Fractional physics-informed neural networks for time-fractional phase field models
S Wang, H Zhang, X Jiang - Nonlinear Dynamics, 2022 - Springer
In this paper, a new fractional physics-informed neural networks (fPINNs) is proposed, which
combines fPINNs with spectral collocation method to solve the time-fractional phase field …
combines fPINNs with spectral collocation method to solve the time-fractional phase field …
[HTML][HTML] Simultaneous identification of parameters and initial datum of reaction diffusion system by optimization method
In this paper, we study an inverse problem of reconstructing two time independent
coefficients and the initial data in the linear reaction diffusion system from the arbitrary …
coefficients and the initial data in the linear reaction diffusion system from the arbitrary …
[HTML][HTML] Uniqueness and stability of an inverse problem for a phase field model using data from one component
B Wu, Q Chen, Z Wang - Computers & Mathematics with Applications, 2013 - Elsevier
We study an inverse problem of determining a spatial varying coefficient in a parabolic–
hyperbolic phase field model with the following observation data of only one component: the …
hyperbolic phase field model with the following observation data of only one component: the …
Inverse problem for a Cahn–Hilliard type system modeling tumor growth
In this paper, we address an inverse problem of reconstructing a space-dependent
semilinear coefficient in the tumor growth model described by a system of semilinear partial …
semilinear coefficient in the tumor growth model described by a system of semilinear partial …
Simultaneous identification of two time independent coefficients in a nonlinear phase field system
S Gnanavel, N Barani Balan… - Journal of Optimization …, 2014 - Springer
In this article, we study a simultaneous reconstruction of two time independent parameters in
a nonlinear phase field system by final overdetermination data. To this end, the given …
a nonlinear phase field system by final overdetermination data. To this end, the given …
Inverse Problem and Trajectory Controllability for the Swift-hohenberg Equation
A Anbu, BB Natesan - Indian Journal of Industrial and Applied …, 2019 - indianjournals.com
This article studies an internal type inverse problem that consists of recovering a nonlinear
coefficient in the Swift-Hohenberg (SH) equation and establish the controllability to the …
coefficient in the Swift-Hohenberg (SH) equation and establish the controllability to the …