Keller-Box方法及其应用（英文版）
出版时间：2014年版
内容简介
科学和工程中大部分问题都是非线性的。这些问题难以解决。传统的分析近似只对弱非线性问题有效，在强非线性问题前显得力不从心。瓦捷拉维鲁、普拉萨德著的《Keller-Box方法及其应用(精)》介绍了针对非线性问题非常有效的Keller－Box方法的*理论发展和应用。《Keller-Box方法及其应用(精)》前半部分讲述了一些基本的概念，用以帮助读者理解该方法的理论框架，后半部分则给出了大量的在流体领域用Keller－Box方法解决的非线性问题的实例。
目录
Chapter 0 IntroductionReferencesChapter 1 Basics of the Finite DifIFerence Approximations1.1 Finite difference approximations1.2 The initial value problem for ODEs1.3 Some basic numerical methods1.4 Some basic PDEs1.5 Numerical solutioto partial differential equationsReferencesChapter 2 Principles of the Implicit Keller-box Method2.1 Principles of implicit finite difference methods2.2 Finite difference methods2.3 Boundary value problems iordinary differentialequationsReferencesChapter 3 Stability and Convergence of the Implicit Keller-box Method3.1 Convergence of implicit difference methods for parabolic functional differential equations3.1.1 Introduction3.1.2 Discretizatioof mixed problems3.1.3 Solvability of implicit difference functional problems3.1.4 Approximate solutions of difference functional problems3.1.5 Convergence of implicit difference methods3.1.6 Numerical examples3.2 Rate of convergence of finite difference scheme ouniform/non-uniform grids3.2.1 Introduction3.2.2 Analytical results 3.2.3 Numerical results3.3 Stability and convergence of Crank-Nicholsomethod for fractional advectiodispersioequation3.3.1 Introduction3.3.2 Problem formulation3.3.3 Numerical formulatioof the Crank-Nicholsomethod3.3.4 Stability of the Crank-Nicholsomethod3.3.5 Convergence3.3.6 Radial flow problem3.3.7 ConclusionsReferencesChapter 4 Applicatioof the Keller-box Method to Boundary Layer Problems4.1 Flow of a power-law fluid over a stretching sheet4.1.1 Introduction4.1.2 Formulatioof the problem4.1.3 Numerical solutiomethod4.1.4 Results and discussion4.1.5 Concluding remarks4.2 Hydromagnetic flow of a power-law fluid over a stretching sheet4.2.1 Introduction4.2.2 Flow analysis4.2.3 Numerical solutiomethod4.2.4 Results and discussion4.3 MHD Power-law fluid flow and heat transfer over a non-isothermal stretching sheet4.3.1 Introduction4.3.2 Governing equations and similarity analysis4.3.3 Heat transfer4.3.4 Numerical procedure4.3.5 Results and discussion……Chapter 5 Applicatioof the Keller-box Method to Fluid Flow and Heat rlyansfer ProblerusChapter 6 Applicatioof the Keller-box Method to More Advanced ProblemsSubject IndexAuthor Index
