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Use Matlab (or any other programming language/environment — NO Excel) to implement: matlab Assignment, NU, UK
University | Northumbria University (NU) |
Subject | Matlab |
1) Use Matlab (or any other programming language/environment — NO Excel) to implement your version of the Basic Euler, the Runge-Kutta 4*” order (RK4) and Adams-Bashforth 4″ order methods.
2) Use your implemented routines to approximate the states x,(t), x,(t) and x,(t) in the interval 0 <= t <= 500, with initial conditions:
x,(0)=-7m, x,(0)=7m, x,(0)=-3m, dx,/dt(0) = -3 m/s, dx,/dt(0)=-2 m/s, dx;/dt(0)= -1 m/s
when
– the masses are: m, = (the last digit of your registration number divided by 3) + 1 [kg];
– m, = the last digit of your registration number* [kg];
– m3 = (the last digit of your registration number divided by 2) + 2 [kg];
– the external force F(t) is given by the function my Force: F=myForce(t);
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3) Solve/integrate by using the Basic Euler, the RK4, and the Adams-Bashforth 4″ order (initialised via RK4) methods with At=1, and
– plot Figure 1a: x,(t) obtained by RK4; plot Figure 1b: x,(t) obtained by AB4; plot Figure 1c: x,(t) obtained by BE;
– plot Figure 2a: x,(t) obtained by RK4; plot Figure 2b: x,(t) obtained by AB4; plot Figure 2c: x,(t) obtained by BE;
– plot Figure 3a: x,(t) obtained by RK4; plot Figure 3b: x,(t) obtained by AB4; plot Figure 3c: x,(t) obtained by BE
4) Solve/integrate by using the Basic Euler, the RK4, and the Adams-Bashforth 4th order (initialised via RK4) methods with At=0.5, and
– plot Figure 4a: x,(t) obtained by RK4; plot Figure 4b: x,(t) obtained by AB4; plot Figure 4c: x,(t) obtained by BE;
– plot Figure 5a: x,(t) obtained by RK4; plot Figure 5b: x,(t) obtained by AB4; plot Figure 5c: x,(t) obtained by BE;
– plot Figure 6a: x,(t) obtained by RK4; plot Figure 6b: x,(t) obtained by AB4; plot Figure 6c: x,(t) obtained by BE;
5) Solve/integrate by using the Basic Euler, the RK4, and the Adams-Bashforth 4th order (initialised via RK4) methods with At=0.1, and
– plot Figure 7a: x,(t) obtained by RK4; plot Figure 7b: x,(t) obtained by AB4; plot Figure 7c: x,(t) obtained by BE;
– plot Figure 8a: x,(t) obtained by RK4; plot Figure 8b: x,(t) obtained by AB4; plot Figure 8c: x,(t) obtained by BE;
– plot Figure 9a: x,(t) obtained by RK4; plot Figure 9b: x,(t) obtained by AB4; plot Figure 9c: x,(t) obtained by BE
6) Derive the static equations of the system and use both a direct and an iterative numerical method among those that we have studied in this module to find the position of the masses when F=myforce(500), and compare the results with what obtained at the points 3), 4) and 5).
Are You Looking for Answer of This Assignment or Essay
For UK students seeking academic support, our team offers exceptional online assignment help and the academic writing help services uk. Tailored for Northumbria University (NU) and specifically focused on Matlab Assignments, our experts excel in utilizing Matlab or any preferred programming language/environment (excluding Excel) to implement complex tasks. Students can rely on our expertise to navigate their coursework effectively, ensuring excellence at NU.
