Han, Yanxiang; Lu, Zeyu A two-scale methodology on modelling surface topography by homogenization technique. (English) Zbl 1525.74201 Appl. Math. Modelling 120, 115-131 (2023). MSC: 74S20 PDFBibTeX XMLCite \textit{Y. Han} and \textit{Z. Lu}, Appl. Math. Modelling 120, 115--131 (2023; Zbl 1525.74201) Full Text: DOI
Van den Broeck, Jul; Vanderstraeten, Emile; Decleer, Pieter; Vande Ginste, Dries Conservative second-order accurate finite-difference scheme for the coupled Maxwell-Dirac equations. (English) Zbl 1525.65081 Appl. Math. Modelling 120, 25-39 (2023). MSC: 65M06 81Q80 PDFBibTeX XMLCite \textit{J. Van den Broeck} et al., Appl. Math. Modelling 120, 25--39 (2023; Zbl 1525.65081) Full Text: DOI
Karličić, Danilo; Cajić, Milan; Paunović, Stepa; Obradović, Aleksandar; Adhikari, Sondipon; Christensen, Johan Non-reciprocal wave propagation in time-modulated elastic lattices with inerters. (English) Zbl 1510.74062 Appl. Math. Modelling 117, 316-335 (2023). MSC: 74J05 65M06 PDFBibTeX XMLCite \textit{D. Karličić} et al., Appl. Math. Modelling 117, 316--335 (2023; Zbl 1510.74062) Full Text: DOI
Wen, Zhuoxin; Hou, Chi; Zhao, Meiying; Wan, Xiaopeng A peridynamic model for non-Fourier heat transfer in orthotropic plate with uninsulated cracks. (English) Zbl 1510.74007 Appl. Math. Modelling 115, 706-723 (2023). MSC: 74A70 65M06 80A19 PDFBibTeX XMLCite \textit{Z. Wen} et al., Appl. Math. Modelling 115, 706--723 (2023; Zbl 1510.74007) Full Text: DOI
Ramos, A. J. A.; Kovács, R.; Freitas, M. M.; Almeida Júnior, D. S. Mathematical analysis and numerical simulation of the Guyer-Krumhansl heat equation. (English) Zbl 1510.80022 Appl. Math. Modelling 115, 191-202 (2023). MSC: 80M20 65M06 80A19 PDFBibTeX XMLCite \textit{A. J. A. Ramos} et al., Appl. Math. Modelling 115, 191--202 (2023; Zbl 1510.80022) Full Text: DOI arXiv
Kraus, Heinrich; Kuhnert, Jörg; Meister, Andreas; Suchde, Pratik A meshfree point collocation method for elliptic interface problems. (English) Zbl 1505.65299 Appl. Math. Modelling 113, 241-261 (2023). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{H. Kraus} et al., Appl. Math. Modelling 113, 241--261 (2023; Zbl 1505.65299) Full Text: DOI arXiv
Zhao, Rong; Li, Chunguang; Zhou, Lei; Zheng, Hong A sequential linear complementarity problem for multisurface plasticity. (English) Zbl 1525.74035 Appl. Math. Modelling 103, 557-579 (2022). MSC: 74C05 74S20 PDFBibTeX XMLCite \textit{R. Zhao} et al., Appl. Math. Modelling 103, 557--579 (2022; Zbl 1525.74035) Full Text: DOI
Bürger, Raimund; Careaga, Julio; Diehl, Stefan; Pineda, Romel A moving-boundary model of reactive settling in wastewater treatment. II: numerical scheme. (English) Zbl 1505.35252 Appl. Math. Modelling 111, 247-269 (2022). MSC: 35K65 35Q35 65M06 76V05 PDFBibTeX XMLCite \textit{R. Bürger} et al., Appl. Math. Modelling 111, 247--269 (2022; Zbl 1505.35252) Full Text: DOI
Bürger, Raimund; Careaga, Julio; Diehl, Stefan; Pineda, Romel A moving-boundary model of reactive settling in wastewater treatment. I: governing equations. (English) Zbl 1503.35097 Appl. Math. Modelling 106, 390-401 (2022). MSC: 35K65 35Q35 65M06 76V05 PDFBibTeX XMLCite \textit{R. Bürger} et al., Appl. Math. Modelling 106, 390--401 (2022; Zbl 1503.35097) Full Text: DOI
Maurya, Rahul Kumar; Devi, Vinita; Singh, Vineet Kumar Stability and convergence of multistep schemes for 1D and 2D fractional model with nonlinear source term. (English) Zbl 1481.65149 Appl. Math. Modelling 89, Part 2, 1721-1746 (2021). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{R. K. Maurya} et al., Appl. Math. Modelling 89, Part 2, 1721--1746 (2021; Zbl 1481.65149) Full Text: DOI
Sweilam, N. H.; AL-Mekhlafi, S. M.; Albalawi, A. O.; Tenreiro Machado, J. A. Optimal control of variable-order fractional model for delay cancer treatments. (English) Zbl 1481.92071 Appl. Math. Modelling 89, Part 2, 1557-1574 (2021). MSC: 92C50 34A08 49N90 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Appl. Math. Modelling 89, Part 2, 1557--1574 (2021; Zbl 1481.92071) Full Text: DOI
Salete, E.; Vargas, A. M.; García, A.; Benito, J. J.; Ureña, F.; Ureña, M. An effective numeric method for different formulations of the elastic wave propagation problem in isotropic medium. (English) Zbl 1481.74530 Appl. Math. Modelling 96, 480-496 (2021). MSC: 74L05 65N06 PDFBibTeX XMLCite \textit{E. Salete} et al., Appl. Math. Modelling 96, 480--496 (2021; Zbl 1481.74530) Full Text: DOI
