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09/14/2023
deepFDEnet: A Novel Neural Network Architecture for Solving Fractional Differential Equations
The primary goal of this research is to propose a novel architecture for...
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08/07/2023
Solving Falkner-Skan type equations via Legendre and Chebyshev Neural Blocks
In this paper, a new deep-learning architecture for solving the non-line...
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04/27/2023
Hyperparameter optimization of orthogonal functions in the numerical solution of differential equations
This paper considers the hyperparameter optimization problem of mathemat...
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12/24/2022
JDNN: Jacobi Deep Neural Network for Solving Telegraph Equation
In this article, a new deep learning architecture, named JDNN, has been ...
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01/30/2022
A least squares support vector regression for anisotropic diffusion filtering
Anisotropic diffusion filtering for signal smoothing as a low-pass filte...
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06/27/2021
Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations
Various phenomena in biology, physics, and engineering are modeled by di...
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11/12/2020
Symbolically Solving Partial Differential Equations using Deep Learning
We describe a neural-based method for generating exact or approximate so...
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09/09/2019
A comparison between pre-Newton and post-Newton approaches for solving a physical singular second-order boundary problem in the semi-infinite interval
In this paper, two numerical approaches based on the Newton iteration me...
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04/27/2019
A development of Lagrange interpolation, Part I: Theory
In this work, we introduce the new class of functions which can use to s...
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09/27/2017
