Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

Inverse problems are central to modern applied mathematics, posing the challenge of deducing causes from observed effects across numerous disciplines including geophysics, medical imaging and ...

Department of Mathematics, University of Lagos, Lagos, Nigeria. Department of Mathematics, Yaba College of Technology, Lagos, Nigeria. Department of Mechanical Engineering, Yaba College of Technology, ...

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). FBPINNs divide the ...

For this system, the initial values for the concentrations are derived from equilibrium considerations (as a function of parameters) or are provided as known values. The experiment used to collect the ...

1 Electrical and Computer Engineering Department, American University of Beirut, Beirut, Lebanon. 2 Beirut Research and Innovation Center, Lebanese Center for Studies and Research, Beirut, Lebanon.

If today's college students could find a way to get their hands on a copy of Facebook's latest neural network, they could cheat all the way through Calc 3. They could even solve the differential ...

Abstract: The article gives consideration to the problem of the open dynamic systems' modeling. We propose its solution with the help of stochastic systems of differential equations. We provide the ...