I need some suggestions about the electrical engineering practical problems that can be represented by mathematical models and solved by numerical methods. so, I can run it on MATLAB.
MATLAB provides various in-built toolboxes to make mathematical models in electrical and electronics domain. Some of these toolboxes are Control system toolbox (Simulink), Communication toolbox etc uses extensive mathematical model designing. Various others sub-domains such as power elecronic, signals processing and telecommunications problems can be designed, external sensors can be used and matlab blocks can be used to process it via numerical analysis. Other than these, one can create own model by using MATLAB defined user function . This comes handy when one want to design your own transistors with user defined specifications. However you need to proper knowledge so as to numerically solve these models since they require lots of efforts and MATLAB provides these inbuilt models to reduce programming workload.
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