Linear Partial Differential and Difference Equations and Simultaneous Systems with Constant or Homogeneous Coefficients: With Constant or Homogeneous … and Physics for Science and Technology)
by 作者: Luis Manuel Braga da Costa Campos (Author), Luís António Raio Vilela (Author)
Publisher Finelybook 出版社: CRC Press
Edition 版本: 1st
Publication Date 出版日期: 2024-06-07
Language 语言: English
Pages 页数: 214 pages
ISBN-10 书号: 1032624736
ISBN-13 书号: 9781032624730
Book Description
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.
About the Author
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.