Córcoles, Juan; Yao, Aiping; Kuster, Niels Experimental and numerical optimization modelling to reduce radiofrequency-induced risks of magnetic resonance examinations on leaded implants. (English) Zbl 1481.92075 Appl. Math. Modelling 96, 177-188 (2021). MSC: 92C55 78M50 90C90 PDFBibTeX XMLCite \textit{J. Córcoles} et al., Appl. Math. Modelling 96, 177--188 (2021; Zbl 1481.92075) Full Text: DOI
Kang, Sangmo; Hwang, Jeeseong Tuning the characteristics of photoacoustic pressure in a laser-induced photoacoustic generator: a numerical study. (English) Zbl 1481.78028 Appl. Math. Modelling 94, 98-116 (2021). MSC: 78M20 78A60 PDFBibTeX XMLCite \textit{S. Kang} and \textit{J. Hwang}, Appl. Math. Modelling 94, 98--116 (2021; Zbl 1481.78028) Full Text: DOI
Yang, Junxiang; Kim, Junseok An improved scalar auxiliary variable (SAV) approach for the phase-field surfactant model. (English) Zbl 1481.76088 Appl. Math. Modelling 90, 11-29 (2021). MSC: 76D45 65M06 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Appl. Math. Modelling 90, 11--29 (2021; Zbl 1481.76088) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. (English) Zbl 1481.65150 Appl. Math. Modelling 100, 107-124 (2021). MSC: 65M06 35R11 65M12 80A19 PDFBibTeX XMLCite \textit{O. Nikan} et al., Appl. Math. Modelling 100, 107--124 (2021; Zbl 1481.65150) Full Text: DOI
Kuttler, Ch.; Maslovskaya, A. Hybrid stochastic fractional-based approach to modeling bacterial quorum sensing. (English) Zbl 1481.92084 Appl. Math. Modelling 93, 360-375 (2021). MSC: 92C70 35Q92 65M06 PDFBibTeX XMLCite \textit{Ch. Kuttler} and \textit{A. Maslovskaya}, Appl. Math. Modelling 93, 360--375 (2021; Zbl 1481.92084) Full Text: DOI
Hu, Jianbing Comments on: “New approximations for solving the Caputo-type fractional partial differential equations”. (English) Zbl 1481.65132 Appl. Math. Modelling 99, 804-805 (2021). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{J. Hu}, Appl. Math. Modelling 99, 804--805 (2021; Zbl 1481.65132) Full Text: DOI
Giannenas, Athanasios Emmanouil; Laizet, Sylvain A simple and scalable immersed boundary method for high-fidelity simulations of fixed and moving objects on a Cartesian mesh. (English) Zbl 1481.76117 Appl. Math. Modelling 99, 606-627 (2021). MSC: 76F65 76M15 PDFBibTeX XMLCite \textit{A. E. Giannenas} and \textit{S. Laizet}, Appl. Math. Modelling 99, 606--627 (2021; Zbl 1481.76117) Full Text: DOI
Kumar, Abhishek; Rajeev A moving boundary problem with space-fractional diffusion logistic population model and density-dependent dispersal rate. (English) Zbl 1481.92104 Appl. Math. Modelling 88, 951-965 (2020). MSC: 92D25 35R11 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{Rajeev}, Appl. Math. Modelling 88, 951--965 (2020; Zbl 1481.92104) Full Text: DOI
Gordin, Vladimir A.; Shemendyuk, Aleksandr A. Discrete transparent boundary conditions for the equation of rod transverse vibrations. (English) Zbl 1481.74258 Appl. Math. Modelling 88, 550-572 (2020). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{V. A. Gordin} and \textit{A. A. Shemendyuk}, Appl. Math. Modelling 88, 550--572 (2020; Zbl 1481.74258) Full Text: DOI arXiv
Zhang, Yanjie; Wang, Xiao; Huang, Qiao; Duan, Jinqiao; Li, Tingting Numerical analysis and applications of Fokker-Planck equations for stochastic dynamical systems with multiplicative \(\alpha \)-stable noises. (English) Zbl 1481.65027 Appl. Math. Modelling 87, 711-730 (2020). MSC: 65C30 60G52 60H10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Modelling 87, 711--730 (2020; Zbl 1481.65027) Full Text: DOI arXiv
Zhu, Guangpu; Chen, Huangxin; Li, Aifen; Sun, Shuyu; Yao, Jun Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities. (English) Zbl 1481.65169 Appl. Math. Modelling 83, 614-639 (2020). MSC: 65M06 76D05 76M20 76T06 PDFBibTeX XMLCite \textit{G. Zhu} et al., Appl. Math. Modelling 83, 614--639 (2020; Zbl 1481.65169) Full Text: DOI arXiv Link
del Vigo, Ángel; Zubelzu, Sergio; Juana, Luis Numerical routine for soil water dynamics from trickle irrigation. (English) Zbl 1481.76208 Appl. Math. Modelling 83, 371-385 (2020). MSC: 76S05 65M06 86A05 PDFBibTeX XMLCite \textit{Á. del Vigo} et al., Appl. Math. Modelling 83, 371--385 (2020; Zbl 1481.76208) Full Text: DOI
Bodnár, Tomáš; Fraunié, Philippe Numerical simulation of three-dimensional Lee waves behind an isolated hill. (English) Zbl 1481.76058 Appl. Math. Modelling 78, 648-664 (2020). MSC: 76B70 PDFBibTeX XMLCite \textit{T. Bodnár} and \textit{P. Fraunié}, Appl. Math. Modelling 78, 648--664 (2020; Zbl 1481.76058) Full Text: DOI
