Solving a System of Differential Equations Containing a Diffusion Equation with Nonlinear Terms on the Example of Laser Heating in Silicon

Solving a System of Differential Equations Containing a Diffusion Equation with Nonlinear Terms on the Example of Laser Heating in Silicon

We present a finite-difference integration algorithm for solution of a system of differential equations containing a diffusion equation with nonlinear terms. The approach is based on Crank−Nicolson method with predictor−corrector algorithm and provides high stability and precisio...

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Bibliographic Details
Main Authors: Vladimir Lipp, Baerbel Rethfeld, Martin Garcia, Dmitry Ivanov
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Applied Sciences
Subjects:
finite-difference scheme
diffusion equation
laser–matter interaction
semi-implicit algorithm
system of partial differential equations
ultrashort lasers
Online Access:https://www.mdpi.com/2076-3417/10/5/1853

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