Solán-Fustero, P.; Gracia, J. L.; Navas-Montilla, A.; García-Navarro, P. Development of POD-based reduced order models applied to shallow water equations using augmented Riemann solvers. (English) Zbl 07737598 Comput. Methods Appl. Mech. Eng. 410, Article ID 116038, 27 p. (2023). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{P. Solán-Fustero} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 116038, 27 p. (2023; Zbl 07737598) Full Text: DOI
Yue, Zihan; Jiang, Wei; Liu, Zhuoyue; Zhang, Biao A meshless method for solving two-dimensional distributed-order time-fractional cable equation. (English) Zbl 1517.65076 Appl. Math. Lett. 140, Article ID 108565, 8 p. (2023). MSC: 65M06 65K10 65N15 35A01 35A02 35R09 92C20 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Yue} et al., Appl. Math. Lett. 140, Article ID 108565, 8 p. (2023; Zbl 1517.65076) Full Text: DOI
Zarin, Rahat; Siraj-ul-Islam; Haider, Nadeem; Naeem-ul-Islam Numerical solution of COVID-19 pandemic model via finite difference and meshless techniques. (English) Zbl 1521.92010 Eng. Anal. Bound. Elem. 147, 76-89 (2023). MSC: 92-08 92D30 65M06 PDFBibTeX XMLCite \textit{R. Zarin} et al., Eng. Anal. Bound. Elem. 147, 76--89 (2023; Zbl 1521.92010) Full Text: DOI
Song, Minghui; Wang, Jinfeng; Liu, Yang; Li, Hong Local discontinuous Galerkin method combined with the \(L2\) formula for the time fractional cable model. (English) Zbl 1503.65247 J. Appl. Math. Comput. 68, No. 6, 4457-4478 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 92C20 92-08 35Q92 26A33 35R11 PDFBibTeX XMLCite \textit{M. Song} et al., J. Appl. Math. Comput. 68, No. 6, 4457--4478 (2022; Zbl 1503.65247) Full Text: DOI
Yang, Xiaozhong; Liu, Xinlong Numerical analysis of fourth-order compact difference scheme for inhomogeneous time-fractional Burgers-Huxley equation. (English) Zbl 1524.65429 Comput. Math. Appl. 125, 1-12 (2022). MSC: 65M06 35R11 65M12 26A33 35Q53 65N06 35B65 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Yang} and \textit{X. Liu}, Comput. Math. Appl. 125, 1--12 (2022; Zbl 1524.65429) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi A POD-RBF-FD scheme for simulating chemotaxis models on surfaces. (English) Zbl 1521.92008 Eng. Anal. Bound. Elem. 143, 316-330 (2022). MSC: 92-08 65M06 35Q35 35Q92 65D12 92C17 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 143, 316--330 (2022; Zbl 1521.92008) Full Text: DOI
Cheng, Yuhong; Zhang, Hai; Zhang, Weiwei; Zhang, Hongmei Novel algebraic criteria on global Mittag-Leffler synchronization for FOINNs with the Caputo derivative and delay. (English) Zbl 1514.34127 J. Appl. Math. Comput. 68, No. 5, 3527-3544 (2022); correction ibid. 68, No. 5, 3587 (2022). Reviewer: Jiu-Gang Dong (Dalian) MSC: 34K24 34K37 34K35 92B20 93B52 PDFBibTeX XMLCite \textit{Y. Cheng} et al., J. Appl. Math. Comput. 68, No. 5, 3527--3544 (2022; Zbl 1514.34127) Full Text: DOI
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat Nonintrusive model order reduction for cross-diffusion systems. (English) Zbl 1501.65089 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N06 65D12 65F20 15A69 35A01 35K51 35K58 65L10 65L12 65L20 65L70 92D25 92C40 35Q92 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022; Zbl 1501.65089) Full Text: DOI arXiv