Gu, Yan; Sun, HongGuang A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives. (English) Zbl 1481.65130 Appl. Math. Modelling 78, 539-549 (2020). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Y. Gu} and \textit{H. Sun}, Appl. Math. Modelling 78, 539--549 (2020; Zbl 1481.65130) Full Text: DOI
da Silva, Nicholas D. P.; Marchi, Carlos H.; Araki, Luciano K.; de Rezende Borges, Rafael B.; Bertoldo, Guilherme; Shu, Chi-Wang Completed repeated Richardson extrapolation for compressible fluid flows. (English) Zbl 1443.76160 Appl. Math. Modelling 77, Part 1, 724-737 (2020). MSC: 76M20 65B15 65M06 PDFBibTeX XMLCite \textit{N. D. P. da Silva} et al., Appl. Math. Modelling 77, Part 1, 724--737 (2020; Zbl 1443.76160) Full Text: DOI
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
Guo, Jiebin; He, Chuanjiang Adaptive shock-diffusion model for restoration of degraded document images. (English) Zbl 1481.65129 Appl. Math. Modelling 79, 555-565 (2020). MSC: 65M06 65M12 35G25 68U10 PDFBibTeX XMLCite \textit{J. Guo} and \textit{C. He}, Appl. Math. Modelling 79, 555--565 (2020; Zbl 1481.65129) Full Text: DOI
Remešíková, Mariana; Šagát, Marián; Novysedlák, Peter Discrete Lagrangian algorithm for finding geodesics on triangular meshes. (English) Zbl 1481.53056 Appl. Math. Modelling 76, 396-427 (2019). MSC: 53C22 65M06 86A30 PDFBibTeX XMLCite \textit{M. Remešíková} et al., Appl. Math. Modelling 76, 396--427 (2019; Zbl 1481.53056) Full Text: DOI
Gu, Yan; Hua, Qingsong; Zhang, Chuanzeng; He, Xiaoqiao The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials. (English) Zbl 1481.74032 Appl. Math. Modelling 71, 316-330 (2019). MSC: 74A15 74E10 74E30 65M06 80A19 PDFBibTeX XMLCite \textit{Y. Gu} et al., Appl. Math. Modelling 71, 316--330 (2019; Zbl 1481.74032) Full Text: DOI
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Chen, Jie; He, Yuan; Li, Ying Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains. (English) Zbl 1464.65141 Appl. Math. Modelling 70, 246-263 (2019). MSC: 65M70 65M06 65M12 35K57 35Q79 35R11 PDFBibTeX XMLCite \textit{S. Guo} et al., Appl. Math. Modelling 70, 246--263 (2019; Zbl 1464.65141) Full Text: DOI
Zhu, Guangpu; Chen, Huangxin; Yao, Jun; Sun, Shuyu Efficient energy-stable schemes for the hydrodynamics coupled phase-field model. (English) Zbl 1462.76133 Appl. Math. Modelling 70, 82-108 (2019). MSC: 76M20 76T10 65M06 65M12 PDFBibTeX XMLCite \textit{G. Zhu} et al., Appl. Math. Modelling 70, 82--108 (2019; Zbl 1462.76133) Full Text: DOI Link
Vabishchevich, Petr N. Computational identification of the lowest space-wise dependent coefficient of a parabolic equation. (English) Zbl 1481.65177 Appl. Math. Modelling 65, 361-376 (2019). MSC: 65M32 35R30 65M06 35K20 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Appl. Math. Modelling 65, 361--376 (2019; Zbl 1481.65177) Full Text: DOI arXiv
Gyrya, Vitaliy; Zlotnik, Anatoly An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks. (English) Zbl 1480.76102 Appl. Math. Modelling 65, 34-51 (2019). MSC: 76N15 76M20 90B10 PDFBibTeX XMLCite \textit{V. Gyrya} and \textit{A. Zlotnik}, Appl. Math. Modelling 65, 34--51 (2019; Zbl 1480.76102) Full Text: DOI arXiv
Ruocco, Eugenio; Zhang, H.; Wang, C. M. Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model. (English) Zbl 1480.74089 Appl. Math. Modelling 63, 445-463 (2018). MSC: 74G60 74H45 PDFBibTeX XMLCite \textit{E. Ruocco} et al., Appl. Math. Modelling 63, 445--463 (2018; Zbl 1480.74089) Full Text: DOI Link
Courtier, N. E.; Richardson, G.; Foster, J. M. A fast and robust numerical scheme for solving models of charge carrier transport and ion vacancy motion in perovskite solar cells. (English) Zbl 1480.82018 Appl. Math. Modelling 63, 329-348 (2018). MSC: 82M10 65M06 65M60 82C70 PDFBibTeX XMLCite \textit{N. E. Courtier} et al., Appl. Math. Modelling 63, 329--348 (2018; Zbl 1480.82018) Full Text: DOI arXiv
Parseh, Kaveh; Hejranfar, Kazem Development of a high-order compact finite-difference total Lagrangian method for nonlinear structural dynamic analysis. (English) Zbl 1480.74009 Appl. Math. Modelling 63, 179-202 (2018). MSC: 74A15 65M06 PDFBibTeX XMLCite \textit{K. Parseh} and \textit{K. Hejranfar}, Appl. Math. Modelling 63, 179--202 (2018; Zbl 1480.74009) Full Text: DOI
