Linear Partial Differential and Difference Equations and Simultaneous Systems with Constant or Homogeneous Coefficients - Rilegato

Braga Da Costa Campos, Luis Manuel; Raio Vilela, Luís António

Rilegato

ISBN 10: 1032624736 ISBN 13: 9781032624730

Casa editrice: CRC Press, 2024

Riassunto

Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series "Mathematics and Physics for Science and Technology," which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions, and includes applications to: acoustic, elastic, water, electromagnetic and other waves; the diffusion of heat, mass, and electricity; and their interactions. This is the third book of the volume.

The book starts with six different methods of solution of linear partial differential equations (p.d.e.) with constant coefficients. One of the methods, namely characteristic polynomial, is then extended to a further five classes, including linear p.d.e. with homogeneous power coefficients and finite difference equations and simultaneous systems of both (simultaneous partial differential equations [s.p.d.e.] and simultaneous finite difference equations [s.f.d.e.]). The applications include detailed solutions of the most important p.d.e. in physics and engineering, including the Laplace, heat, diffusion, telegraph, bar, and beam equations. The free and forced solutions are considered together with boundary, initial, asymptotic, starting, and other conditions.

The book is intended for graduate students and engineers working with mathematical models and can be applied to problems in mechanical, aerospace, electrical, and other branches of engineering dealing with advanced technology, and also in the physical sciences and applied mathematics.

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Informazioni sull'autore

L.M.B.C. Campos was Chair Professor and the Coordinator of the Scientific Area of Applied and Aerospace Mechanics in the Department of Mechanical Engineering and also the director (and founder) of the Center for Aeronautical and Space Science and Technology until retirement in 2020.

L.A. R. Vilela is currently completing an Integrated Master's degree in Aerospace Engineering at Institute Superior Tecnico (1ST) of Lisbon University.

Dalla quarta di copertina

This presents six solution methods for linear partial differential equations (P.D.E.s) with constant coefficients. It covers linear P.D.E.s with homogeneous power coefficients, finite difference equations and simultaneous systems of both, with applications to solutions of the most important P.D.E.s in physics and engineering.

Dettagli dell'edizione

• Editore: CRC Press
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 1032624736
• ISBN 13: 9781032624730
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 214
• Contatto del produttore: Taylor and Francis, GPSR Taylor and Francis; gpsr@taylorandfrancis.com; ; Taylor & Francis Verlag GmbH, Kaufingerstraße 24; München; 80331; Germania