Evolutionary Approach for Symbolic Solution of a Variational Calculus Problem
Tatiana Karaseva, Eugene Stanislavovich Semenkin, Margarita V. Karaseva · 2025
This paper presents an evolutionary approach to solving variational calculus problems based on genetic programming and differential evolution methods. The approach allows finding symbolic solutions that satisfy the Euler equation and boundary conditions even in cases where analytical methods are inapplicable. The proposed approach has been tested on a number of problems such as a classical problem of minimum potential energy of an elastic beam.