Narimani, Niusha; Dehghan, Mehdi A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment. (English) Zbl 1497.92060 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106616, 25 p. (2022). MSC: 92C32 35Q92 65D12 PDFBibTeX XMLCite \textit{N. Narimani} and \textit{M. Dehghan}, Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106616, 25 p. (2022; Zbl 1497.92060) Full Text: DOI
Suzuki, Jorge L.; Zayernouri, Mohsen A self-singularity-capturing scheme for fractional differential equations. (English) Zbl 1480.65171 Int. J. Comput. Math. 98, No. 5, 933-960 (2021). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{J. L. Suzuki} and \textit{M. Zayernouri}, Int. J. Comput. Math. 98, No. 5, 933--960 (2021; Zbl 1480.65171) Full Text: DOI arXiv
Singha, Neelam Implementation of fractional optimal control problems in real-world applications. (English) Zbl 1488.92003 Fract. Calc. Appl. Anal. 23, No. 6, 1783-1796 (2020). MSC: 92-10 65L99 33E12 34A08 49K15 49N90 92C50 PDFBibTeX XMLCite \textit{N. Singha}, Fract. Calc. Appl. Anal. 23, No. 6, 1783--1796 (2020; Zbl 1488.92003) Full Text: DOI
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen Implicit-explicit time integration of nonlinear fractional differential equations. (English) Zbl 1442.65125 Appl. Numer. Math. 156, 555-583 (2020). MSC: 65L05 65L04 34A08 65R20 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Appl. Numer. Math. 156, 555--583 (2020; Zbl 1442.65125) Full Text: DOI arXiv
Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M. A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis. (English) Zbl 1451.65161 J. Comput. Phys. 385, 244-261 (2019). MSC: 65M70 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{M. Samiee} et al., J. Comput. Phys. 385, 244--261 (2019; Zbl 1451.65161) Full Text: DOI arXiv
Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M. A unified spectral method for FPDEs with two-sided derivatives. I: A fast solver. (English) Zbl 1451.65160 J. Comput. Phys. 385, 225-243 (2019). MSC: 65M70 65M60 35R11 65M22 PDFBibTeX XMLCite \textit{M. Samiee} et al., J. Comput. Phys. 385, 225--243 (2019; Zbl 1451.65160) Full Text: DOI arXiv
Kharazmi, Ehsan; Zayernouri, Mohsen Fractional sensitivity equation method: application to fractional model construction. (English) Zbl 1448.35550 J. Sci. Comput. 80, No. 1, 110-140 (2019). MSC: 35R11 65M70 65M60 26A33 PDFBibTeX XMLCite \textit{E. Kharazmi} and \textit{M. Zayernouri}, J. Sci. Comput. 80, No. 1, 110--140 (2019; Zbl 1448.35550) Full Text: DOI arXiv
Toh, Yoke Teng; Phang, Chang; Loh, Jian Rong New predictor-corrector scheme for solving nonlinear differential equations with Caputo-Fabrizio operator. (English) Zbl 1412.65053 Math. Methods Appl. Sci. 42, No. 1, 175-185 (2019). Reviewer: Neville Ford (Chester) MSC: 65L06 34A08 PDFBibTeX XMLCite \textit{Y. T. Toh} et al., Math. Methods Appl. Sci. 42, No. 1, 175--185 (2019; Zbl 1412.65053) Full Text: DOI
Kharazmi, Ehsan; Zayernouri, Mohsen Fractional pseudo-spectral methods for distributed-order fractional PDEs. (English) Zbl 1513.65251 Int. J. Comput. Math. 95, No. 6-7, 1340-1361 (2018). MSC: 65L60 34A08 58C40 PDFBibTeX XMLCite \textit{E. Kharazmi} and \textit{M. Zayernouri}, Int. J. Comput. Math. 95, No. 6--7, 1340--1361 (2018; Zbl 1513.65251) Full Text: DOI
Biala, T. A.; Khaliq, A. Q. M. Parallel algorithms for nonlinear time-space fractional parabolic PDEs. (English) Zbl 1416.65303 J. Comput. Phys. 375, 135-154 (2018). MSC: 65M12 35R11 65M15 65Y05 PDFBibTeX XMLCite \textit{T. A. Biala} and \textit{A. Q. M. Khaliq}, J. Comput. Phys. 375, 135--154 (2018; Zbl 1416.65303) Full Text: DOI
Zeng, Fanhai; Turner, Ian; Burrage, Kevin A stable fast time-stepping method for fractional integral and derivative operators. (English) Zbl 1406.65047 J. Sci. Comput. 77, No. 1, 283-307 (2018). MSC: 65L05 34A08 65D32 PDFBibTeX XMLCite \textit{F. Zeng} et al., J. Sci. Comput. 77, No. 1, 283--307 (2018; Zbl 1406.65047) Full Text: DOI arXiv