Adekanye, Oluwaseye; Washington, Talitha Nonstandard finite difference scheme for a Tacoma Narrows Bridge model. (English) Zbl 1466.74049 Appl. Math. Modelling 62, 223-236 (2018). MSC: 74S20 PDFBibTeX XMLCite \textit{O. Adekanye} and \textit{T. Washington}, Appl. Math. Modelling 62, 223--236 (2018; Zbl 1466.74049) Full Text: DOI
Zhang, H.; Wang, C. M.; Challamel, Noël; Zhang, Y. P. Uncovering the finite difference model equivalent to Hencky bar-net model for axisymmetric bending of circular and annular plates. (English) Zbl 1460.74086 Appl. Math. Modelling 61, 300-315 (2018). MSC: 74S20 74K20 PDFBibTeX XMLCite \textit{H. Zhang} et al., Appl. Math. Modelling 61, 300--315 (2018; Zbl 1460.74086) Full Text: DOI Link
Korkut, Fuat; Tokdemir, Turgut; Mengi, Yalçın The use of generalized finite difference method in perfectly matched layer analysis. (English) Zbl 1480.65211 Appl. Math. Modelling 60, 127-144 (2018). MSC: 65M06 74S20 78M20 PDFBibTeX XMLCite \textit{F. Korkut} et al., Appl. Math. Modelling 60, 127--144 (2018; Zbl 1480.65211) Full Text: DOI
Han, Huan; Li, Xing; Zhou, Huan-Song 3D mathematical model and numerical simulation for laying marine cable along prescribed trajectory on seabed. (English) Zbl 1480.35325 Appl. Math. Modelling 60, 94-111 (2018). MSC: 35Q35 35L53 35L70 35R35 65M06 PDFBibTeX XMLCite \textit{H. Han} et al., Appl. Math. Modelling 60, 94--111 (2018; Zbl 1480.35325) Full Text: DOI
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
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. (English) Zbl 1480.65253 Appl. Math. Modelling 59, 441-463 (2018). MSC: 65M60 35R11 65M06 PDFBibTeX XMLCite \textit{L. Feng} et al., Appl. Math. Modelling 59, 441--463 (2018; Zbl 1480.65253) Full Text: DOI Link
Benito, Juan José; Ureña, Francisco; Ureña, Miguel; Salete, Eduardo; Gavete, Luis A new meshless approach to deal with interfaces in seismic problems. (English) Zbl 1480.86008 Appl. Math. Modelling 58, 447-458 (2018). MSC: 86A15 65M06 PDFBibTeX XMLCite \textit{J. J. Benito} et al., Appl. Math. Modelling 58, 447--458 (2018; Zbl 1480.86008) Full Text: DOI
Ying, Jinyong; Xie, Dexuan A hybrid solver of size modified Poisson-Boltzmann equation by domain decomposition, finite element, and finite difference. (English) Zbl 1480.65348 Appl. Math. Modelling 58, 166-180 (2018). MSC: 65N30 65N06 65N55 65Y15 PDFBibTeX XMLCite \textit{J. Ying} and \textit{D. Xie}, Appl. Math. Modelling 58, 166--180 (2018; Zbl 1480.65348) Full Text: DOI arXiv
Lacitignola, Deborah; Bozzini, Benedetto; Peipmann, Ralf; Sgura, Ivonne Cross-diffusion effects on a morphochemical model for electrodeposition. (English) Zbl 1480.92030 Appl. Math. Modelling 57, 492-513 (2018). MSC: 92C15 35K57 65M06 PDFBibTeX XMLCite \textit{D. Lacitignola} et al., Appl. Math. Modelling 57, 492--513 (2018; Zbl 1480.92030) Full Text: DOI
Bourantas, G. C.; Mountris, K. A.; Loukopoulos, V. C.; Lavier, L.; Joldes, G. R.; Wittek, A.; Miller, Karol Strong-form approach to elasticity: hybrid finite difference-meshless collocation method (FDMCM). (English) Zbl 1480.65353 Appl. Math. Modelling 57, 316-338 (2018). MSC: 65N35 74B05 PDFBibTeX XMLCite \textit{G. C. Bourantas} et al., Appl. Math. Modelling 57, 316--338 (2018; Zbl 1480.65353) Full Text: DOI Link
do Carmo, J. S. A.; Ferreira, J. A.; Pinto, L.; Romanazzi, G. An improved Serre model: efficient simulation and comparative evaluation. (English) Zbl 1480.76015 Appl. Math. Modelling 56, 404-423 (2018). MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{J. S. A. do Carmo} et al., Appl. Math. Modelling 56, 404--423 (2018; Zbl 1480.76015) Full Text: DOI
Zhang, Lin; Yin, Xiaochun; Yang, Jun; Wang, Hui; Deng, Qingming; Yu, Bo; Hao, Qiming; Ding, Huaiping; Qi, Xiaoli; Jin, Tengfei; Dong, Xiaoyun Transient impact response analysis of an elastic-plastic beam. (English) Zbl 1480.74035 Appl. Math. Modelling 55, 616-636 (2018). MSC: 74C05 74K10 PDFBibTeX XMLCite \textit{L. Zhang} et al., Appl. Math. Modelling 55, 616--636 (2018; Zbl 1480.74035) Full Text: DOI
Mohanty, R. K.; Kaur, Deepti Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions. (English) Zbl 1480.65218 Appl. Math. Modelling 55, 281-298 (2018). MSC: 65M06 65M12 74H45 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{D. Kaur}, Appl. Math. Modelling 55, 281--298 (2018; Zbl 1480.65218) Full Text: DOI
