Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation

Fateme Torabi () and Reza Pourgholi ()
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Fateme Torabi: Damghan University
Reza Pourgholi: Damghan University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 2, 649-662

Abstract: Abstract In this work, the nonlinear inverse modified Kawara equation is studied. The sextic B-spline method is used for numerical treatment for this equation. We also discuss the stability and convergence analysis for these equations. The accuracy and effectiveness of the method is presented in a numerical example.

Keywords: Sextic B-spline collocation method; Inverse problems; Convergence analysis; Stability analysis; Noisy data; 65M32; 35K05 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00283-0

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