Solving Inverse System of Time-Fractional Burgers Equation

Abstract

Applying the finite difference method for the time discretization . We present a numerical method to approximate the inverse system of Burgers equations (ISBE) with the time-fractional . By using the finite difference formula and extended cubic B-splines collocation method (EXCBSM) , we determine the approximated solution of this inverse system problem . The convergence analysis is investigated and the order of convergence is obtained . The advantage of this study is comparing it with the other method such as the cubic B-spline collocation method . Also , to clarify the presented method , figures and comparisons of the approximate solutions with the exact value have been presented . Finally , the diagrams of errors for our methods are shown in the figures .