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[MATLAB] FDM

저작시기 2009.06 |등록일 2009.06.17 파워포인트파일MS 파워포인트 (pptx) | 8페이지 | 가격 2,500원

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Finite Difference Method for the Solution of Laplace Equation

목차

1.Laplace Equation(PDE)
2.Finite Difference Method(FDM)
3.Solve the Example

본문내용

2. Finite Difference Method(FDM)
What is the FDM? : In mathematics, finite-difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.
For example, consider the ordinary differential equation
The Euler method for solving this equation uses the finite difference quotient
u`(x) = 3u(x) + 2
to approximate the differential equation by first substituting in for u`(x) and applying a little algebra to get

The last equation is a finite-difference equation, and solving this equation gives an approximate solution to the differential equation.

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