Analogues for the Solution of Boundary-Value Problems considers the simulation of integral methods of solving boundary-value problems. This book is organized into 11 chapters. After the introduction provided in Chapter I, the formulation of some important engineering problems that reduce to the solution of partial differential equations is reviewed in Chapter II. Chapter III covers the mathematical methods for the solution of problems, such as the thermal problem of electrode graphitization and underground coal gasification. The theory of the physical processes of electrical simulation and principles involved in the construction of analogues is elaborated in Chapter IV, while the measurements in electrical analogues is deliberated in Chapter V. Chapters VI to VIII describe the construction of network analyzers and star-integrating networks. The methods of physical simulation for the solution of certain boundary-value problems are analyzed in Chapter IX. Chapters X and XI are devoted to future improvements and developments in analogues for the solution of boundary-value problems. This publication is intended for college students and specialists engaged in solving boundary-value problems.As was shown in Chapter IV, a wide variety of electrical circuits can be fabricated from a small number of components; it is ... This allows the solution on rectangular grids (for example, of the EI-11 and EI-12-types) of problems in any system of coordinates (polar, elliptic etc.). ... in a body, and other analogous processes are replaced by the flow of an electric current through a conductor of similar geometry.
|Title||:||Analogues for the Solution of Boundary-Value Problems|
|Author||:||B. A. Volynskii, V. Ye. Bukhman|
|Publisher||:||Elsevier - 2014-05-17|