Numerical evaluation with the fractional Newton explicit group technique for the fractional partial differential equations

The current paper presents an accurate technique to solve numerical the time Caputo fractional Burger’s equations (FBEs), and fractional Fisher’s equations (FFEs) by using the fractional Newton explicit group method (FNEGM). In this technique the fractional derivative operator is approximated by the implicit finite difference scheme. A numerical simulation of the problem under study is presented through comparisons with different values of the order of the imefractional derivatives, to evaluate the accuracy and efficiency of the proposed method in solving the problem. The method has been applied to the numerical treatment of several large systems of equations to demonstrate the consistency of its performance in solving such systems. From the proposed numerical results, we can confirm the effectiveness of this technique in solving such real phenomena. MSC 2010: 41A10; 65N12; 65N35.