Stability estimate for a nonlinear coupled heat transfer model

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation
Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson)
Stability and semilinear evolution equations in Hilbert space
Heat and moisture transfer with sorption and condensation in porous clothing assemblies and numerical simulation
A reaction-diffusion model for a class of nonlinear parabolic equations with moving boundaries: existence, uniqueness, exponential decay and simulation
Stability estimates for a class of semi-linear ill-posed problems
High-order compact schemes for semilinear parabolic moving boundary problems
Variational formulation for a fractional heat transfer model in firefighter protective clothing
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Well-posedness and blow up for IBVP for semilinear parabolic equations and numerical methods
Kolmogorov n-width and Lagrangian physics-informed neural networks: a causality-conforming manifold for convection-dominated PDEs
Inverse problems of textile material design based on clothing heat-moisture comfort
DeepXDE: A Deep Learning Library for Solving Differential Equations
Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay
Thickness determination in textile material design: dynamic modeling and numerical algorithms
An inverse problem of Bilayer textile thickness determination in dynamic heat and moisture transfer
Diffusion in absorbing media