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.
Zeidabadi,H , Pourgholi,R and Tabasi,S H . (2019). Solving a nonlinear inverse system of Burgers equations. International Journal of Nonlinear Analysis and Applications, 10(1), 35-54. doi: 10.22075/ijnaa.2019.11008.1537
MLA
Zeidabadi,H , , Pourgholi,R , and Tabasi,S H . "Solving a nonlinear inverse system of Burgers equations", International Journal of Nonlinear Analysis and Applications, 10, 1, 2019, 35-54. doi: 10.22075/ijnaa.2019.11008.1537
HARVARD
Zeidabadi H, Pourgholi R, Tabasi S H. (2019). 'Solving a nonlinear inverse system of Burgers equations', International Journal of Nonlinear Analysis and Applications, 10(1), pp. 35-54. doi: 10.22075/ijnaa.2019.11008.1537
CHICAGO
H Zeidabadi, R Pourgholi and S H Tabasi, "Solving a nonlinear inverse system of Burgers equations," International Journal of Nonlinear Analysis and Applications, 10 1 (2019): 35-54, doi: 10.22075/ijnaa.2019.11008.1537
VANCOUVER
Zeidabadi H, Pourgholi R, Tabasi S H. Solving a nonlinear inverse system of Burgers equations. IJNAA. 2019;10(1):35-54. doi: 10.22075/ijnaa.2019.11008.1537
International Journal of Nonlinear Analysis and Applications