numerical solution of time-dependent foam drainage equation (fde)

reduced differental transform method (rdtm), which isone of the useful and effective numerical method, is applied to solve nonlinear time-dependent foam drainage equation (fde) with different initial conditions. we compare our method with the famous adomian decomposition and laplace decomposition methods. the obtained resultsdemonstrated that rdtm is a powerful tool for solving nonlinear partialdifferential equations (pdes), it can be applied very easily and it has lesscomputational work than other existing methods like adomian decomposition and laplace decomposition. additionally, effectiveness and precisionof rdtm solutions are shown in tables and graphically.