Wu, Yongfei; Li, Meng; Zhang, Qifeng; Liu, Yang A retinex modulated piecewise constant variational model for image segmentation and bias correction. (English) Zbl 1480.94012 Appl. Math. Modelling 54, 697-709 (2018). MSC: 94A08 65M06 PDFBibTeX XMLCite \textit{Y. Wu} et al., Appl. Math. Modelling 54, 697--709 (2018; Zbl 1480.94012) Full Text: DOI
Benito, J. J.; Ureña, F.; Gavete, L.; Salete, E.; Ureña, M. Implementations with generalized finite differences of the displacements and velocity-stress formulations of seismic wave propagation problem. (English) Zbl 1480.65203 Appl. Math. Modelling 52, 1-14 (2017). MSC: 65M06 86-08 86A15 PDFBibTeX XMLCite \textit{J. J. Benito} et al., Appl. Math. Modelling 52, 1--14 (2017; Zbl 1480.65203) Full Text: DOI
Hidayat, Z.; Babuška, R.; Núñez, A.; De Schutter, B. Identification of distributed-parameter systems from sparse measurements. (English) Zbl 1480.93086 Appl. Math. Modelling 51, 605-625 (2017). MSC: 93B30 65L09 PDFBibTeX XMLCite \textit{Z. Hidayat} et al., Appl. Math. Modelling 51, 605--625 (2017; Zbl 1480.93086) Full Text: DOI Link
Kałuża, Grażyna; Majchrzak, Ewa; Turchan, Łukasz Sensitivity analysis of temperature field in the heated soft tissue with respect to the perturbations of porosity. (English) Zbl 1480.80006 Appl. Math. Modelling 49, 498-513 (2017). MSC: 80A19 80M20 92C30 PDFBibTeX XMLCite \textit{G. Kałuża} et al., Appl. Math. Modelling 49, 498--513 (2017; Zbl 1480.80006) Full Text: DOI
Bürger, Raimund; Diehl, Stefan; Martí, M. Carmen; Mulet, Pep; Nopens, Ingmar; Torfs, Elena; Vanrolleghem, Peter A. Numerical solution of a multi-class model for batch settling in water resource recovery facilities. (English) Zbl 1480.65234 Appl. Math. Modelling 49, 415-436 (2017). MSC: 65M20 65M06 76M20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Appl. Math. Modelling 49, 415--436 (2017; Zbl 1480.65234) Full Text: DOI
Brillard, Alain; Brilhac, J.-F.; Gilot, P. A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates. (English) Zbl 1480.65313 Appl. Math. Modelling 49, 182-198 (2017). MSC: 65N06 80A25 PDFBibTeX XMLCite \textit{A. Brillard} et al., Appl. Math. Modelling 49, 182--198 (2017; Zbl 1480.65313) Full Text: DOI
Freitas, Amauri A.; Alfaro Vigo, Daniel G.; Teixeira, Marcello G.; de Vasconcellos, Carlos A. B. Horizontal water flow in unsaturated porous media using a fractional integral method with an adaptive time step. (English) Zbl 1480.76119 Appl. Math. Modelling 48, 584-592 (2017). MSC: 76S05 PDFBibTeX XMLCite \textit{A. A. Freitas} et al., Appl. Math. Modelling 48, 584--592 (2017; Zbl 1480.76119) Full Text: DOI
Mitchell, Sarah L.; Vynnycky, M. Verified reduction of a model for a continuous casting process. (English) Zbl 1480.80011 Appl. Math. Modelling 48, 476-490 (2017). MSC: 80A22 76M20 PDFBibTeX XMLCite \textit{S. L. Mitchell} and \textit{M. Vynnycky}, Appl. Math. Modelling 48, 476--490 (2017; Zbl 1480.80011) Full Text: DOI
Ramos, J. I.; García-López, C. M. Time-linearized, compact methods for the inviscid GRLW equation subject to initial Gaussian conditions. (English) Zbl 1480.65221 Appl. Math. Modelling 48, 353-383 (2017). MSC: 65M06 65M12 76B25 76M20 PDFBibTeX XMLCite \textit{J. I. Ramos} and \textit{C. M. García-López}, Appl. Math. Modelling 48, 353--383 (2017; Zbl 1480.65221) Full Text: DOI
Zoppou, Christopher; Pitt, Jordan; Roberts, Stephen G. Numerical solution of the fully non-linear weakly dispersive Serre equations for steep gradient flows. (English) Zbl 1464.76075 Appl. Math. Modelling 48, 70-95 (2017). MSC: 76M12 76M20 76B15 86A05 PDFBibTeX XMLCite \textit{C. Zoppou} et al., Appl. Math. Modelling 48, 70--95 (2017; Zbl 1464.76075) Full Text: DOI
Sin, Chung-Sik; Zheng, Liancun; Sin, Jun-Sik; Liu, Fawang; Liu, Lin Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates. (English) Zbl 1446.76043 Appl. Math. Modelling 47, 114-127 (2017). MSC: 76-10 PDFBibTeX XMLCite \textit{C.-S. Sin} et al., Appl. Math. Modelling 47, 114--127 (2017; Zbl 1446.76043) Full Text: DOI Link
Shepherd, James S.; Fairweather, M.; Hanson, B. C.; Heggs, P. J. Mathematical model of the oxidation of a uranium carbide fuel pellet including an adherent product layer. (English) Zbl 1446.92023 Appl. Math. Modelling 45, 784-801 (2017). MSC: 92-10 92E10 PDFBibTeX XMLCite \textit{J. S. Shepherd} et al., Appl. Math. Modelling 45, 784--801 (2017; Zbl 1446.92023) Full Text: DOI Link
