A novel algorithm for time-fractional foam drainage equation

Abstract In this work, we present a novel numerical algorithm for solving the nonlinear time-fractional foam drainage equation at early stages of the time. The analytical solution of the nonlinear time-fractional foam drainage equation is represented by a linear combination of fractional Bernstein basis polynomials over a time interval [ 0 , T ] . Detailed numerical algorithm with several theoretical results are discussed. Several examples are discussed to test the efficiency and accuracy of the present scheme.