5 citations · 11 across the 4 of their papers we have counts for
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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…
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…