The analysis of the solution of the <scp>Burgers–Huxley</scp> equation using the Galerkin method

Many scientific methods have been proposed to solve the Burgers–Huxley equation. Among these famous methods, little or nothing has mentioned in literature about coupling of nonstandard finite difference method time and Galerkin together with compactness space variables. We exploit this gap present a reliable technique aimed use show that solution problem under investigation is uniqued appropriate spaces be defined. proceed numerical obtained from designed scheme stabled converges L 2 $$ {L}^2 as well H1-norms. Furthermore, we examples some experiments justify validity our theoretical results.