Numerical approximation for inverse problem of the Ostrovsky–Burgers equation

Iranian Journal of Numerical Analysis and Optimization

مقاله 16، دوره 12، شماره 1 - شماره پیاپی 21، خرداد 2022، صفحه 73-109   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2021.70478.1036

نویسندگان

F. Ghanadian؛ R. Pourgholi؛ S.H. Tabasi^*

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

چکیده

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.
 

کلیدواژه‌ها

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

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