Question

b. Show that \frac{\partial^4 u}{\partial x^4} = \frac{u_{i-2,j} - 4u_{i-1,j} + 6u_{i,j} - 4u_{i+1,j} + u_{i+2,j}}{ (\Delta x)^4} + (\Delta x)^2

          b. Show that \frac{\partial^4 u}{\partial x^4} = \frac{u_{i-2,j} - 4u_{i-1,j} + 6u_{i,j} - 4u_{i+1,j} + u_{i+2,j}}{ (\Delta x)^4} + (\Delta x)^2

b. Show that (∂^4 u)/(∂x^4) = (ui-2,j - 4ui-1,j + 6ui,j - 4ui+1,j + ui+2,j)/( (Δx)^4) + (Δx)^2

Added by Frank K.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Sri K

03/16/2023

Step 1

-4ui + 2,j + Ui + 2.i + (x) Ax = -4ui + 2j + Ui + 2i + xAx Show more…

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b. Show that -4ui+2,j+Ui+2.i+(x) Ax 0411 Ox

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