Title of article :
Solving a nonlinear inverse system of Burgers equations
Author/Authors :
Zeidabadi, Hamed Faculty of Engineering - Sabzevar University of New Technology, Sabzevar, Iran , Pourgholi, Reza School of Mathematics and Computer Sciences - Damghan University, Damghan, Iran , Tabasi, S. Hashem School of Mathematics and Computer Sciences - Damghan University, Damghan, Iran
Abstract :
By applying finite difference formula to time discretization and the cubic B-splines for spatial variable, a
numerical method for solving the inverse system of Burgers equations is presented. Also, the convergence
analysis and stability for this problem are investigated and the order of convergence is obtained. By using
two test problems, the accuracy of presented method is verified. Additionally, obtained numerical results
of the cubic B-spline method are compared to trigonometric cubic B-spline method, exponential cubic B-
spline method and radial basis function method. Implementation simplicity and less computational cost are
the main advantages of proposed scheme compared to previous proposals.
Keywords :
Noisy data , Ill-posed problems , Tikhonov regularization method , Stability analysis , Syste Convergence analysis , Inverse problems , Collocation method , Cubic B-spline , system of Burgers equations