Yan, Yubin; Khan, Monzorul; Ford, Neville J. An analysis of the modified \(L1\) scheme for time-fractional partial differential equations with nonsmooth data. (English) Zbl 1381.65070 SIAM J. Numer. Anal. 56, No. 1, 210-227 (2018). MSC: 65M06 65M12 65M15 35R11 35R05 35K20 PDFBibTeX XMLCite \textit{Y. Yan} et al., SIAM J. Numer. Anal. 56, No. 1, 210--227 (2018; Zbl 1381.65070) Full Text: DOI
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em A Petrov-Galerkin spectral element method for fractional elliptic problems. (English) Zbl 1439.65205 Comput. Methods Appl. Mech. Eng. 324, 512-536 (2017). MSC: 65N35 65N30 35R11 PDFBibTeX XMLCite \textit{E. Kharazmi} et al., Comput. Methods Appl. Mech. Eng. 324, 512--536 (2017; Zbl 1439.65205) Full Text: DOI arXiv
Angstmann, C. N.; Henry, B. I.; Jacobs, B. A.; Mcgann, A. V. Discretization of fractional differential equations by a piecewise constant approximation. (English) Zbl 1416.65245 Math. Model. Nat. Phenom. 12, No. 6, 23-36 (2017). MSC: 65L99 26A33 PDFBibTeX XMLCite \textit{C. N. Angstmann} et al., Math. Model. Nat. Phenom. 12, No. 6, 23--36 (2017; Zbl 1416.65245) Full Text: DOI arXiv Link
Ford, Neville J.; Yan, Yubin An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data. (English) Zbl 1377.65102 Fract. Calc. Appl. Anal. 20, No. 5, 1076-1105 (2017). MSC: 65M06 65M15 35R11 65M60 35R05 35G25 PDFBibTeX XMLCite \textit{N. J. Ford} and \textit{Y. Yan}, Fract. Calc. Appl. Anal. 20, No. 5, 1076--1105 (2017; Zbl 1377.65102) Full Text: DOI
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em Petrov-Galerkin and spectral collocation methods for distributed order differential equations. (English) Zbl 1367.65113 SIAM J. Sci. Comput. 39, No. 3, A1003-A1037 (2017). MSC: 65L15 34L16 34A08 65L60 PDFBibTeX XMLCite \textit{E. Kharazmi} et al., SIAM J. Sci. Comput. 39, No. 3, A1003--A1037 (2017; Zbl 1367.65113) Full Text: DOI arXiv
Zayernouri, Mohsen; Matzavinos, Anastasios Fractional Adams-Bashforth/Moulton methods: an application to the fractional Keller-Segel chemotaxis system. (English) Zbl 1349.65234 J. Comput. Phys. 317, 1-14 (2016). MSC: 65L06 34A08 92C17 PDFBibTeX XMLCite \textit{M. Zayernouri} and \textit{A. Matzavinos}, J. Comput. Phys. 317, 1--14 (2016; Zbl 1349.65234) Full Text: DOI
Malinzi, Joseph; Sibanda, Precious; Mambili-Mamboundou, Hermane Analysis of virotherapy in solid tumor invasion. (English) Zbl 1328.35252 Math. Biosci. 263, 102-110 (2015). Reviewer: Jonathan Zinsl (München) MSC: 35Q92 92C50 34D20 35C07 92C17 65M06 35K57 PDFBibTeX XMLCite \textit{J. Malinzi} et al., Math. Biosci. 263, 102--110 (2015; Zbl 1328.35252) Full Text: DOI
Ben-Ari, Iddo; Neumann, Michael Probabilistic approach to Perron root, the group inverse, and applications. (English) Zbl 1239.15008 Linear Multilinear Algebra 60, No. 1, 39-63 (2012). Reviewer: Tin Yau Tam (Auburn) MSC: 15A18 15A09 15B48 60G44 60J22 65C40 PDFBibTeX XMLCite \textit{I. Ben-Ari} and \textit{M. Neumann}, Linear Multilinear Algebra 60, No. 1, 39--63 (2012; Zbl 1239.15008) Full Text: DOI
Hu, Jifeng; Othmer, Hans G. A theoretical analysis of filament length fluctuations in actin and other polymers. (English) Zbl 1234.92013 J. Math. Biol. 63, No. 6, 1001-1049 (2011). MSC: 92C37 92C40 60K99 37N25 65C20 PDFBibTeX XMLCite \textit{J. Hu} and \textit{H. G. Othmer}, J. Math. Biol. 63, No. 6, 1001--1049 (2011; Zbl 1234.92013) Full Text: DOI Link
Mahmood, Mohammed Shuker; Mahmood, Silvia; Dobrota, Dušan Formulation and numerical simulations of a continuum model of avascular tumor growth. (English) Zbl 1214.92043 Math. Biosci. 231, No. 2, 159-171 (2011). MSC: 92C50 65N30 35R37 92C37 35Q92 65C20 PDFBibTeX XMLCite \textit{M. S. Mahmood} et al., Math. Biosci. 231, No. 2, 159--171 (2011; Zbl 1214.92043) Full Text: DOI