Please solve question 5 (a) QUESTION 5(a)(i) Write down the finite difference equation corresponding to the three-dimensional partial differential equatioind²u du d²u+ + +u+xyz = 0дх2 т дугdz²at the grid point (xi, yj, zk) of a rectangular mesh with Ax=Ay=Az = h. Denote u(xi, yj, Zk) by Ui,j,k.(ii) Re-write the difference equation in (i) into an iteration formula appropriate for Liebmann's method. Use thesuperscripts uk, uk+1 to show how new values are computed from previous ones.(b) The equation№²ud²u+dx² dy²=0is to be solved in a rectangular region. The grid (with Ax= Ay = 1), the boundary values and the numbering of thenode points are indicated in the sketch below.

Answered: Image /qna-images/answer/156d1ebf-5d1a-4f27-bfeb-b16ae369c719.jpg

Answered: (a) (i) Write down the finite…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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