SegFault13

Maths coursework 2020 Report link to edit : https://www.overleaf.com/8139195934djkkczvvdqff

Group members

1. Hussain Kurabadwala
2. Adrian Koch
3. Jo Merrick
4. Marcus Neo
5. Maelle Guerre
6. Omar Sharif

Task summary

1 - RC Circuit (First order ODE)

Exercise 1

There are two files RK2.m and RK2_script.m. The first contains the ODE solver function wheras the latter calls this function with a range of different inputs. TransferfunctionPlot.m was used to plot the RC circuit's transfer function for the report

Exercise 2

The error analysis for exercise 1 can be found in error_script.m

2 - RLC Circuit (Second order ODE)

Exercise 3

There are two files RK4.m and RLC_script.m, the first containing the solver for two coupled first order ODEs, the latter containg a script that callins this function with varying test inputs.

3 - Relaxation and SOR

Exercise 4

Both the relaxation function and the test inputs are contained in relaxation.m.

Exercise 5

Both the SOR function and the testing for varying relaxation parameters is contained in SOR.m The computation_time.m file was used to plot the computation time for varying grid sizes. It relies on an older version of the SOR function and, hence, is included for completeness only.