Fundamentals, Laplace's equation, diffusion equation, wave equation

書誌事項

Fundamentals, Laplace's equation, diffusion equation, wave equation

A.P.S. Selvadurai

(Partial differential equations in mechanics / A.P.S. Selvadurai, 1)

Springer-Verlag, c2000

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注記

Includes bibliographical refernces (p. [557]-585) and index

内容説明・目次

内容説明

This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.

目次

1. Mathematical preliminaries.- 2. General concepts in partial differential equations.- 3. Partial differential equations of the first-order.- 4. Partial differential equations of the second-order.- 5. Laplace's equation.- 6. The diffusion equation.- 7. The wave equation.

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