A Boundary-Type Numerical Procedure to Solve Nonlinear Nonhomogeneous Backward-in-Time Heat Conduction Equations

A Boundary-Type Numerical Procedure to Solve Nonlinear Nonhomogeneous Backward-in-Time Heat Conduction Equations

In this paper, an explicit boundary-type numerical procedure, including a constraint-type fictitious time integration method (FTIM) and a two-point boundary solution of the Lie-group shooting method (LGSM), is constructed to tackle nonlinear nonhomogeneous backward heat conduction problems (BHCPs)....

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Bibliographic Details
Main Authors: Yung-Wei Chen, Jian-Hung Shen, Yen-Shen Chang, Chun-Ming Chang
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Mathematics
Subjects:
regularization technique
meshless method
ill-posed problem
fictitious time integration method
heat conduction equation
Online Access:https://www.mdpi.com/2227-7390/11/19/4052

Internet

https://www.mdpi.com/2227-7390/11/19/4052

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