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Introduction to Computational Fluid Dynamics by M. K. Laha, S. K. Chakrabartty, Pradip Niyogi

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5

Equations of Elliptic Type

Finite difference method for model hyperbolic-type equations were discussed in the previous chapter. In this chapter, finite difference method for model equations of elliptic type have been discussed. Steady-state problems or potential problems are governed by elliptic type equations. Laplace and Poisson equations, that occur abundantly in science and engineering are typical examples of elliptic type equation. A large sparse system of algebraic equations results through discretisation of elliptic equations. So methods for solving such systems of algebraic equations are important in the present discussion.

5.1 INTRODUCTION

As mentioned in Chapter 1, steady-state problems are governed by partial differential equations ...

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