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.
Commun. Nonlinear Sci. Numer. Simul., 2015

Pricing European and American options by radial basis point interpolation.
Appl. Math. Comput., 2015

2014
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., 2014

Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov-Galerkin method.
CoRR, 2014

A new operational matrix based on Bernoulli polynomials.
CoRR, 2014

The meshless method for solving radiative transfer problems in a slab medium based on radial basis functions.
CoRR, 2014

Optimal control of a parabolic distributed parameter system via radial basis functions.
Commun. Nonlinear Sci. Numer. Simul., 2014

2013
The Sinc-collocation method for solving the Thomas-Fermi equation.
J. Comput. Appl. Math., 2013

Kansa method for the solution of a parabolic equation with an unknown spacewise-dependent coefficient subject to an extra measurement.
Comput. Phys. Commun., 2013

GPU-acceleration of parallel unconditionally stable group explicit finite difference method.
CoRR, 2013

The application of the exact operational matrices for solving the Emden-Fowler equations, arising in astrophysics.
CoRR, 2013

2012
The numerical study on the unsteady flow of gas in a semi-infinite porous medium using an RBF collocation method.
Int. J. Comput. Math., 2012

A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions.
Comput. Math. Appl., 2012

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., 2012

Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions.
Appl. Math. Comput., 2012

2010
An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method.
Comput. Phys. Commun., 2010

Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium
CoRR, 2010

Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison
CoRR, 2010

An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method
CoRR, 2010

Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains
CoRR, 2010

2009
Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type.
J. Comput. Phys., 2009

Rational scaled generalized Laguerre function collocation method for solving the Blasius equation.
J. Comput. Appl. Math., 2009

2004
Rational Chebyshev tau method for solving Volterra's population model.
Appl. Math. Comput., 2004


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