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
García, A.; Negreanu, M.; Ureña, F.; Vargas, A. M. Convergence and numerical solution of nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in 2D and 3D via generalized finite difference method. (English) Zbl 1513.65284 Int. J. Comput. Math. 99, No. 8, 1517-1537 (2022). MSC: 65M06 65N06 65M12 41A58 92C17 PDFBibTeX XMLCite \textit{A. García} et al., Int. J. Comput. Math. 99, No. 8, 1517--1537 (2022; Zbl 1513.65284) Full Text: DOI
Erturk, Vedat Suat; Alomari, A. K.; Kumar, Pushpendra; Murillo-Arcila, Marina Analytic solution for the strongly nonlinear multi-order fractional version of a BVP occurring in chemical reactor theory. (English) Zbl 1490.34006 Discrete Dyn. Nat. Soc. 2022, Article ID 8655340, 9 p. (2022). MSC: 34A08 35R11 92E20 PDFBibTeX XMLCite \textit{V. S. Erturk} et al., Discrete Dyn. Nat. Soc. 2022, Article ID 8655340, 9 p. (2022; Zbl 1490.34006) Full Text: DOI
Bavi, O.; Hosseininia, M.; Heydari, M. H.; Bavi, N. SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: a meshless algorithm for the fractional diffusion equation. (English) Zbl 1521.92082 Eng. Anal. Bound. Elem. 138, 108-117 (2022). MSC: 92D30 35Q92 65M70 PDFBibTeX XMLCite \textit{O. Bavi} et al., Eng. Anal. Bound. Elem. 138, 108--117 (2022; Zbl 1521.92082) Full Text: DOI
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.; Rashidinia, J. Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics. (English) Zbl 07511421 J. Comput. Phys. 428, Article ID 109983, 21 p. (2021). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{O. Nikan} et al., J. Comput. Phys. 428, Article ID 109983, 21 p. (2021; Zbl 07511421) Full Text: DOI
Friguis, Maiquison S.; Knupp, Diego C.; Abreu, Luiz A. S.; Stutz, Leonardo T.; Neto, Antônio J. Silva Inverse population dynamics problem employing a low cost integral transform solution and Bayesian inference with approximation error model. (English) Zbl 1486.92156 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 189, 25 p. (2021). MSC: 92D25 91D20 44A05 65R10 PDFBibTeX XMLCite \textit{M. S. Friguis} et al., Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 189, 25 p. (2021; Zbl 1486.92156) Full Text: DOI
Shivanian, Elyas; Jafarabadi, Ahmad Numerical investigation based on a local meshless radial point interpolation for solving coupled nonlinear reaction-diffusion system. (English) Zbl 1499.65579 Comput. Methods Differ. Equ. 9, No. 2, 358-374 (2021). MSC: 65M70 65M06 65N35 65D12 65D07 92E20 92C15 35Q92 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, Comput. Methods Differ. Equ. 9, No. 2, 358--374 (2021; Zbl 1499.65579) Full Text: DOI
Lefraich, Hamid; Fahim, Houda; Zirhem, Mariam; Alaa, Nour Eddine A computational model for texture analysis in images with a reaction-diffusion based filter. (English) Zbl 1513.94008 J. Math. Model. 9, No. 3, 485-500 (2021). MSC: 94A08 92C55 68U10 65L05 PDFBibTeX XMLCite \textit{H. Lefraich} et al., J. Math. Model. 9, No. 3, 485--500 (2021; Zbl 1513.94008) Full Text: DOI
Hemami, Mohammad; Rad, Jamal Amani; Parand, Kourosh Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach. (English) Zbl 1473.65106 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105961, 36 p. (2021). MSC: 65M06 35Q92 65D12 92-08 92B25 PDFBibTeX XMLCite \textit{M. Hemami} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105961, 36 p. (2021; Zbl 1473.65106) Full Text: DOI
