Q6- For following partial differential equation, answer only a or b: a- Write down the explicit finite difference approximations. Knowing that at 0, dh/dt- 2 and h= -4x in all points between the left and right boundaries. h values at the left and right boundary are equal to 0 in all times. b- Transform into polar coordinates system. Sh/ ot= & h/ ox+ &h/ oy

Q6- For following partial differential equation, answer only a or b: a- Write down the explicit finite difference approximations. Knowing that at 0, dh/dt- 2 and h= -4x in all points between the left and right boundaries. h values at the left and right boundary are equal to 0 in all times. b- Transform into polar coordinates system. Sh/ ot= & h/ ox+ &h/ oy

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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Q6- For following partial differential equation, answer only a or b:
a- Write down the explicit finite difference approximations. Knowing that at 0, dh/dt- 2
and h= -4x in all points between the left and right boundaries. h values at the left and
right boundary are equal to 0 in all times.
b- Transform into polar coordinates system.
Sh/ dt= & h/ ox+ &h/ oy

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