Solving Public Housing Fund Problems Using Difference Equations

In this MATLAB laboratory course, we will explore how to solve public housing fund problems using difference equations. We will conduct an in-depth study of mathematical modeling for housing funds, computational methods, and implementation processes. Throughout the learning process, we will explain the concepts and applications of difference equations and demonstrate how to solve them using MATLAB software. By the end of the course, you will be able to write your own programs to solve housing fund problems and understand how to interpret difference equation solutions. The implementation will involve creating recursive algorithms that model fund accumulation over time using discrete time steps.

Additionally, we will provide deeper background information about public housing fund issues, including their importance for individuals and society as a whole. We will also cover the history and development of housing fund schemes, as well as different national systems for public housing funds. This contextual knowledge will help you better understand housing fund problems and apply your learning to real-world situations. The MATLAB implementation will include functions to calculate cumulative contributions, interest accrual, and withdrawal scenarios.

Finally, we will provide complete MATLAB source code to demonstrate how to implement difference equation solutions for housing fund problems. This will help you better understand the programming implementation process and provide a starting point for writing your own programs to solve other related problems. The code will include key functions for difference equation formulation, iterative calculations, and result visualization using MATLAB's plotting capabilities.