Zheng, Hui; Wu, M. X.; Shi, Yan; Deng, Cheng; Zhang, C. Z. 3D elastic dental analysis by a local RBF collocation method. (English) Zbl 1481.92016 Appl. Math. Modelling 99, 41-56 (2021). MSC: 92C10 74A10 PDFBibTeX XMLCite \textit{H. Zheng} et al., Appl. Math. Modelling 99, 41--56 (2021; Zbl 1481.92016) Full Text: DOI
Xu, Tao; Liu, Fawang; Lü, Shujuan; Anh, Vo V. Numerical approximation of 2D multi-term time and space fractional Bloch-Torrey equations involving the fractional Laplacian. (English) Zbl 1468.65117 J. Comput. Appl. Math. 393, Article ID 113519, 16 p. (2021). MSC: 65M06 65M60 26A33 35Q60 92C55 35Q92 35R11 PDFBibTeX XMLCite \textit{T. Xu} et al., J. Comput. Appl. Math. 393, Article ID 113519, 16 p. (2021; Zbl 1468.65117) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi; De Marchi, Stefano Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. (English) Zbl 1457.92042 J. Comput. Appl. Math. 388, Article ID 113314, 24 p. (2021). MSC: 92C32 35Q92 PDFBibTeX XMLCite \textit{V. Mohammadi} et al., J. Comput. Appl. Math. 388, Article ID 113314, 24 p. (2021; Zbl 1457.92042) Full Text: DOI
Dai, Dandan; Lv, Ximing; Wang, Yulan Numerical simulation for a class of predator-prey system with homogeneous Neumann boundary condition based on a sinc function interpolation method. (English) Zbl 1486.92153 Bound. Value Probl. 2020, Paper No. 105, 11 p. (2020). MSC: 92D25 65M60 35K57 35Q92 35K51 PDFBibTeX XMLCite \textit{D. Dai} et al., Bound. Value Probl. 2020, Paper No. 105, 11 p. (2020; Zbl 1486.92153) Full Text: DOI
Xu, Tao; Liu, Fawang; Lü, Shujuan; Anh, Vo V. Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains. (English) Zbl 1524.65424 Comput. Math. Appl. 80, No. 12, 3173-3192 (2020). MSC: 65M06 65M60 35R11 65M12 26A33 92C55 92C37 65N30 78A60 35Q92 35Q60 PDFBibTeX XMLCite \textit{T. Xu} et al., Comput. Math. Appl. 80, No. 12, 3173--3192 (2020; Zbl 1524.65424) Full Text: DOI
Moayeri, M. M.; Rad, J. A.; Parand, K. Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: a numerical simulation study. (English) Zbl 1453.92078 Comput. Math. Appl. 80, No. 8, 1887-1927 (2020). MSC: 92C32 92B20 92B25 PDFBibTeX XMLCite \textit{M. M. Moayeri} et al., Comput. Math. Appl. 80, No. 8, 1887--1927 (2020; Zbl 1453.92078) Full Text: DOI
Dáger, R.; Navarro, V.; Negreanu, M.; Vargas, A. M. Uniform asymptotic behavior of numerical solutions for a predator-prey system with diffusion and chemotaxis. (English) Zbl 1464.65082 Eng. Anal. Bound. Elem. 120, 82-94 (2020). MSC: 65M06 65M12 92D25 PDFBibTeX XMLCite \textit{R. Dáger} et al., Eng. Anal. Bound. Elem. 120, 82--94 (2020; Zbl 1464.65082) Full Text: DOI
Benzakour Amine, M. Linearized implicit methods based on a single-layer neural network: application to Keller-Segel models. (English) Zbl 1522.65160 J. Sci. Comput. 85, No. 1, Paper No. 4, 27 p. (2020). MSC: 65M08 92C17 68T05 PDFBibTeX XMLCite \textit{M. Benzakour Amine}, J. Sci. Comput. 85, No. 1, Paper No. 4, 27 p. (2020; Zbl 1522.65160) Full Text: DOI arXiv
