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(Solved): 7. The continuity equation for 1D one-phase flow is shown in equation (1) x22p=t ...



7. The continuity equation for 1D one-phase flow is shown in equation (1)
\[
\frac{\partial^{2} p}{\partial x^{2}}=\frac{\par

7. The continuity equation for 1D one-phase flow is shown in equation (1) According to the finite element method, discretize the equation at point using the explicit and implicit scheme, respectively. (20 marks)


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To discretize the continuity equation using the finite element method at point i, we need to consider both the explicit and implicit schemes. Let's go through each scheme separately.
Explicit Scheme :-
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