A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem

A simple algorithm is applied in this paper to solve the conformable time fractional reaction-diffusion-convection problem (CTFRDCP) with varriable coefficients. The aim of applying this algorithm is to overcome the inability of the differential transform method to solve such problems. The differential transform method is implemented twice. Once with initial condition, again with boundary conditions. A convex combination of two solutions is considered as solution of the problem.