A MATLAB function for automatically solving linear difference equations using the Z-transform method.
This submission provides a custom MATLAB function called rsolve, designed to automatically solve linear difference equations with constant coefficients using the Z-transform method. It is particularly useful for modeling and analyzing discrete-time systems in fields such as digital signal processing, control systems, economics, and other related areas.
The function takes as input a symbolic difference equation along with initial conditions and returns the closed-form analytical solution in the discrete domain. Internally, it applies the Z-transform to convert the recurrence into an algebraic equation, solves it symbolically, and then computes the inverse Z-transform to recover the solution. This workflow leverages MATLAB's built-in symbolic math capabilities (ztrans, iztrans, and the Symbolic Math Toolbox), offering both accuracy and flexibility.
https://matlab.mathworks.com/open/fileexchange/v1?id=181285
