Ackleh, Azmy S.; Lyons, Rainey; Saintier, Nicolas Finite difference schemes for a size structured coagulation-fragmentation model in the space of Radon measures. (English) Zbl 07800837 IMA J. Numer. Anal. 43, No. 6, 3357-3395 (2023). MSC: 65M06 65N06 65M12 65M15 35R09 28C05 92D25 92-08 35Q92 35R06 PDFBibTeX XMLCite \textit{A. S. Ackleh} et al., IMA J. Numer. Anal. 43, No. 6, 3357--3395 (2023; Zbl 07800837) Full Text: DOI
Contreras H., Luis F.; Galvis, Juan Finite difference and finite element methods for partial differential equations on fractals. (English) Zbl 07803720 Rev. Integr. 40, No. 2, 169-190 (2022). MSC: 65N30 65N06 28A80 35J20 35J15 PDFBibTeX XMLCite \textit{L. F. Contreras H.} and \textit{J. Galvis}, Rev. Integr. 40, No. 2, 169--190 (2022; Zbl 07803720) Full Text: DOI arXiv
Tsvetkov, V. P.; Mikheev, S. A.; Tsvetkov, I. V.; Derbov, V. L.; Gusev, A. A.; Vinitsky, S. I. Modeling the multifractal dynamics of COVID-19 pandemic. (English) Zbl 1504.92162 Chaos Solitons Fractals 161, Article ID 112301, 9 p. (2022). MSC: 92D30 34K37 28A80 PDFBibTeX XMLCite \textit{V. P. Tsvetkov} et al., Chaos Solitons Fractals 161, Article ID 112301, 9 p. (2022; Zbl 1504.92162) Full Text: DOI
Murtaza, Saqib; Kumam, Poom; Ahmad, Zubair; Seangwattana, Thidaporn; Ali, Ibn E. Numerical analysis of newly developed fractal-fractional model of Casson fluid with exponential memory. (English) Zbl 1497.65131 Fractals 30, No. 5, Article ID 2240151, 10 p. (2022). MSC: 65M06 65N06 76A05 76R10 76W05 80A19 26A33 35R11 28A80 35Q35 PDFBibTeX XMLCite \textit{S. Murtaza} et al., Fractals 30, No. 5, Article ID 2240151, 10 p. (2022; Zbl 1497.65131) Full Text: DOI
Zhu, Qingyong; Lu, Shun; Lai, Dongheng; Sun, Junjun Fluid-structure coupling simulation of explosive flow field in heterogeneous porous media based on fractal theory. (English) Zbl 1491.74023 Fractals 30, No. 3, Article ID 2250048, 17 p. (2022). MSC: 74F10 74E05 74S05 76M20 76S05 28A80 PDFBibTeX XMLCite \textit{Q. Zhu} et al., Fractals 30, No. 3, Article ID 2250048, 17 p. (2022; Zbl 1491.74023) Full Text: DOI
de la Hoz, Francisco; Kumar, Sandeep; Vega, Luis Vortex filament equation for a regular polygon in the hyperbolic plane. (English) Zbl 1483.35206 J. Nonlinear Sci. 32, No. 1, Paper No. 9, 34 p. (2022). MSC: 35Q55 28A80 65M06 65M20 65N06 65L06 PDFBibTeX XMLCite \textit{F. de la Hoz} et al., J. Nonlinear Sci. 32, No. 1, Paper No. 9, 34 p. (2022; Zbl 1483.35206) Full Text: DOI arXiv
Wang, He; Deng, Zilong; Yao, Feng; Zhang, Chengbin Condensation phase change behaviors on a rough surface characterized by fractal Cantor. (English) Zbl 1482.35179 Fractals 29, No. 7, Article ID 2150219, 15 p. (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q79 35K57 76D45 76M28 76M20 74F10 35K05 65M06 65L06 28A80 PDFBibTeX XMLCite \textit{H. Wang} et al., Fractals 29, No. 7, Article ID 2150219, 15 p. (2021; Zbl 1482.35179) Full Text: DOI
Siddique, Imran; Akgül, Ali; Kahsay, Hafte Amsalu; Tsegay, Teklay Hailay; Wubneh, Kahsay Godifey Applications of magnetohydrodynamic couple stress fluid flow between two parallel plates with three different kernels. (English) Zbl 1501.76092 J. Funct. Spaces 2021, Article ID 7082262, 11 p. (2021). MSC: 76W05 76A99 76M20 26A33 28A80 PDFBibTeX XMLCite \textit{I. Siddique} et al., J. Funct. Spaces 2021, Article ID 7082262, 11 p. (2021; Zbl 1501.76092) Full Text: DOI
Ackleh, Azmy S.; Lyons, Rainey; Saintier, Nicolas Finite difference schemes for a structured population model in the space of measures. (English) Zbl 1470.92230 Math. Biosci. Eng. 17, No. 1, 747-775 (2020). MSC: 92D25 65M06 28C05 PDFBibTeX XMLCite \textit{A. S. Ackleh} et al., Math. Biosci. Eng. 17, No. 1, 747--775 (2020; Zbl 1470.92230) Full Text: DOI
