This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

To model transiently thermal responses of numerous thermal shock issues at nano-scale,
Fourier heat conduction law is commonly extended by introducing time rate of heat flux, and …

Predicting crack growth in structural components is a computationally intensive process.
Phase field models of crack growth reduce the computational complications associated with …

This article deals with the implementation of the lattice Boltzmann method (LBM) for the
analyses of non-Fourier heat conduction in 1-D cylindrical and spherical geometries …

Advanced smart materials and structures are under rapid development to meet engineering
challenges for multifunctionality, high reliability, and high efficiency in modern technology …

A fast precise integration method is developed for the time integral of the hyperbolic heat
conduction problem. The wave nature of heat transfer is used to analyze the structure of the …

In this article, a modified cubic B-spline differential quadrature method (MCB-DQM) is
proposed to solve a hyperbolic diffusion problem in which flow motion is affected by both …

In this paper, the transient temperature field around a thermally insulated crack in a
substrate bonded to a coating is obtained using the hyperbolic heat conduction model …

An air-coil sensor (ACS) is a type of induction magnetometer used to measure the variation
of a magnetic field. Due to the limited bandwidth of the coil, its output signal is distorted, a …

In this paper, a stabilized, locally defined, explicit approach is considered to analyse
nonlinear, non-Fourier heat conduction problems. In this sense, a modified central difference …