Novel analytical approach to modified fractal gas dynamics model with the variable coefficients

Abstract In this study, the modified fractal gas dynamics model (GDM) with variable coefficients is successfully represented using derivative. We obtain variational principle of GDM by employing semi‐inverse method. Based on established principle, a new and fascinating algorithm presented to solve model, which called two‐scale method (FTSVM). Finally, two numerical examples are given indicate efficiency accuracy proposed algorithm. The FTSVM sheds light differential equations.