Cao, Jiawei; Chen, Yiming; Wang, Yuanhui; Cheng, Gang; Barrière, Thierry; Wang, Lei Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function. (English) Zbl 1481.74428 Appl. Math. Modelling 91, 374-389 (2021). MSC: 74K10 35R11 65M70 65T60 74D05 74S22 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Lihui; Yu, Yongping; Cheng, Jinhua; Zheng, Shaopeng; Lim, C. W. Accurate analytical approximation to post-buckling of column with Ramberg-Osgood constitutive law. (English) Zbl 1481.74432 Appl. Math. Modelling 98, 121-133 (2021). MSC: 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Kundu, Snehasis; Ghoshal, Koeli Effects of non-locality on unsteady nonequilibrium sediment transport in turbulent flows: a study using space fractional ADE with fractional divergence. (English) Zbl 1481.76126 Appl. Math. Modelling 96, 617-644 (2021). MSC: 76F99 35Q35 76T20 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, H.; Sladek, J.; Sladek, V.; Wang, S. K.; Wen, P. H. Hybrid meshless/displacement discontinuity method for FGM Reissner’s plate with cracks. (English) Zbl 1481.74506 Appl. Math. Modelling 90, 1226-1244 (2021). MSC: 74K20 74R10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chenxi, Zhang; Shenghu, Ding Continuous contact problem of thermoelectric layer pressed by rigid punch. (English) Zbl 1481.74575 Appl. Math. Modelling 100, 536-548 (2021). MSC: 74M15 74M20 × Cite Format Result Cite Review PDF Full Text: DOI
Yue, Xingxing; Wang, Fajie; Zhang, Chuanzeng; Zhang, Hongxin Localized boundary knot method for 3D inhomogeneous acoustic problems with complicated geometry. (English) Zbl 1481.65247 Appl. Math. Modelling 92, 410-421 (2021). MSC: 65N38 65D12 65N12 65N35 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Dang, HuaYang; Lv, ShouYi; Fan, CuiYing; Lu, Chunsheng; Ren, JingLi; Zhao, MingHao Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating. (English) Zbl 1481.74656 Appl. Math. Modelling 81, 641-652 (2020). MSC: 74R10 74E15 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Masjedi, Pedram Khaneh; Weaver, Paul M. Analytical solution for the fully coupled static response of variable stiffness composite beams. (English) Zbl 1481.74456 Appl. Math. Modelling 81, 16-36 (2020). MSC: 74K10 74E30 74G10 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, L. Z.; Zhu, S. R.; Peng, Jianbing Application of the Chebyshev spectral method to the simulation of groundwater flow and rainfall-induced landslides. (English) Zbl 1481.76229 Appl. Math. Modelling 80, 408-425 (2020). MSC: 76S05 65M08 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xuechuan; Xu, Qiuyi; Atluri, Satya N. Combination of the variational iteration method and numerical algorithms for nonlinear problems. (English) Zbl 1481.65114 Appl. Math. Modelling 79, 243-259 (2020). MSC: 65L60 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khaneh Masjedi, Pedram; Maheri, Alireza; Weaver, Paul M. Large deflection of functionally graded porous beams based on a geometrically exact theory with a fully intrinsic formulation. (English) Zbl 1481.74444 Appl. Math. Modelling 76, 938-957 (2019). MSC: 74K10 74F10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Huang, Yixin; Zhao, Yang; Wang, Tianshu; Tian, Hao A new Chebyshev spectral approach for vibration of in-plane functionally graded Mindlin plates with variable thickness. (English) Zbl 1481.74264 Appl. Math. Modelling 74, 21-42 (2019). MSC: 74H45 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Malmir, Iman Novel Chebyshev wavelets algorithms for optimal control and analysis of general linear delay models. (English) Zbl 1466.65046 Appl. Math. Modelling 69, 621-647 (2019). MSC: 65L03 49M25 65L60 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Kang; Gao, Wei; Wu, Binhua; Song, Chongmin Nondeterministic dynamic stability assessment of Euler-Bernoulli beams using Chebyshev surrogate model. (English) Zbl 1481.74437 Appl. Math. Modelling 66, 1-25 (2019). MSC: 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Weike; Wang, Gangfeng Cylindrical indentation of an elastic bonded layer with surface tension. (English) Zbl 1481.74580 Appl. Math. Modelling 65, 597-613 (2019). MSC: 74M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yousefzadeh, Sh.; Jafari, A. A.; Mohammadzadeh, A. Effect of hydrostatic pressure on vibrating functionally graded circular plate coupled with bounded fluid. (English) Zbl 1480.74136 Appl. Math. Modelling 60, 435-446 (2018). MSC: 74H45 74F10 74K20 76D99 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lei; Xiong, Chuang; Wang, Xiaojun; Xu, Menghui; Li, Yunlong A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis. (English) Zbl 1480.62250 Appl. Math. Modelling 59, 680-695 (2018). MSC: 62P30 62M99 90B25 × Cite Format Result Cite Review PDF Full Text: DOI
