Central differencing: For Central difference the stencil has 5 nodes, they are i-2,i-1,i,i+1,i+2. For Central difference, we r having the formula to calculate the nodes.                no. of nodes = p+q-1 = 2+4-1 = 5. Here p = order of derivative         …

Simple pendulum: A simple pendulum consists of a mass m hanging from a string of length l and fixed at a pivot point P. When displaced to an initial angle and released, the pendulum will swing back and forth with the periodic motion. And it depends upon Newton's second law of motion. Given equation  d2θ/dt2 +…

The 2Dheat conduction equation is of 2 types: (i) steady-state (ii) unsteady-state The steady-state equation can be solved with the implicit method while coming to the unsteady state equation there is a time term, so it can be solved either explicit or implicit method.   For steady-state eq `((del^2T)/(delx^2)+(del^2T)/(dely^2))…

The governing equations of a mathematical model describe how the values of the unknown variables (i.e. the dependent variables) change when one or more of the known (i.e. independent) variables change. It is divided into 2 types. They are i  Conservative form ii  Non-Conservative form In the Conservative…