Ilati, Mohammad Analysis and application of the interpolating element-free Galerkin method for extended Fisher-Kolmogorov equation which arises in brain tumor dynamics modeling. (English) Zbl 1465.65095 Numer. Algorithms 85, No. 2, 485-502 (2020). MSC: 65M60 65M06 65N30 65M15 65K10 41A30 92C37 35Q92 PDFBibTeX XMLCite \textit{M. Ilati}, Numer. Algorithms 85, No. 2, 485--502 (2020; Zbl 1465.65095) Full Text: DOI
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. (English) Zbl 1447.65072 Comput. Math. Appl. 80, No. 5, 923-939 (2020). MSC: 65M60 65M06 65M12 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Gao} et al., Comput. Math. Appl. 80, No. 5, 923--939 (2020; Zbl 1447.65072) Full Text: DOI
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions. (English) Zbl 1445.65036 J. Sci. Comput. 84, No. 1, Paper No. 2, 22 p. (2020). MSC: 65M60 65N30 65M06 35R11 26A33 92C20 92C37 35Q92 PDFBibTeX XMLCite \textit{B. Yin} et al., J. Sci. Comput. 84, No. 1, Paper No. 2, 22 p. (2020; Zbl 1445.65036) Full Text: DOI arXiv
Jaiswal, Devanand; Kalita, Jiten C. Novel high-order compact approach for dynamics of spiral waves in excitable media. (English) Zbl 1464.76124 Appl. Math. Modelling 77, Part 1, 341-359 (2020). MSC: 76M20 76V05 76R50 65M12 92C10 PDFBibTeX XMLCite \textit{D. Jaiswal} and \textit{J. C. Kalita}, Appl. Math. Modelling 77, Part 1, 341--359 (2020; Zbl 1464.76124) Full Text: DOI
Du, Mingjing; Ning, Pengfei; Wang, Yulan Numerical solution of a class of predator-prey systems with complex dynamics characters based on a sinc function interpolation collocation method. (English) Zbl 1435.65174 Complexity 2020, Article ID 5404851, 34 p. (2020). MSC: 65M70 92D25 PDFBibTeX XMLCite \textit{M. Du} et al., Complexity 2020, Article ID 5404851, 34 p. (2020; Zbl 1435.65174) Full Text: DOI
Bao, Xiongxiong; Li, Wan-Tong Propagation phenomena for partially degenerate nonlocal dispersal models in time and space periodic habitats. (English) Zbl 1430.92122 Nonlinear Anal., Real World Appl. 51, Article ID 102975, 26 p. (2020). MSC: 92D40 92D30 35Q92 35C07 35B10 PDFBibTeX XMLCite \textit{X. Bao} and \textit{W.-T. Li}, Nonlinear Anal., Real World Appl. 51, Article ID 102975, 26 p. (2020; Zbl 1430.92122) Full Text: DOI
Hemami, Mohammad; Parand, Kourosh; Rad, Jamal Amani Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures. (English) Zbl 1443.92048 Comput. Math. Appl. 78, No. 11, 3644-3677 (2019). MSC: 92B20 92C20 65M70 PDFBibTeX XMLCite \textit{M. Hemami} et al., Comput. Math. Appl. 78, No. 11, 3644--3677 (2019; Zbl 1443.92048) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method. (English) Zbl 1440.74428 Comput. Methods Appl. Mech. Eng. 345, 919-950 (2019). MSC: 74S05 92-10 92C42 37L65 65M22 65M50 65M60 74L15 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 345, 919--950 (2019; Zbl 1440.74428) Full Text: DOI
Aslefallah, Mohammad; Abbasbandy, Saeid; Shivanian, Elyas Fractional cable problem in the frame of meshless singular boundary method. (English) Zbl 1464.74385 Eng. Anal. Bound. Elem. 108, 124-132 (2019). MSC: 74S99 65M80 35R11 74K05 92C20 PDFBibTeX XMLCite \textit{M. Aslefallah} et al., Eng. Anal. Bound. Elem. 108, 124--132 (2019; Zbl 1464.74385) Full Text: DOI
Yadav, Om Prakash; Jiwari, Ram A finite element approach to capture Turing patterns of autocatalytic Brusselator model. (English) Zbl 1414.92241 J. Math. Chem. 57, No. 3, 769-789 (2019). MSC: 92E20 65L60 PDFBibTeX XMLCite \textit{O. P. Yadav} and \textit{R. Jiwari}, J. Math. Chem. 57, No. 3, 769--789 (2019; Zbl 1414.92241) Full Text: DOI