Yu, H.; Goldsworthy, L.; Brandner, P. A.; Garaniya, V. Development of a compressible multiphase cavitation approach for diesel spray modelling. (English) Zbl 1446.76058 Appl. Math. Modelling 45, 705-727 (2017). MSC: 76-10 76M20 76T10 PDFBibTeX XMLCite \textit{H. Yu} et al., Appl. Math. Modelling 45, 705--727 (2017; Zbl 1446.76058) Full Text: DOI
Reutskiy, S. Yu. A new semi-analytical collocation method for solving multi-term fractional partial differential equations with time variable coefficients. (English) Zbl 1446.65132 Appl. Math. Modelling 45, 238-254 (2017). MSC: 65M70 35R11 65M06 PDFBibTeX XMLCite \textit{S. Yu. Reutskiy}, Appl. Math. Modelling 45, 238--254 (2017; Zbl 1446.65132) Full Text: DOI
Wang, Wen-Quan; Yan, Yan; Tian, Fang-Bao A simple and efficient implicit direct forcing immersed boundary model for simulations of complex flow. (English) Zbl 1446.76050 Appl. Math. Modelling 43, 287-305 (2017). MSC: 76-10 76M20 76D05 76F65 PDFBibTeX XMLCite \textit{W.-Q. Wang} et al., Appl. Math. Modelling 43, 287--305 (2017; Zbl 1446.76050) Full Text: DOI
Yang, L. M.; Shu, C.; Wu, J.; Wang, Y.; Sun, Y. Comparative study of 1D, 2D and 3D simplified gas kinetic schemes for simulation of inviscid compressible flows. (English) Zbl 1446.76057 Appl. Math. Modelling 43, 85-109 (2017). MSC: 76-10 76M20 76M28 PDFBibTeX XMLCite \textit{L. M. Yang} et al., Appl. Math. Modelling 43, 85--109 (2017; Zbl 1446.76057) Full Text: DOI
Tong, Oisin; Katz, Aaron On representing complex configurations as asymptotic geometry. (English) Zbl 1446.76046 Appl. Math. Modelling 43, 33-44 (2017). MSC: 76-10 65M06 PDFBibTeX XMLCite \textit{O. Tong} and \textit{A. Katz}, Appl. Math. Modelling 43, 33--44 (2017; Zbl 1446.76046) Full Text: DOI
Balsa-Canto, Eva; López-Núñez, Alejandro; Vázquez, Carlos Numerical methods for a nonlinear reaction-diffusion system modelling a batch culture of biofilm. (English) Zbl 1443.92007 Appl. Math. Modelling 41, 164-179 (2017). MSC: 92-10 65M06 92C05 PDFBibTeX XMLCite \textit{E. Balsa-Canto} et al., Appl. Math. Modelling 41, 164--179 (2017; Zbl 1443.92007) Full Text: DOI
Chen, Hongbin; Xu, Da; Peng, Yulong A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. (English) Zbl 1443.65439 Appl. Math. Modelling 41, 54-67 (2017). MSC: 65R20 45K05 26A33 65M06 65M12 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Modelling 41, 54--67 (2017; Zbl 1443.65439) Full Text: DOI
Chakraborty, Bhaskar; Banerjee, Jyotirmay A sharpness preserving scheme for interfacial flows. (English) Zbl 1480.65205 Appl. Math. Modelling 40, No. 21-22, 9398-9426 (2016). MSC: 65M06 76T10 PDFBibTeX XMLCite \textit{B. Chakraborty} and \textit{J. Banerjee}, Appl. Math. Modelling 40, No. 21--22, 9398--9426 (2016; Zbl 1480.65205) Full Text: DOI
Kalita, Jiten C.; Gogoi, Bidyut B. A biharmonic approach for the global stability analysis of 2D incompressible viscous flows. (English) Zbl 1471.76050 Appl. Math. Modelling 40, No. 15-16, 6831-6849 (2016). MSC: 76M20 76D05 35B30 35Q35 PDFBibTeX XMLCite \textit{J. C. Kalita} and \textit{B. B. Gogoi}, Appl. Math. Modelling 40, No. 15--16, 6831--6849 (2016; Zbl 1471.76050) Full Text: DOI
Tchuinté Tamen, A.; Dumont, Yves; Tewa, J. J.; Bowong, S.; Couteron, P. Tree-grass interaction dynamics and pulsed fires: mathematical and numerical studies. (English) Zbl 1465.92141 Appl. Math. Modelling 40, No. 11-12, 6165-6197 (2016). MSC: 92D40 65L12 34A37 34D23 PDFBibTeX XMLCite \textit{A. Tchuinté Tamen} et al., Appl. Math. Modelling 40, No. 11--12, 6165--6197 (2016; Zbl 1465.92141) Full Text: DOI arXiv
Li, Dongfang; Zhang, Chengjian; Ran, Maohua A linear finite difference scheme for generalized time fractional Burgers equation. (English) Zbl 1465.65075 Appl. Math. Modelling 40, No. 11-12, 6069-6081 (2016). MSC: 65M06 35Q53 35R11 PDFBibTeX XMLCite \textit{D. Li} et al., Appl. Math. Modelling 40, No. 11--12, 6069--6081 (2016; Zbl 1465.65075) Full Text: DOI
Zhang, H.; Liu, F.; Turner, I.; Chen, S. The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. (English) Zbl 1465.91131 Appl. Math. Modelling 40, No. 11-12, 5819-5834 (2016). MSC: 91G60 65M06 65M12 91G20 PDFBibTeX XMLCite \textit{H. Zhang} et al., Appl. Math. Modelling 40, No. 11--12, 5819--5834 (2016; Zbl 1465.91131) Full Text: DOI
Duan, Xianbao; Qin, Xinqiang; Li, Feifei Topology optimization of Stokes flow using an implicit coupled level set method. (English) Zbl 1465.65070 Appl. Math. Modelling 40, No. 9-10, 5431-5441 (2016). MSC: 65M06 49Q10 76D07 PDFBibTeX XMLCite \textit{X. Duan} et al., Appl. Math. Modelling 40, No. 9--10, 5431--5441 (2016; Zbl 1465.65070) Full Text: DOI
