We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
NUMERICAL SOLUTION OF THE INVERSE GARDNER EQUATION.
- Authors
FOADIAN, S.; POURGHOLI, R.; BALADEZAEI, M. G.
- Abstract
In this paper, the numerical solution of the inverse Gardner equation will be considered. The Haar wavelet collocation method (HWCM) will be used to determine the unknown boundary condition which is estimated from an over-specified condition at a boundary. In this regard, we apply the HWCM for discretizing the space derivatives and then use a quasilinearization technique to linearize the nonlinear term in the equations. It is proved that the proposed method has the order of convergence Ϭ(Δx). The efficiency and robustness of the proposed approach for solving the inverse Gardner equation are demonstrated by one numerical example.
- Subjects
QUASILINEARIZATION; COLLOCATION methods; NONLINEAR equations; EQUATIONS; INVERSE problems; TIKHONOV regularization
- Publication
TWMS Journal of Applied & Engineering Mathematics, 2023, Vol 13, Issue 2, p649
- ISSN
2146-1147
- Publication type
Article