5 citations · 11 across the 4 of their papers we have counts for
6 papers
A least squares support vector regression for anisotropic diffusion filtering
Arsham Gholamzadeh Khoee, Kimia Mohammadi Mohammadi, Mostafa Jani +1
Anisotropic diffusion filtering for signal smoothing as a low-pass filter has the advantage of the edge-preserving, i.e., it does not affect the edges that contain more critical da…
Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations
Zeinab Hajimohammadi, Kourosh Parand, Ali Ghodsi
Various phenomena in biology, physics, and engineering are modeled by differential equations. These differential equations including partial differential equations and ordinary dif…
Symbolically Solving Partial Differential Equations using Deep Learning
Maysum Panju, Kourosh Parand, Ali Ghodsi
We describe a neural-based method for generating exact or approximate solutions to differential equations in the form of mathematical expressions. Unlike other neural methods, our…
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 +2
In this paper, two numerical approaches based on the Newton iteration method with spectral algorithms are introduced to solve the Thomas-Fermi equation. That Thomas-Fermi equation…
A development of Lagrange interpolation, Part I: Theory
Mehdi Delkhosh, Kourosh Parand, Amir H. Hadian-Rasanan
In this work, we introduce the new class of functions which can use to solve the nonlinear/linear multi-dimensional differential equations. Based on these functions, a numerical me…
Solving the Boundary Layer Flow of an Eyring-Powell Non-Newtonian Fluid
K. Parand, S. Latifi, M. M. Moayeri
In this paper, the Rational Jacobi (RJ) collocation method is proposed to approximate the solution of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet. Thi…