The steady state heat conduction over a thin plate is governed by the partial differential equation: a'T a'T = 0 + a) Show the imaginary nodes over the plate necessary to solve this problem by the finite difference method for the 3x3 grid shown in the figure. b) Apply finite difference discretization and obtain the linear algebraic equation system to solve the temperature distribution (obtain the equations, present them in matrix form but do not solve them). T=10 °C T =0 for the insulated di Hint: -k 1m T=10 °C• Insulated edges where i is the direction normal to the edge. Insulated 1m-

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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.