Wiley-Blackwell Heat Conduction: Lumped Analysis, Integral Transforms, Symbolic Computation

This book examines recent developments in various classes of heat conduction. It integrates analysis, physics and computational algorithms, to provide a comprehensive source of information on the physics and computational algorithms in the handling of heat conduction problems, starting from the formulation of the mathematical model and working toward the computational solution implementation. From the Back Cover In this rigorous and thorough analysis three concepts of heat conduction are studied: improved lumped–differential formulations, the generalized integral transform technique, and symbolic computation. Addressing problem formulation, solution methodology and computational implementation, the authors develop an improved lumped–differential formulation for heat conduction problems, present a unified hybrid numerical?analytical solution methodology for linear and nonlinear problems, and provide an introduction to mixed symbolic?numerical computation. Special topics and applications illustrate the theory, including extended surfaces, drying, ablation, conjugated problems and anisotropic media. Sample computer programs, using mixed symbolic?numerical computation, are presented in notebook format, developed within the Mathematica system.