Numerical Partial Differential Equations: Finite Difference Methods (Texts in Applied Mathematics) J.W. Thomas
Publisher: Springer

In CFD, we solve the governing equations of given physics (may be differential form or integral form) using some numerical techniques like Finite Difference Method (FDM), Finite Element Method (FEM) or Finite Volume Method (FVM). Module 3: Regression and Curve Fitting Search methods – Concept of interval of uncertainty, reduction ratio, reduction ratios of simple search techniques like exhaustive search, dichotomous search, Fibonacci search and Golden section search – numerical examples. Utility of higher-order numerical methods in solving many problems accurately is required. Geometric programming – examples. Rudiments of finite difference method for partial differential equations, with an example. For Partial Differential Equations. Method of steepest ascent/ steepest descent, conjugate gradient method – examples. A First Course in the Numerical Analysis of Differential Equations, Cambridge Texts in Applied Mathematics. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. Cambridge Texts in Applied Mathematics. The main theme is the integration of the theory of linear PDEs and For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. Computational Fluid Dynamics or simply CFD is an art/method/science/technique of solving mathematical equations governing different physics including flow of fluid, flow of heat, chemical reactions, phase change and many other phenomena. The book provides a clear exposition of essential tools of applied mathematics from a modern point of view and meets complete requirements of engineering and computer science students.