writing a report on some practical applications that can be represented by mathematical models and solved by numerical methods.

Write a report about some practical applications that can be represented by mathematical models and solved by numerical methods. The report should have at least three different practical problems and 12 pages). Each problem should be solved by Matlab or Excel, and the relevant code/sheet should be included in the report’s appendices. The report should be coherent with a single introduction followed by the presentation of each
problem (explain the problems, the mathematical models for the problem, the numerical solution and discuss the results). Finally
present a single conclusion for the report. Make use of the numerical methods studied in this course. Examples of problems related to linear equations are the analysis of static
structures, circuits, pipe flow, multi-degree of freedom dynamic systems. You can consider some design problems where you look at
multiple inputs and do the analysis using LU decomposition. Examples related to solving of differential equations are the solution of
heat transfer problems, diffusion, impact dynamic systems, or other initial value problems. Examples for regression and interpolation
are on handling lab data or any other data from literature or books. Examples related to solution of non-linear equations are the use of
Newton-Raphson or other techniques to solve the characteristic system of a dynamic system to determine instability or mode shapes and
natural frequencies (i.e. free vibration of a dynamic system). I want some practical questions related to Computer engineering.