Systems and methods for improving battery performance

A computer-implemented method for modeling the amount of current discharged by a battery is provided. The method is implemented by a computing device communicatively coupled with a memory, and includes generating, by the computing device, a model of at least one battery cell comprising a positive electrode region, a negative electrode region, and a separator region. The method also includes transforming the positive electrode region, the negative electrode region, and the separator region of the battery into a single region in the model. In addition, the method includes generating, by the computing device, a plurality of trial functions associated with the single region, and determining, by the computing device, the amount of current discharged from the battery cell based on the trial functions.