Numerical approximation for inverse problem of the Ostrovsky–Burgers equation

Abstract

This article considers a nonlinear inverse problem of the Ostrovsky–Burgers equation by using noisy data. Two B-Splines with different levels, the quintic B-spline and septic B-spline, are used to study this problem. For both B-splines, the stability and convergence analysis are calculated, and results show that an excellent estimation of the unknown functions of thenonlinear inverse problem.

Keywords

• ostrovsky equation
• quintic b-spline collocation
• septic bspline collocation
• convergence analysis
• stability analysis
• noisy data