This Project is based on the Galerkin method of solving differencial equations. A weak formulation of the Schrodinger equation is used with a set of basis functions to break the continuous ...
ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...
Abstract: In this work, the reduced scalar potential is utilized to derive a finite element formulation capable of handling hysteretic nonlinear material laws. The Fréchet derivative is employed to ...
Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...
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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 ...
Coarse-mesh finite difference (CMFD) method is a widely used numerical acceleration method. However, the stability of CMFD method is not good for the problems with optically thick regions. In this ...
An Extraordinary Milestone We’re celebrating our 1 trillionth web page archived with a peer-to-peer (P2P) fundraiser—a new way for our patrons to help support our work. If you find our library useful, ...
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