Batista Fernandes, Bruno Ramon; Marcondes, Francisco; Sepehrnoori, Kamy Comparison of two volume balance fully implicit approaches in conjunction with unstructured grids for compositional reservoir simulation. (English) Zbl 1465.65066 Appl. Math. Modelling 40, No. 9-10, 5153-5170 (2016). MSC: 65M06 PDFBibTeX XMLCite \textit{B. R. Batista Fernandes} et al., Appl. Math. Modelling 40, No. 9--10, 5153--5170 (2016; Zbl 1465.65066) Full Text: DOI
Ireka, I. E.; Chinyoka, T. Analysis of shear banding phenomena in non-isothermal flow of fluids governed by the diffusive Johnson-Segalman model. (English) Zbl 1459.76006 Appl. Math. Modelling 40, No. 5-6, 3843-3859 (2016). MSC: 76A10 PDFBibTeX XMLCite \textit{I. E. Ireka} and \textit{T. Chinyoka}, Appl. Math. Modelling 40, No. 5--6, 3843--3859 (2016; Zbl 1459.76006) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. (English) Zbl 1459.65194 Appl. Math. Modelling 40, No. 5-6, 3635-3654 (2016). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Math. Modelling 40, No. 5--6, 3635--3654 (2016; Zbl 1459.65194) Full Text: DOI
Charpentier, Isabelle; Lampoh, Komlanvi Sensitivity computations in higher order continuation methods. (English) Zbl 1452.35087 Appl. Math. Modelling 40, No. 4, 3365-3380 (2016). MSC: 35K91 35K20 65M06 65P30 PDFBibTeX XMLCite \textit{I. Charpentier} and \textit{K. Lampoh}, Appl. Math. Modelling 40, No. 4, 3365--3380 (2016; Zbl 1452.35087) Full Text: DOI
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong New approximations for solving the Caputo-type fractional partial differential equations. (English) Zbl 1452.65176 Appl. Math. Modelling 40, No. 4, 2625-2636 (2016). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{J. Ren} et al., Appl. Math. Modelling 40, No. 4, 2625--2636 (2016; Zbl 1452.65176) Full Text: DOI
Hejranfar, Kazem; Parseh, Kaveh Numerical simulation of structural dynamics using a high-order compact finite-difference scheme. (English) Zbl 1452.74115 Appl. Math. Modelling 40, No. 3, 2431-2453 (2016). MSC: 74S20 65M06 PDFBibTeX XMLCite \textit{K. Hejranfar} and \textit{K. Parseh}, Appl. Math. Modelling 40, No. 3, 2431--2453 (2016; Zbl 1452.74115) Full Text: DOI
Sekhar, T. V. S.; Hema Sundar Raju, B.; Murthy, P. V. S. N. Higher order compact scheme for laminar natural convective heat transfer from a sphere. (English) Zbl 1452.65177 Appl. Math. Modelling 40, No. 3, 2039-2055 (2016). MSC: 65M06 76D05 80A19 PDFBibTeX XMLCite \textit{T. V. S. Sekhar} et al., Appl. Math. Modelling 40, No. 3, 2039--2055 (2016; Zbl 1452.65177) Full Text: DOI
Hu, Xiuling; Zhang, Luming An analysis of a second order difference scheme for the fractional subdiffusion system. (English) Zbl 1446.65067 Appl. Math. Modelling 40, No. 2, 1634-1649 (2016). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{X. Hu} and \textit{L. Zhang}, Appl. Math. Modelling 40, No. 2, 1634--1649 (2016; Zbl 1446.65067) Full Text: DOI
Chang, Chih-Wen; Liu, Chein-Shan An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations. (English) Zbl 1446.65125 Appl. Math. Modelling 40, No. 2, 1157-1167 (2016). MSC: 65M70 35Q53 65M06 65M12 PDFBibTeX XMLCite \textit{C.-W. Chang} and \textit{C.-S. Liu}, Appl. Math. Modelling 40, No. 2, 1157--1167 (2016; Zbl 1446.65125) Full Text: DOI
Gavete, L.; Benito, J. J.; Ureña, F. Generalized finite differences for solving 3D elliptic and parabolic equations. (English) Zbl 1446.74214 Appl. Math. Modelling 40, No. 2, 955-965 (2016). MSC: 74S20 65M06 65N06 PDFBibTeX XMLCite \textit{L. Gavete} et al., Appl. Math. Modelling 40, No. 2, 955--965 (2016; Zbl 1446.74214) Full Text: DOI
Jasiński, Marek; Majchrzak, E.; Turchan, L. Numerical analysis of the interactions between laser and soft tissues using generalized dual-phase lag equation. (English) Zbl 1446.92014 Appl. Math. Modelling 40, No. 2, 750-762 (2016). MSC: 92-10 92C50 78A60 PDFBibTeX XMLCite \textit{M. Jasiński} et al., Appl. Math. Modelling 40, No. 2, 750--762 (2016; Zbl 1446.92014) Full Text: DOI
Wu, Jiafeng; Wang, Ruihe; Zhang, Rui; Sun, Feng Propagation model with multi-boundary conditions for periodic mud pressure wave in long wellbore. (English) Zbl 1443.76087 Appl. Math. Modelling 39, No. 23-24, 7643-7656 (2015). MSC: 76-10 76M20 PDFBibTeX XMLCite \textit{J. Wu} et al., Appl. Math. Modelling 39, No. 23--24, 7643--7656 (2015; Zbl 1443.76087) Full Text: DOI
