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Based on a two-dimensional partial differential equation for heat conduction without heat generation in steady state, establish the corresponding finite difference equation for the calculation of node temperatures in 2-D plate for the node indexes with i for x-axis and j for y-axis. Then, further simplify the equation just established by assuming Ax = Ay. All symbols have their usual meanings. (12 marks)
given
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Based on a two-dimensional partial differential equation for heat conduction without heat generation in steady state, establish the corresponding finite difference equation for the calculation of node temperatures in 2-D plate for the node indexes with i for x-axis and j for y-axis. Then, further simplify the equation just established by assuming Ax = Ay. All symbols have their usual meanings. (12 marks)
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