Numerical solution of Burger's equation based on cubic B-splines quasi-interpolants and matrix arguments

Omar Chakrone; Okacha Diyer; Driss Sbibih

doi:10.5269/bspm.v33i2.21544

Omar Chakrone Université Mohammed I
Okacha Diyer Université Mohammed I
Driss Sbibih Université Mohammed I https://orcid.org/0000-0002-0528-5012

DOI: https://doi.org/10.5269/bspm.v33i2.21544

Résumé

In this paper, we give an efficient method for solvingBurger's equation. The numerical scheme equation is based on cubicB-spline quasi-interpolants and some techniques of matrix arguments. We find an iterative expression which is easy to implement and we give also the erroriterative scheme. Then we compare the obtained approximate solutionwith that given by the methods introduced in \cite{C1} and\cite{D1}.

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Bibliographies de l'auteur

Omar Chakrone, Université Mohammed I

Faculté des Sciences

Laboratoire LANOL

Okacha Diyer, Université Mohammed I

Ecole Supérieure de Technologie

Laboratoire MATSI

Driss Sbibih, Université Mohammed I

Ecole Supérieure de Technologie

Laboratoire MATSI

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