Laplace Equation Polar Coordinates

A function psi is satisfies the Laplace equation and it is said to be harmonic function

. The solution of the Laplace equation has the properties of sphere. The property states that average value of the spherical surface is equal to value at the center of the sphere. The solution of the Laplace equation is not a local maxima and minima. Laplace equation is always linear. It is also called as second order partial differential equation. Laplace equation also used in polar coordinates. In this article, we learn about Laplace equation in polar coordinates.

Example Problems for Laplace Equation Polar Coordinates:

Laplace equation polar coordinates Example: 1

Solve 'Delta u = 0' 'u(0,y) = 0'

' u(a,y) = 0'

'u(x,0) = 0'

'u(x,b) = f(x)'

'0

by: johnharmer

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