Keller-Box方法及其應用（英文版）

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作　者：	（美）瓦捷拉維魯（Vajravelu,K.），（?。┢绽_德（Prasad,K.V.）著
出版社：	高等教育出版社
叢編項：
標　簽：	外語英文版英語讀物

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ISBN：	9787040388916	出版時間：	2014-01-01	包裝：	精裝
開本：	16開	頁數(shù)：	401	字數(shù)：

內(nèi)容簡介

　　科學和工程中大部分問題都是非線性的，這些問題難以解決。傳統(tǒng)的分析近似只對弱非線性問題有效，在強非線性問題前則顯得力不從心?！禟eller-Box 方法及其應用（英文版）》介紹了針對非線性問題非常有效的Keller-Box方法的最新理論發(fā)展和應用。《Keller-Box 方法及其應用（英文版）》前半部分講述了一些基本的概念，用以幫助讀者理解該方法的理論框架，后半部分則給出了該方法在流體領域解決非線性問題的大量實例。Kuppalapalle Vajravelu是美國中佛羅里達大學數(shù)學，力學、材料以及航空和航天工程教授，研究領域為非線性方程、非線性力學、熱傳導、數(shù)值分析、同倫分析方法等，是Differential Equations and Nonlinear Mechanics的創(chuàng)刊主編。

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圖書目錄

Chapter 0 Introduction
References
Chapter 1 Basics of the Finite DifIFerence Approximations
1.1 Finite difference approximations
1.2 The initial value problem for ODEs
1.3 Some basic numerical methods
1.4 Some basic PDEs
1.5 Numerical solution to partial differential equations
References
Chapter 2 Principles of the Implicit Keller-box Method
2.1 Principles of implicit finite difference methods
2.2 Finite difference methods
2.3 Boundary value problems in ordinary differential
equations
References
Chapter 3 Stability and Convergence of the Implicit Keller-box Method
3.1 Convergence of implicit difference methods for parabolic functional differential equations
3.1.1 Introduction
3.1.2 Discretization of mixed problems
3.1.3 Solvability of implicit difference functional problems
3.1.4 Approximate solutions of difference functional problems
3.1.5 Convergence of implicit difference methods
3.1.6 Numerical examples
3.2 Rate of convergence of finite difference scheme on uniform/non-uniform grids
3.2.1 Introduction
3.2.2 Analytical results
3.2.3 Numerical results
3.3 Stability and convergence of Crank-Nicholson method for fractional advection dispersion equation
3.3.1 Introduction
3.3.2 Problem formulation
3.3.3 Numerical formulation of the Crank-Nicholson method
3.3.4 Stability of the Crank-Nicholson method
3.3.5 Convergence
3.3.6 Radial flow problem
3.3.7 Conclusions
References
Chapter 4 Application of the Keller-box Method to Boundary Layer Problems
4.1 Flow of a power-law fluid over a stretching sheet
4.1.1 Introduction
4.1.2 Formulation of the problem
4.1.3 Numerical solution method
4.1.4 Results and discussion
4.1.5 Concluding remarks
4.2 Hydromagnetic flow of a power-law fluid over a stretching sheet
4.2.1 Introduction
4.2.2 Flow analysis
4.2.3 Numerical solution method
4.2.4 Results and discussion
4.3 MHD Power-law fluid flow and heat transfer over a non-isothermal stretching sheet
4.3.1 Introduction
4.3.2 Governing equations and similarity analysis
4.3.3 Heat transfer
4.3.4 Numerical procedure
4.3.5 Results and discussion
……
Chapter 5 Application of the Keller-box Method to Fluid Flow and Heat rlyansfer Problerus
Chapter 6 Application of the Keller-box Method to More Advanced Problems
Subject Index
Author Index