Dabiri, Arman; Butcher, Eric A. Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods. (English) Zbl 1480.65158 Appl. Math. Modelling 56, 424-448 (2018). MSC: 65L03 34K37 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Çelik, İbrahim Free vibration of non-uniform Euler-Bernoulli beam under various supporting conditions using Chebyshev wavelet collocation method. (English) Zbl 1480.74100 Appl. Math. Modelling 54, 268-280 (2018). MSC: 74H45 74K10 65L10 65L60 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Chao; Chen, Biaosong; Peng, Haijun; Zhang, Sheng Sparse regression Chebyshev polynomial interval method for nonlinear dynamic systems under uncertainty. (English) Zbl 1480.65190 Appl. Math. Modelling 51, 505-525 (2017). MSC: 65L60 65G40 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Jinglai; Luo, Zhen; Li, Hao; Zhang, Nong A new hybrid uncertainty optimization method for structures using orthogonal series expansion. (English) Zbl 1446.74065 Appl. Math. Modelling 45, 474-490 (2017). MSC: 74-10 74P10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Jinglai; Luo, Zhen; Zheng, Jing; Jiang, Chao Incremental modeling of a new high-order polynomial surrogate model. (English) Zbl 1459.62149 Appl. Math. Modelling 40, No. 7-8, 4681-4699 (2016). MSC: 62J99 65C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mirzajani, M.; Khaji, N.; Khodakarami, M. I. A new global nonreflecting boundary condition with diagonal coefficient matrices for analysis of unbounded media. (English) Zbl 1452.74013 Appl. Math. Modelling 40, No. 4, 2845-2874 (2016). MSC: 74A50 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, L. B.; Shieh, L. S.; Tsai, J. S. H.; Wu, C. Y.; Park, J. J. Digital and analog integer delayed modeling and control for multivariable systems with multiple time delays in states, inputs and outputs. (English) Zbl 1446.93008 Appl. Math. Modelling 40, No. 2, 1615-1633 (2016). MSC: 93-10 93C05 93B07 × Cite Format Result Cite Review PDF Full Text: DOI
Parand, K.; Hossayni, Sayyed A.; Rad, J. A. Operation matrix method based on Bernstein polynomials for the Riccati differential equation and Volterra population model. (English) Zbl 1446.65210 Appl. Math. Modelling 40, No. 2, 993-1011 (2016). MSC: 65R20 45J05 65L60 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Noori Skandari, M. H.; Kamyad, A. V.; Effati, S. Smoothing approach for a class of nonsmooth optimal control problems. (English) Zbl 1446.49017 Appl. Math. Modelling 40, No. 2, 886-903 (2016). MSC: 49K15 49J52 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Zong, Xiaofeng; Wu, Fuke Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations. (English) Zbl 1443.34089 Appl. Math. Modelling 40, No. 1, 19-30 (2016). MSC: 34K50 34K20 34K40 60H35 × Cite Format Result Cite Review PDF Full Text: DOI
Öztürk, Yalçın; Gülsu, Mustafa Numerical solution of a modified epidemiological model for computer viruses. (English) Zbl 1443.92025 Appl. Math. Modelling 39, No. 23-24, 7600-7610 (2015). MSC: 92-10 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghan, Mehdi; Shahini, Mehdi Rational pseudospectral approximation to the solution of a nonlinear integro-differential equation arising in modeling of the population growth. (English) Zbl 1443.92005 Appl. Math. Modelling 39, No. 18, 5521-5530 (2015). MSC: 92-08 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, A. K.; Saha Ray, S. Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method. (English) Zbl 1443.65244 Appl. Math. Modelling 39, No. 17, 5121-5130 (2015). MSC: 65M70 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jue; Lo, S. H.; Zhou, Ding; Xu, Bo-Qing Frequency-dependent impedance of a strip foundation group and its representation in time domain. (English) Zbl 1443.74237 Appl. Math. Modelling 39, No. 10-11, 2861-2881 (2015). MSC: 74L10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Sahmani, S.; Bahrami, M.; Aghdam, M. M.; Ansari, R. Postbuckling behavior of circular higher-order shear deformable nanoplates including surface energy effects. (English) Zbl 1443.74226 Appl. Math. Modelling 39, No. 13, 3678-3689 (2015). MSC: 74K20 74G60 × Cite Format Result Cite Review PDF Full Text: DOI
