| 书目名称 | Differential and Difference Equations | | 副标题 | A Comparison of Meth | | 编辑 | Leonard C. Maximon | | 视频video | | | 概述 | Provides a unique and detailed comparison of methods of solution of differential and difference equations in application to problems in physical sciences and engineering.Places emphasis on application | | 图书封面 |  | | 描述 | .This book, intended for researchers andgraduate students in physics, applied mathematics and engineering, presents adetailed comparison of the important methods of solution for lineardifferential and difference equations - variation of constants, reduction oforder, Laplace transforms and generating functions - bringing out thesimilarities as well as the significant differences in the respective analyses.Equations of arbitrary order are studied, followed by a detailed analysis forequations of first and second order. Equations with polynomial coefficients areconsidered and explicit solutions for equations with linear coefficients aregiven, showing significant differences in the functional form of solutions ofdifferential equations from those of difference equations. An alternativemethod of solution involving transformation of both the dependent andindependent variables is given for both differential and difference equations.A comprehensive, detailed treatment of Green’s functions and the associatedinitial and boundary conditions is presented for differential and differenceequations of both arbitrary and second order. A dictionary of differenceequations with polynomial coefficients p | | 出版日期 | Book 2016 | | 关键词 | Solution of linear differential equations; Solution of linear difference equations; Wronskian determin | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-29736-1 | | isbn_softcover | 978-3-319-80639-6 | | isbn_ebook | 978-3-319-29736-1 | | copyright | Springer International Publishing Switzerland 2016 |
The information of publication is updating
|
|
发表于 2025-3-21 19:17:56