Peyroteo, M. M. A.; Belinha, Jorge; Vinga, Susana; Dinis, L. M. J. S.; Natal Jorge, R. M. Mechanical bone remodelling: comparative study of distinct numerical approaches. (English) Zbl 1464.92031 Eng. Anal. Bound. Elem. 100, 125-139 (2019). MSC: 92C10 65N30 65N35 PDFBibTeX XMLCite \textit{M. M. A. Peyroteo} et al., Eng. Anal. Bound. Elem. 100, 125--139 (2019; Zbl 1464.92031) Full Text: DOI
Saadatmandi, Abbas; Khani, Ali; Azizi, Mohammad-Reza A sinc-Gauss-Jacobi collocation method for solving Volterra’s population growth model with fractional order. (English) Zbl 1434.65208 Tbil. Math. J. 11, No. 2, 123-137 (2018). MSC: 65M70 26A33 92D40 35R09 35R11 65D32 45K05 92D25 PDFBibTeX XMLCite \textit{A. Saadatmandi} et al., Tbil. Math. J. 11, No. 2, 123--137 (2018; Zbl 1434.65208) Full Text: DOI Euclid
Dehghan, Mehdi; Narimani, Niusha An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue. (English) Zbl 1480.92103 Appl. Math. Modelling 59, 500-513 (2018). MSC: 92C50 92C42 65M60 35Q92 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{N. Narimani}, Appl. Math. Modelling 59, 500--513 (2018; Zbl 1480.92103) Full Text: DOI
Dehghan, Mehdi; Narimani, Niusha Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation. (English) Zbl 1413.65381 Comput. Appl. Math. 37, No. 5, 6955-6971 (2018). MSC: 65M70 65L06 35Q92 92C15 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{N. Narimani}, Comput. Appl. Math. 37, No. 5, 6955--6971 (2018; Zbl 1413.65381) Full Text: DOI
Shivanian, Elyas; Jafarabadi, Ahmad An improved meshless algorithm for a kind of fractional cable problem with error estimate. (English) Zbl 1448.65119 Chaos Solitons Fractals 110, 138-151 (2018). MSC: 65M06 65M70 65M12 65M15 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, Chaos Solitons Fractals 110, 138--151 (2018; Zbl 1448.65119) Full Text: DOI
Kalita, Jiten C. A dual-purpose high order compact approach for pattern formation using gray-Scott model. (English) Zbl 1397.76094 Int. J. Appl. Comput. Math. 3, No. 3, 2747-2760 (2017). MSC: 76M20 65N06 65Z05 76D05 97M60 35K57 92C15 92C35 PDFBibTeX XMLCite \textit{J. C. Kalita}, Int. J. Appl. Comput. Math. 3, No. 3, 2747--2760 (2017; Zbl 1397.76094) Full Text: DOI
Esmaili, Sakine; Eslahchi, M. R. Application of collocation method for solving a parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application. (English) Zbl 1360.92130 Math. Methods Appl. Sci. 40, No. 5, 1711-1733 (2017). MSC: 92D50 65M70 65M12 35K20 35L03 PDFBibTeX XMLCite \textit{S. Esmaili} and \textit{M. R. Eslahchi}, Math. Methods Appl. Sci. 40, No. 5, 1711--1733 (2017; Zbl 1360.92130) Full Text: DOI
Liu, Zhenhai; Tatar, Salih; Ulusoy, Süleyman; Zeki, Mustafa Structural stability for the Morris-Lecar neuron model. (English) Zbl 1410.35005 Appl. Math. Comput. 270, 261-268 (2015). MSC: 35A01 35Q92 92C20 35B30 35D35 35M33 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Math. Comput. 270, 261--268 (2015; Zbl 1410.35005) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. (English) Zbl 1403.65084 Eng. Anal. Bound. Elem. 56, 129-144 (2015). MSC: 65M70 65M06 92C17 35Q92 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 56, 129--144 (2015; Zbl 1403.65084) Full Text: DOI