I'm currently trying to apply DeepXDE to a certain type of integro-differential equation. Although all integrals are 1-dimensional, I'm having difficulties because ...
ABSTRACT: This study compares the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential equations are ...
Abstract: The 2D problem of finding the electric field for a line-source illuminating a lossless Veselago lens is cast as an integro-differential equation. The integral corresponds to a surface ...
1 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt 2 Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt This paper investigates the ...
In this paper we interest concerns an integro-differential equation of Volterra when the derivative of the solution appears under the sign of integration in a non-linear way. The derivation is the ...
Thank you for your outstanding DeepXDE support. We have been able to use DeepXDE for a real life transport problem in porous matter for a coupled PDE system, the results are going to be published soon ...
A simple model for QCD dynamics in which the DGLAP integro-differential equation may be solved analytically has been considered in our previous papers arXiv:1611.08787 [hep-ph] and arXiv:1906.07924 ...
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