DOAJ Open Access 2024

Finite element method for fractional order parabolic obstacle problem with nonlinear source term

Allaoua Mehri Hakima Bouhadjera Mohammed S. Abdo Hadeel Z. Alzumi Wafa Shammakh

Abstrak

This paper considers the finite element method for a fractional order parabolic obstacle problem in time with a nonlinear source term. An error estimation of the spatially semi-discrete problem is discussed. A fully discrete problem is proposed by introducing the finite difference approximation for the time variable. The L2-unconditional stability and convergence of the approximate solution have been proven.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (5)

Allaoua Mehri

Hakima Bouhadjera

Mohammed S. Abdo

Hadeel Z. Alzumi

Wafa Shammakh

Format Sitasi

APA MLA BibTeX

Mehri, A., Bouhadjera, H., Abdo, M.S., Alzumi, H.Z., Shammakh, W. (2024). Finite element method for fractional order parabolic obstacle problem with nonlinear source term. https://doi.org/10.1016/j.padiff.2024.100721

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2024.100721
Akses: Open Access ✓