Wang, Lan; Kong, Linghua; Zhang, Liying; Zhou, Wenying; Zheng, Xiaohong Multi-symplectic preserving integrator for the Schrödinger equation with wave operator. (English) Zbl 1443.65144 Appl. Math. Modelling 39, No. 22, 6817-6829 (2015). MSC: 65M06 35Q55 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Modelling 39, No. 22, 6817--6829 (2015; Zbl 1443.65144) Full Text: DOI arXiv
Dong, Gang; Guo, Zhichang; Zhou, Zhenyu; Zhang, Dazhi; Wo, Boying Coherence-enhancing diffusion with the source term. (English) Zbl 1437.94016 Appl. Math. Modelling 39, No. 19, 6060-6072 (2015). MSC: 94A08 65M06 PDFBibTeX XMLCite \textit{G. Dong} et al., Appl. Math. Modelling 39, No. 19, 6060--6072 (2015; Zbl 1437.94016) Full Text: DOI
Yang, Ai-Li; Wu, Yu-Jiang; Huang, Zheng-Da; Yuan, Jin-Yun Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems. (English) Zbl 1443.65289 Appl. Math. Modelling 39, No. 18, 5436-5451 (2015). MSC: 65N06 65F08 65N22 35J25 PDFBibTeX XMLCite \textit{A.-L. Yang} et al., Appl. Math. Modelling 39, No. 18, 5436--5451 (2015; Zbl 1443.65289) Full Text: DOI
Mitchell, S. L.; Vynnycky, M. The oxygen diffusion problem: analysis and numerical solution. (English) Zbl 1443.65134 Appl. Math. Modelling 39, No. 9, 2763-2776 (2015). MSC: 65M06 80A22 PDFBibTeX XMLCite \textit{S. L. Mitchell} and \textit{M. Vynnycky}, Appl. Math. Modelling 39, No. 9, 2763--2776 (2015; Zbl 1443.65134) Full Text: DOI
Santiago, C. D.; Marchi, C. H.; Souza, L. F. Performance of geometric multigrid method for coupled two-dimensional systems in CFD. (English) Zbl 1443.65286 Appl. Math. Modelling 39, No. 9, 2602-2616 (2015). MSC: 65N06 65N55 PDFBibTeX XMLCite \textit{C. D. Santiago} et al., Appl. Math. Modelling 39, No. 9, 2602--2616 (2015; Zbl 1443.65286) Full Text: DOI
Parzlivand, F.; Shahrezaee, A. M. Numerical solution of an inverse reaction-diffusion problem via collocation method based on radial basis functions. (English) Zbl 1443.65176 Appl. Math. Modelling 39, No. 13, 3733-3744 (2015). MSC: 65M32 35R30 65D12 65M06 65M70 PDFBibTeX XMLCite \textit{F. Parzlivand} and \textit{A. M. Shahrezaee}, Appl. Math. Modelling 39, No. 13, 3733--3744 (2015; Zbl 1443.65176) Full Text: DOI
Maleki Moghaddam, Nader; Afarideh, Hossein; Espinosa-Paredes, Gilberto Development of a 2D-multigroup code (NFDE-2D) based on the neutron spatial-fractional diffusion equation. (English) Zbl 1443.65133 Appl. Math. Modelling 39, No. 13, 3637-3652 (2015). MSC: 65M06 35R11 82D75 PDFBibTeX XMLCite \textit{N. Maleki Moghaddam} et al., Appl. Math. Modelling 39, No. 13, 3637--3652 (2015; Zbl 1443.65133) Full Text: DOI
Gao, Xiaolong; Jiang, Xiaoyun; Chen, Shanzhen The numerical method for the moving boundary problem with space-fractional derivative in drug release devices. (English) Zbl 1443.92099 Appl. Math. Modelling 39, No. 8, 2385-2391 (2015). MSC: 92C50 35R11 92-08 PDFBibTeX XMLCite \textit{X. Gao} et al., Appl. Math. Modelling 39, No. 8, 2385--2391 (2015; Zbl 1443.92099) Full Text: DOI
Kumar, Vivek; Srinivasan, Balaji An adaptive mesh strategy for singularly perturbed convection diffusion problems. (English) Zbl 1443.65103 Appl. Math. Modelling 39, No. 7, 2081-2091 (2015). MSC: 65L11 65L12 65L50 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{B. Srinivasan}, Appl. Math. Modelling 39, No. 7, 2081--2091 (2015; Zbl 1443.65103) Full Text: DOI
Li, Dongfang; Zhang, Chengjian; Wen, Jinming A note on compact finite difference method for reaction-diffusion equations with delay. (English) Zbl 1443.65132 Appl. Math. Modelling 39, No. 5-6, 1749-1754 (2015). MSC: 65M06 35K20 35R10 65M12 PDFBibTeX XMLCite \textit{D. Li} et al., Appl. Math. Modelling 39, No. 5--6, 1749--1754 (2015; Zbl 1443.65132) Full Text: DOI
Yang, J. Y.; Zhao, Y. M.; Liu, N.; Bu, W. P.; Xu, T. L.; Tang, Y. F. An implicit MLS meshless method for 2-D time dependent fractional diffusion-wave equation. (English) Zbl 1432.65129 Appl. Math. Modelling 39, No. 3-4, 1229-1240 (2015). MSC: 65M06 35R11 45K05 65M12 76M20 PDFBibTeX XMLCite \textit{J. Y. Yang} et al., Appl. Math. Modelling 39, No. 3--4, 1229--1240 (2015; Zbl 1432.65129) Full Text: DOI
Jiang, Yingjun A new analysis of stability and convergence for finite difference schemes solving the time fractional Fokker-Planck equation. (English) Zbl 1432.65122 Appl. Math. Modelling 39, No. 3-4, 1163-1171 (2015). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Y. Jiang}, Appl. Math. Modelling 39, No. 3--4, 1163--1171 (2015; Zbl 1432.65122) Full Text: DOI