245 citations · 562 across the 35 of their papers we have counts for
3 papers · 1 filter
deepFDEnet: A Novel Neural Network Architecture for Solving Fractional Differential Equations
Ali Nosrati Firoozsalari, Hassan Dana Mazraeh, Alireza Afzal Aghaei +1
The primary goal of this research is to propose a novel architecture for a deep neural network that can solve fractional differential equations accurately. A Gaussian integration r…
Solving Falkner-Skan type equations via Legendre and Chebyshev Neural Blocks
Alireza Afzal Aghaei, Kourosh Parand, Ali Nikkhah +1
In this paper, a new deep-learning architecture for solving the non-linear Falkner-Skan equation is proposed. Using Legendre and Chebyshev neural blocks, this approach shows how or…
Hyperparameter optimization of orthogonal functions in the numerical solution of differential equations
Alireza Afzal Aghaei, Kourosh Parand
This paper considers the hyperparameter optimization problem of mathematical techniques that arise in the numerical solution of differential and integral equations. The well-known…