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Journal of Computational and Engineering Mathematics, 2024, Volume 11, Issue 3, Pages 16–27
DOI: https://doi.org/10.14529/jcem240302 (Mi jcem262) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Computational Mathematics

Numerical solution of one-dimensional dispersion equation in homogeneous porous medium by modified finite element method

T. Sharmaa, G. Trivedib, V. Shahb, Sh. Pathaka

a The Charutar Vidya Mandal University, Vallabh Vidhyanagar, India
b The Maharaja Sayajirao University of Baroda, Vadodara, India
Full-text PDF (192 kB) Citations (2)
DOI: https://doi.org/10.14529/jcem240302
Abstract: This article discusses the mathematical modeling of the longitudinal dispersion phenomenon in a homogeneous porous medium and its solution using the modified finite element method. Also, the theorem about existence and uniqueness, and stability of nonlinear system that arose in the numerical scheme, by utilizing nonlinear functional analysis and the Banach fixed point theorem are proved. Finally, illustrations are added to show the efficacy of the derived method.
Keywords: Burger's equation, porous medium, finite element scheme.
Received: 04.07.2024
Document Type: Article
UDC: 517.958
MSC: 35G61
Language: English
Citation: T. Sharma, G. Trivedi, V. Shah, Sh. Pathak, “Numerical solution of one-dimensional dispersion equation in homogeneous porous medium by modified finite element method”, J. Comp. Eng. Math., 11:3 (2024), 16–27
Citation in format AMSBIB
\Bibitem{ShaTriSha24}
\by T.~Sharma, G.~Trivedi, V.~Shah, Sh.~Pathak
\paper Numerical solution of one-dimensional dispersion equation in homogeneous porous medium by modified finite element method
\jour J. Comp. Eng. Math.
\yr 2024
\vol 11
\issue 3
\pages 16--27
\mathnet{http://mi.mathnet.ru/jcem262}
\crossref{https://doi.org/10.14529/jcem240302}
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