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M. A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type. (English) Zbl 1427.65287 Appl. Math. Modelling 38, No. 5-6, 1597-1606 (2014). MSC: 65M70 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Maleki, Mohammad; Tonekaboni, Seyed Ali Madani; Abbasbandy, Saeid A homotopy analysis solution to large deformation of beams under static arbitrary distributed load. (English) Zbl 1427.74180 Appl. Math. Modelling 38, No. 1, 355-368 (2014). MSC: 74S99 74K10 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Khader, M. M.; Sweilam, N. H. On the approximate solutions for system of fractional integro-differential equations using Chebyshev pseudo-spectral method. (English) Zbl 1427.65419 Appl. Math. Modelling 37, No. 24, 9819-9828 (2013). MSC: 65R20 34K37 45J05 65M70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Atabakzadeh, M. H.; Akrami, M. H.; Erjaee, G. H. Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations. (English) Zbl 1449.34010 Appl. Math. Modelling 37, No. 20-21, 8903-8911 (2013). MSC: 34A08 34A30 34A25 65L05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Sanyasiraju, Y. V. S. S.; Satyanarayana, Chirala On optimization of the RBF shape parameter in a grid-free local scheme for convection dominated problems over non-uniform centers. (English) Zbl 1427.65300 Appl. Math. Modelling 37, No. 12-13, 7245-7272 (2013). MSC: 65M70 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Saleh Taher, A. H.; Malek, A.; Momeni-Masuleh, S. H. Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems. (English) Zbl 1426.65109 Appl. Math. Modelling 37, No. 7, 4634-4642 (2013). MSC: 65L15 65L60 34B24 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Shao, Wenting; Wu, Xionghua Chebyshev tau meshless method based on the highest derivative for fourth order equations. (English) Zbl 1351.74164 Appl. Math. Modelling 37, No. 3, 1413-1430 (2013). MSC: 74S25 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Nasab, A. Kazemi; Kılıçman, A.; Babolian, E.; Atabakan, Z. Pashazadeh Wavelet analysis method for solving linear and nonlinear singular boundary value problems. (English) Zbl 1274.65224 Appl. Math. Modelling 37, No. 8, 5876-5886 (2013). MSC: 65L60 65T60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Jinglai; Zhang, Yunqing; Chen, Liping; Luo, Zhen A Chebyshev interval method for nonlinear dynamic systems under uncertainty. (English) Zbl 1269.93031 Appl. Math. Modelling 37, No. 6, 4578-4591 (2013). MSC: 93B40 65G40 93C10 93C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bhrawy, A. H.; Tharwat, M. M.; Yildirim, A. A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations. (English) Zbl 1278.65096 Appl. Math. Modelling 37, No. 6, 4245-4252 (2013). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L05 65L03 34A08 34A30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Khader, M. M.; El Danaf, Talaat S.; Hendy, A. S. A computational matrix method for solving systems of high order fractional differential equations. (English) Zbl 1302.65176 Appl. Math. Modelling 37, No. 6, 4035-4050 (2013). MSC: 65L60 34A08 34A34 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Laeli Dastjerdi, H.; Maalek Ghaini, F. M. Numerical solution of Volterra-Fredholm integral equations by moving least square method and Chebyshev polynomials. (English) Zbl 1252.65212 Appl. Math. Modelling 36, No. 7, 3283-3288 (2012). MSC: 65R20 45B05 45D05 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghan, Mehdi; Taleei, Ameneh Numerical solution of the Yukawa-coupled Klein-Gordon-Schrödinger equations via a Chebyshev pseudospectral multidomain method. (English) Zbl 1246.65185 Appl. Math. Modelling 36, No. 6, 2340-2349 (2012). MSC: 65M70 81Q05 81-08 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Ezz-Eldien, S. S. Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations. (English) Zbl 1228.65126 Appl. Math. Modelling 35, No. 12, 5662-5672 (2011). MSC: 65L60 34A08 26A33 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Ghasemi, M.; Kajani, M. Tavassoli Numerical solution of time-varying delay systems by Chebyshev wavelets. (English) Zbl 1228.65105 Appl. Math. Modelling 35, No. 11, 5235-5244 (2011). MSC: 65L03 34K07 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Guedda, M.; Aly, Emad H.; Ouahsine, A. Analytical and chpdm analysis of MHD mixed convection over a vertical flat plate embedded in a porous medium filled with water at 4\(^{\circ}\)C. (English) Zbl 1228.76190 Appl. Math. Modelling 35, No. 10, 5182-5197 (2011); corrigendum ibid. 40, No. 13-14, 6785-6786 (2016). MSC: 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Hajipour, Mojtaba; Hosseini, S. Mohammad The performance of a Tau preconditioner on systems of ODEs. (English) Zbl 1202.65105 Appl. Math. Modelling 35, No. 1, 80-92 (2011). MSC: 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Linxiang; Willatzen, M. Modelling of nonlinear dynamics for reciprocal multi-layer piezoceramic transducer systems. (English) Zbl 1185.82078 Appl. Math. Modelling 33, No. 5, 2263-2273 (2009). MSC: 82D99 37N99 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Weibin; Wu, Xionghua The Laplace transform and polynomial Trefftz method for a class of time dependent PDEs. (English) Zbl 1185.44002 Appl. Math. Modelling 33, No. 5, 2226-2233 (2009). MSC: 44A10 × Cite Format Result Cite Review PDF Full Text: DOI
Mai-Duy, N.; See, H.; Tran-Cong, T. A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains. (English) Zbl 1167.65454 Appl. Math. Modelling 33, No. 1, 284-299 (2009). MSC: 65N35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mai-Duy, N.; Tran-Cong, T. A second-order continuity domain decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems. (English) Zbl 1167.65458 Appl. Math. Modelling 32, No. 12, 2851-2862 (2008). MSC: 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhan, J. M.; Luo, Y. Y.; Li, Y. S. A high accuracy hybrid method for two-dimensional Navier-Stokes equations. (English) Zbl 1187.76722 Appl. Math. Modelling 32, No. 5, 873-888 (2008). MSC: 76M25 76D05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, L. X.; Melnik, Roderick V. N. Numerical model for vibration damping resulting from the first-order phase transformations. (English) Zbl 1167.74448 Appl. Math. Modelling 31, No. 9, 2008-2018 (2007). MSC: 74H45 74K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashemi, Mohammad R.; Abedini, Mohammad J.; Malekzadeh, Parviz A differential quadrature analysis of unsteady open channel flow. (English) Zbl 1173.76384 Appl. Math. Modelling 31, No. 8, 1594-1608 (2007). MSC: 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Hosseini, S. Mohammad; Shahmorad, S. Numerical piecewise approximate solution of Fredholm integro-differential equations by the tau method. (English) Zbl 1099.65136 Appl. Math. Modelling 29, No. 11, 1005-1021 (2005). MSC: 65R20 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Hosseini, S. M.; Shahmorad, S. Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases. (English) Zbl 1047.65114 Appl. Math. Modelling 27, No. 2, 145-154 (2003). MSC: 65R20 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Adair, D.; Tucker, P. G. Efficient modelling of rotating disks and cylinders using a Cartesian grid. (English) Zbl 0940.76095 Appl. Math. Modelling 21, No. 12, 749-762 (1997). Reviewer: Valeriu Al.Sava (Iaşi) MSC: 76U05 76D10 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Elnagar, Gamal N.; Razzaghi, Mohsen A Chebyshev spectral method for the solution of nonlinear optimal control problems. (English) Zbl 0886.65066 Appl. Math. Modelling 21, No. 5, 255-260 (1997). Reviewer: V.Kamen (San Bruno) MSC: 65K10 49J15 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Kukreti, Anant R.; Ko, Man-Gi Analysis of rectangular plate resting on an elastic half space using an energy approach. (English) Zbl 0768.73036 Appl. Math. Modelling 16, No. 7, 338-356 (1992). MSC: 74K20 74A55 74M15 × Cite Format Result Cite Review PDF Full Text: DOI
McCartney, L. N. A new boundary element technique for solving plane problems of linear elasticity: Improved theory and an application to fracture mechanics. (English) Zbl 0546.73013 Appl. Math. Modelling 8, 243-250 (1984). MSC: 74B99 74S30 74S99 74G70 74R05 × Cite Format Result Cite Review PDF Full Text: DOI
Davies, A. M. Application of the Galerkin method to the formulation of a three- dimensional nonlinear hydrodynamic numerical sea model. (English) Zbl 0443.76015 Appl. Math. Modelling 4, 245-256 (1980). MSC: 76B15 65N30 86A05 76D99 × Cite Format Result Cite Review PDF Full Text: DOI
Davies, A. M.; Owen, A. Three dimensional numerical sea model using the Galerkin method with a polynomial basis set. (English) Zbl 0437.76014 Appl. Math. Modelling 3, 421-428 (1979). MSC: 76B15 86A05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI