Peng, Haijun; Bao, Jinqiu; Huang, Guoke; Li, Zirun; Wang, Xinwei Chance-constrained sneaking trajectory planning for reconnaissance robots. (English) Zbl 1505.93167 Appl. Math. Modelling 112, 224-237 (2022). MSC: 93C85 49J55 PDFBibTeX XMLCite \textit{H. Peng} et al., Appl. Math. Modelling 112, 224--237 (2022; Zbl 1505.93167) Full Text: DOI
Hendy, Ahmed S.; Taha, T. R.; Suragan, D.; Zaky, Mahmoud A. An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential. (English) Zbl 1503.65229 Appl. Math. Modelling 108, 512-530 (2022). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{A. S. Hendy} et al., Appl. Math. Modelling 108, 512--530 (2022; Zbl 1503.65229) Full Text: DOI
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A. Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments. (English) Zbl 1481.65196 Appl. Math. Modelling 89, Part 1, 819-836 (2021). MSC: 65M70 35R11 65M12 PDFBibTeX XMLCite \textit{O. Nikan} et al., Appl. Math. Modelling 89, Part 1, 819--836 (2021; Zbl 1481.65196) Full Text: DOI
Ghoneim, Adam Yehudi A smoothed particle hydrodynamics-phase field method with radial basis functions and moving least squares for meshfree simulation of dendritic solidification. (English) Zbl 1481.35328 Appl. Math. Modelling 77, Part 2, 1704-1741 (2020). MSC: 35Q35 35R37 65Z05 PDFBibTeX XMLCite \textit{A. Y. Ghoneim}, Appl. Math. Modelling 77, Part 2, 1704--1741 (2020; Zbl 1481.35328) 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
Rømcke, Olav; Kristoffersen, Reidar A projection method for convection-dominated phase transitions. (English) Zbl 1464.80012 Appl. Math. Modelling 70, 18-30 (2019). MSC: 80A22 76R10 76S05 PDFBibTeX XMLCite \textit{O. Rømcke} and \textit{R. Kristoffersen}, Appl. Math. Modelling 70, 18--30 (2019; Zbl 1464.80012) Full Text: DOI
Mennemann, J.-F.; Marko, L.; Schmidt, J.; Kemmetmüller, W.; Kugi, A. The spectral element method as an efficient tool for transient simulations of hydraulic systems. (English) Zbl 1480.65286 Appl. Math. Modelling 54, 627-647 (2018). MSC: 65M70 76M22 PDFBibTeX XMLCite \textit{J. F. Mennemann} et al., Appl. Math. Modelling 54, 627--647 (2018; Zbl 1480.65286) Full Text: DOI arXiv
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. (English) Zbl 1443.65255 Appl. Math. Modelling 42, 462-477 (2017). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{Z. Weng} et al., Appl. Math. Modelling 42, 462--477 (2017; Zbl 1443.65255) 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
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
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. (English) Zbl 1446.65135 Appl. Math. Modelling 40, No. 2, 1315-1324 (2016). MSC: 65M70 35R11 35K57 PDFBibTeX XMLCite \textit{S. Zhai} et al., Appl. Math. Modelling 40, No. 2, 1315--1324 (2016; Zbl 1446.65135) Full Text: DOI
Mokhtary, Payam; Ghoreishi, F.; Srivastava, H. M. The Müntz-Legendre tau method for fractional differential equations. (English) Zbl 1446.65041 Appl. Math. Modelling 40, No. 2, 671-684 (2016). MSC: 65L05 34A08 65L60 PDFBibTeX XMLCite \textit{P. Mokhtary} et al., Appl. Math. Modelling 40, No. 2, 671--684 (2016; Zbl 1446.65041) Full Text: DOI
Singh, Chandra Shekher; Singh, Harendra; Singh, Vineet Kumar; Singh, Om P. Fractional order operational matrix methods for fractional singular integro-differential equation. (English) Zbl 1443.65446 Appl. Math. Modelling 40, No. 23-24, 10705-10718 (2016). MSC: 65R20 45J05 26A33 PDFBibTeX XMLCite \textit{C. S. Singh} et al., Appl. Math. Modelling 40, No. 23--24, 10705--10718 (2016; Zbl 1443.65446) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Abdelkawy, M. A.; Hafez, R. M. An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions. (English) Zbl 1443.65237 Appl. Math. Modelling 39, No. 18, 5616-5635 (2015). MSC: 65M70 35L20 65M12 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Appl. Math. Modelling 39, No. 18, 5616--5635 (2015; Zbl 1443.65237) Full Text: DOI
Zhang, Xiao-yong Jacobi spectral method for the second-kind Volterra integral equations with a weakly singular kernel. (English) Zbl 1443.65448 Appl. Math. Modelling 39, No. 15, 4421-4431 (2015). MSC: 65R20 45D05 45E10 PDFBibTeX XMLCite \textit{X.-y. Zhang}, Appl. Math. Modelling 39, No. 15, 4421--4431 (2015; Zbl 1443.65448) Full Text: DOI
Shao, Wenting; Wu, Xionghua An effective Chebyshev tau meshless domain decomposition method based on the integration-differentiation for solving fourth order equations. (English) Zbl 1443.65393 Appl. Math. Modelling 39, No. 9, 2554-2569 (2015). MSC: 65N35 65N55 PDFBibTeX XMLCite \textit{W. Shao} and \textit{X. Wu}, Appl. Math. Modelling 39, No. 9, 2554--2569 (2015; Zbl 1443.65393) Full Text: DOI
Luo, Man; Xu, Da; Li, Limei A compact difference scheme for a partial integro-differential equation with a weakly singular kernel. (English) Zbl 1432.65198 Appl. Math. Modelling 39, No. 2, 947-954 (2015). MSC: 65R20 45K05 65M06 65M12 PDFBibTeX XMLCite \textit{M. Luo} et al., Appl. Math. Modelling 39, No. 2, 947--954 (2015; Zbl 1432.65198) Full Text: DOI
Zhao, Xuan; Xu, Qinwu Efficient numerical schemes for fractional sub-diffusion equation with the spatially variable coefficient. (English) Zbl 1429.65210 Appl. Math. Modelling 38, No. 15-16, 3848-3859 (2014). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Q. Xu}, Appl. Math. Modelling 38, No. 15--16, 3848--3859 (2014; Zbl 1429.65210) Full Text: DOI
Li, Changpin; Ding, Hengfei Higher order finite difference method for the reaction and anomalous-diffusion equation. (English) Zbl 1429.65188 Appl. Math. Modelling 38, No. 15-16, 3802-3821 (2014). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{C. Li} and \textit{H. Ding}, Appl. Math. Modelling 38, No. 15--16, 3802--3821 (2014; Zbl 1429.65188) Full Text: DOI
Yang, J. Y.; Huang, J. F.; Liang, D. M.; Tang, Y. F. Numerical solution of fractional diffusion-wave equation based on fractional multistep method. (English) Zbl 1427.65196 Appl. Math. Modelling 38, No. 14, 3652-3661 (2014). MSC: 65M06 35R11 65M12 65R20 PDFBibTeX XMLCite \textit{J. Y. Yang} et al., Appl. Math. Modelling 38, No. 14, 3652--3661 (2014; Zbl 1427.65196) Full Text: DOI
Mai-Duy, N.; Thai-Quang, N.; Hoang-Trieu, T.-T.; Tran-Cong, T. A compact 9 point stencil based on integrated RBFs for the convection-diffusion equation. (English) Zbl 1427.65330 Appl. Math. Modelling 38, No. 4, 1495-1510 (2014). MSC: 65N06 65D12 76M99 PDFBibTeX XMLCite \textit{N. Mai-Duy} et al., Appl. Math. Modelling 38, No. 4, 1495--1510 (2014; Zbl 1427.65330) Full Text: DOI
Ma, Xiaohua; Huang, Chengming Spectral collocation method for linear fractional integro-differential equations. (English) Zbl 1427.65421 Appl. Math. Modelling 38, No. 4, 1434-1448 (2014). MSC: 65R20 34K37 45J05 65L60 PDFBibTeX XMLCite \textit{X. Ma} and \textit{C. Huang}, Appl. Math. Modelling 38, No. 4, 1434--1448 (2014; Zbl 1427.65421) Full Text: DOI
Zakeri, Ali; Shayegan, Amir Hossein Salehi Gradient WEB-spline finite element method for solving two-dimensional quasilinear elliptic problems. (English) Zbl 1427.65385 Appl. Math. Modelling 38, No. 2, 775-783 (2014). MSC: 65N30 35J62 PDFBibTeX XMLCite \textit{A. Zakeri} and \textit{A. H. S. Shayegan}, Appl. Math. Modelling 38, No. 2, 775--783 (2014; Zbl 1427.65385) Full Text: DOI
Heydari, M.; Loghmani, G. B.; Hosseini, S. M. Operational matrices of Chebyshev cardinal functions and their application for solving delay differential equations arising in electrodynamics with error estimation. (English) Zbl 1449.65141 Appl. Math. Modelling 37, No. 14-15, 7789-7809 (2013). MSC: 65L03 34K07 65L60 65L70 65R20 PDFBibTeX XMLCite \textit{M. Heydari} et al., Appl. Math. Modelling 37, No. 14--15, 7789--7809 (2013; Zbl 1449.65141) Full Text: DOI
An-Vo, D.-A.; Mai-Duy, N.; Tran, C.-D.; Tran-Cong, T. ADI method based on \(C^2\)-continuous two-node integrated-RBF elements for viscous flows. (English) Zbl 1426.76495 Appl. Math. Modelling 37, No. 7, 5184-5203 (2013). MSC: 76M22 65N35 76D05 PDFBibTeX XMLCite \textit{D. A. An-Vo} et al., Appl. Math. Modelling 37, No. 7, 5184--5203 (2013; Zbl 1426.76495) Full Text: DOI
Rismani, Ali Mohamadnejad; Monfared, Hossein Numerical solution of singular IVPs of Lane-Emden type using a modified Legendre-spectral method. (English) Zbl 1252.65135 Appl. Math. Modelling 36, No. 10, 4830-4836 (2012). MSC: 65L60 PDFBibTeX XMLCite \textit{A. M. Rismani} and \textit{H. Monfared}, Appl. Math. Modelling 36, No. 10, 4830--4836 (2012; Zbl 1252.65135) Full Text: DOI
Zhao, Tinggang; Li, Can; Zang, Zilong; Wu, Yujiang Chebyshev-Legendre pseudo-spectral method for the generalised Burgers-Fisher equation. (English) Zbl 1243.65126 Appl. Math. Modelling 36, No. 3, 1046-1056 (2012). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{T. Zhao} et al., Appl. Math. Modelling 36, No. 3, 1046--1056 (2012; Zbl 1243.65126) Full Text: DOI
Karabelas, S. J.; Koumroglou, B. C.; Argyropoulos, C. D.; Markatos, N. C. High Reynolds number turbulent flow past a rotating cylinder. (English) Zbl 1236.76027 Appl. Math. Modelling 36, No. 1, 379-398 (2012). MSC: 76F60 76M10 PDFBibTeX XMLCite \textit{S. J. Karabelas} et al., Appl. Math. Modelling 36, No. 1, 379--398 (2012; Zbl 1236.76027) Full Text: DOI
Feng, Xinlong; He, Yinnian; Liu, Demin Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. (English) Zbl 1228.76040 Appl. Math. Modelling 35, No. 12, 5856-5871 (2011). MSC: 76D05 65M60 65M12 76M10 PDFBibTeX XMLCite \textit{X. Feng} et al., Appl. Math. Modelling 35, No. 12, 5856--5871 (2011; Zbl 1228.76040) Full Text: DOI
He, Li-Ping; Zhang, J. H. A second-order conservational difference scheme for the one-dimensional model of martensitic transformations with nonlinear boundary conditions. (English) Zbl 1221.74081 Appl. Math. Modelling 35, No. 7, 3484-3494 (2011). MSC: 74S20 74N30 35Q74 PDFBibTeX XMLCite \textit{L.-P. He} and \textit{J. H. Zhang}, Appl. Math. Modelling 35, No. 7, 3484--3494 (2011; Zbl 1221.74081) Full Text: DOI
Fernandino, M.; Dorao, C. A. The least squares spectral element method for the Cahn-Hilliard equation. (English) Zbl 1205.76158 Appl. Math. Modelling 35, No. 2, 797-806 (2011). MSC: 76M10 65M60 65M70 80M10 PDFBibTeX XMLCite \textit{M. Fernandino} and \textit{C. A. Dorao}, Appl. Math. Modelling 35, No. 2, 797--806 (2011; Zbl 1205.76158) Full Text: DOI
Sekhar, T. V. S.; Sivakumar, R.; Kumar, H.; Ravi Kumar, T. V. R. Effect of aligned magnetic field on the steady viscous flow past a circular cylinder. (English) Zbl 1139.76060 Appl. Math. Modelling 31, No. 1, 130-139 (2007). MSC: 76W05 76M20 PDFBibTeX XMLCite \textit{T. V. S. Sekhar} et al., Appl. Math. Modelling 31, No. 1, 130--139 (2007; Zbl 1139.76060) Full Text: DOI
Delis, A. I.; Katsaounis, Th. Numerical solution of the two-dimensional shallow water equations by the application of relaxation methods. (English) Zbl 1067.76586 Appl. Math. Modelling 29, No. 8, 754-783 (2005). MSC: 76M20 76B15 PDFBibTeX XMLCite \textit{A. I. Delis} and \textit{Th. Katsaounis}, Appl. Math. Modelling 29, No. 8, 754--783 (2005; Zbl 1067.76586) Full Text: DOI