Riane, Nizare; David, Claire The finite difference method for the heat equation on Sierpiński simplices. (English) Zbl 1499.65427 Int. J. Comput. Math. 96, No. 7, 1477-1501 (2019). MSC: 65M06 28A80 37F20 65M12 PDFBibTeX XMLCite \textit{N. Riane} and \textit{C. David}, Int. J. Comput. Math. 96, No. 7, 1477--1501 (2019; Zbl 1499.65427) Full Text: DOI arXiv
Herrera-Hernández, E. C.; Aguilar-Madera, C. G.; Hernández, D.; Luis, D. P.; Camacho-Velázquez, R. G. Semi-numerical solution to a fractal telegraphic dual-porosity fluid flow model. (English) Zbl 1404.65091 Comput. Appl. Math. 37, No. 4, 4342-4356 (2018). MSC: 65M06 65N06 44A10 76S05 28A80 44A20 65F05 PDFBibTeX XMLCite \textit{E. C. Herrera-Hernández} et al., Comput. Appl. Math. 37, No. 4, 4342--4356 (2018; Zbl 1404.65091) Full Text: DOI arXiv
Scotti, Anna; Sottocasa, Federica Analysis of a mimetic finite difference approximation of flows in fractured porous media. (English) Zbl 1404.65228 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 595-630 (2018). MSC: 65N12 65N99 76S05 28A80 65N06 05C82 PDFBibTeX XMLCite \textit{A. Scotti} and \textit{F. Sottocasa}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 595--630 (2018; Zbl 1404.65228) Full Text: DOI
Joumaa, Hady; Ostoja-Starzewski, Martin On the dilatational wave motion in anisotropic fractal solids. (English) Zbl 1520.74038 Math. Comput. Simul. 127, 114-130 (2016). MSC: 74J05 74E10 74S05 74S20 28A80 PDFBibTeX XMLCite \textit{H. Joumaa} and \textit{M. Ostoja-Starzewski}, Math. Comput. Simul. 127, 114--130 (2016; Zbl 1520.74038) Full Text: DOI
Boukas, Andreas; Feinsilver, Philip Bartle integration in Lie algebras. (English) Zbl 1404.28021 Aust. J. Math. Anal. Appl. 13, No. 1, Article No. 3, 15 p. (2016). MSC: 28B10 17B81 46G10 60H05 81S25 PDFBibTeX XMLCite \textit{A. Boukas} and \textit{P. Feinsilver}, Aust. J. Math. Anal. Appl. 13, No. 1, Article No. 3, 15 p. (2016; Zbl 1404.28021) Full Text: Link
Mosco, Umberto Analysis and numerics of some fractal boundary value problems. (English) Zbl 1271.65133 Brezzi, Franco (ed.) et al., Analysis and numerics of partial differential equations. Selected papers based on a meeting in memory of Enrico Magenes, 2011. Milano: Springer (ISBN 978-88-470-2591-2/hbk; 978-88-470-2592-9/ebook). Springer INdAM Series 4, 237-255 (2013). MSC: 65N06 35J05 28A80 65N30 PDFBibTeX XMLCite \textit{U. Mosco}, Springer INdAM Ser. 4, 237--255 (2013; Zbl 1271.65133) Full Text: DOI
Bogolyubov, A. N.; Petukhov, A. A.; Shapkina, N. E. Mathematical modeling of waveguides with fractal insets. (English. Russian original) Zbl 1253.78031 Mosc. Univ. Phys. Bull. 66, No. 2, 122-125 (2011); translation from Vest. Mosk. Univ., Ser. III 2011, No. 2, 20-23 (2011). MSC: 78A50 35J05 78M20 65N30 28A80 PDFBibTeX XMLCite \textit{A. N. Bogolyubov} et al., Mosc. Univ. Phys. Bull. 66, No. 2, 122--125 (2011; Zbl 1253.78031); translation from Vest. Mosk. Univ., Ser. III 2011, No. 2, 20--23 (2011) Full Text: DOI
Bouchut, François; Frid, Hermano Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. (English) Zbl 1099.65066 J. Hyperbolic Differ. Equ. 3, No. 1, 27-52 (2006). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 35K55 35K65 35Q30 76D05 28D20 PDFBibTeX XMLCite \textit{F. Bouchut} and \textit{H. Frid}, J. Hyperbolic Differ. Equ. 3, No. 1, 27--52 (2006; Zbl 1099.65066) Full Text: DOI
Hasegawa, Susumu; Nishihara, Katsunobu; Sakagami, Hitoshi Numerical simulation of mixing by Rayleigh-Taylor instability and its fractal structures. (English) Zbl 0880.76033 Fractals 4, No. 3, 241-250 (1996). MSC: 76F10 76E17 76E99 76M20 28A80 PDFBibTeX XMLCite \textit{S. Hasegawa} et al., Fractals 4, No. 3, 241--250 (1996; Zbl 0880.76033) Full Text: DOI
Maserick, P. H. Applications of differentiation of \(L_ p-\)functions on semilattices. (English) Zbl 0449.28009 Pac. J. Math. 104, 417-427 (1983). MSC: 28A50 46E30 28A15 PDFBibTeX XMLCite \textit{P. H. Maserick}, Pac. J. Math. 104, 417--427 (1983; Zbl 0449.28009) Full Text: DOI