Numerical approximation for inverse problem of the Ostrovsky–Burgers equation

Document Type : Research Article

Authors

• F. Ghanadian
• R. Pourgholi
• S.H. Tabasi

School of Mathematics and Computer Science, Damghan University, Damghan 36715-364, Iran.

10.22067/ijnao.2021.70478.1036

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 the nonlinear inverse problem.
 

Keywords

• Ostrovsky equation
• Quintic B-spline collocation
• Septic Bspline collocation
• Convergence analysis
• Stability analysis
• Noisy data

20.1001.1.24236977.2022.12.1.4.8

Main Subjects

• Numerical methods for differential equations and its applications

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