c) The electrostatic potential in a region bounded by the lines x= 0, y = 0, x = 1.5, y = 1.5, is governed by the Laplace Equation = 0. ax? dy The potential is 0 on the lines x = 0, y = 0, and 10 units on the lines x 1.5, y = 1.5. %3D Setting a step size of h = 0.5, write out a matrix equation for the values of Pij = ¢(ih, jh) at the interior mesh points.

c) The electrostatic potential in a region bounded by the lines x= 0, y = 0, x = 1.5, y = 1.5, is governed by the Laplace Equation = 0. ax? dy The potential is 0 on the lines x = 0, y = 0, and 10 units on the lines x 1.5, y = 1.5. %3D Setting a step size of h = 0.5, write out a matrix equation for the values of Pij = ¢(ih, jh) at the interior mesh points.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

c) The electrostatic potential in a region bounded by the lines x = 0, y = 0, x = 1.5, y = 1.5, is
governed by the Laplace Equation
dx?
= 0.
dy?
The potential is 0 on the lines x = 0, y = 0, and 10 units on the lines x = 1.5, y = 1.5.
Setting a step size of h = 0.5, write out a matrix equation for the values of Pij = $(ih, jh) at
the interior mesh points.

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