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A Modified Algorithm Based on Haar Wavelets for the Numerical Simulation of Interface Models

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dc.contributor.author Rana, Gule
dc.contributor.author Asif, Muhammad
dc.contributor.author Haider, Nadeem
dc.contributor.author Bilal, Rubi
dc.contributor.author Ahsan, Muhammad
dc.contributor.author Al-Mdallal, Qasem
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-02-09T11:42:26Z
dc.date.available 2024-02-09T11:42:26Z
dc.date.issued 2022
dc.identifier.citation Rana, Gule;...et.al. "A Modified Algorithm Based on Haar Wavelets for the Numerical Simulation of Interface Models", Journal of Function Spaces, Vol.2022. tr_TR
dc.identifier.issn 23148896
dc.identifier.uri http://hdl.handle.net/20.500.12416/7161
dc.description.abstract In this paper, a new numerical technique is proposed for the simulations of advection-diffusion-reaction type elliptic and parabolic interface models. The proposed technique comprises of the Haar wavelet collocation method and the finite difference method. In this technique, the spatial derivative is approximated by truncated Haar wavelet series, while for temporal derivative, the finite difference formula is used. The diffusion coefficients, advection coefficients, and reaction coefficients are considered discontinuously across the fixed interface. The newly established numerical technique is applied to both linear and nonlinear benchmark interface models. In the case of linear interface models, Gauss elimination method is used, whereas for nonlinear interface models, the nonlinearity is removed by using the quasi-Newton linearization technique. The L∞ errors are calculated for different number of collocation points. The obtained numerical results are compared with the immersed interface method. The stability and convergence of the method are also discussed. On the whole, the numerical results show more efficiency, better accuracy, and simpler applicability of the newly developed numerical technique compared to the existing methods in literature. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1155/2022/1541486 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.title A Modified Algorithm Based on Haar Wavelets for the Numerical Simulation of Interface Models tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Function Spaces tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 2022 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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