Heat conduction : lumped analysis, integral transforms, symbolic computation

書誌事項

Heat conduction : lumped analysis, integral transforms, symbolic computation

Renato Machado Cotta, Mikhail Dimitrov Mikhailov

Wiley, c1997

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内容説明・目次

内容説明

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.

目次

Improved Formulations. Computational Solutions. Special Topics and Applications. Symbolic-Numerical Computation with Mathematica. Lumped-Differential Formulations with Mathematica. Classical Integral Transform Method with Mathematica. Generalized Integral Transform Technique with Mathematica. References. Appendices.

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