Solving Inverse System of Time-Fractional Burgers Equation

Majid  Erfanian; Hamed  Zeidabadi; Hessam  Hosseinnezhad

doi:10.24996/ijs.2024.65.5.25

Authors

Majid Erfanian Department of Science , School of Mathematical Sciences , University of Zabol , Zabol , Iran https://orcid.org/0000-0001-8449-9272
Hamed Zeidabadi Department of Applied Mathematics , Faculty of Mathematics and Computer Sciences , Hakim Sabzevari University,Sabzevar , Iran https://orcid.org/0000-0001-5361-0396
Hessam Hosseinnezhad Department of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology, Tehran 15916-34311, Iran https://orcid.org/0000-0002-1062-4250

DOI:

https://doi.org/10.24996/ijs.2024.65.5.25

Keywords:

System of time fractional Burgers equations, Inverse problems, Noisy data, Finite difference method, Cubic B-splines collocation method, Time-fractional derivatives, Convergence analysis

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 .