Abstract: Physics-informed neural networks (PINNs) offer a flexible framework for solving differential equations using physical constraints and data. This study focuses on second-order ...
We also prove that the two sets of Maxwell equations only depend on the non-linear elations of the conformal group of ...
Abstract: In this paper, we give a simple theorem on the waveform relaxation (WR) solution for a system of nonlinear second-order differential equations. It is shown that if the norm of certain ...
In this article, third- and fourth-order accurate explicit time integration methods are developed for effective analyses of various linear and nonlinear dynamic problems stated by second-order ...
† Department of Chemical Engineering, Center of Excellence on Petrochemicals and Material Technology, Faculty of Engineering, Kasetsart University, Bangkok 10900, Thailand ‡ The Center for Advanced ...
Exploring the concepts of Physics Informed Neural Networks. Coding a Physics Informed Neural Network to simulate a harmonic oscillator and solve a simple first-order ordinary differential equation.
The dynamics of an ideal fluid contained in two communicating vessels is studied. Despite the fact that the static properties of this system have been known since antiquity, the knowledge of the ...
C programs that simulate a damped harmonic oscillator, a fundamental concept in physics and engineering. Data visualisation is done using a Python script with the popular matplotlib library.
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