-Multiscale Galerkin’s Scheme with Multilevel Augmentation Algorithm for Solving Time Fractional Burgers’ Equation

Algorithm 1

(MAM for time fractional Burgers equation).

Let be two fixed positive integers and .

Step 1: obtain the approximation of initial value function

where

Step 2: for (), do the following:

 (I): Solve from (33) with Set

 (II): Compute that is

where with

 (III): solve from the following equation

that is

 (IV): Let Set and go back to (III) until