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ORCIDComputers & Mathematics with Applications, Volume 73
Volume 73, Number 1, January 2017
- Itrat Abbas Mirza, Dumitru Vieru:
Fundamental solutions to advection-diffusion equation with time-fractional Caputo-Fabrizio derivative. 1-10 - José Augusto Ferreira, Paula de Oliveira
, Pascoal M. da Silva, R. Silva:
Mathematics of aging: Diseases of the posterior segment of the eye. 11-26 - Bitao Cheng, Xianhua Tang:
High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential. 27-36 - Mario Kapl, Vito Vitrih:
Space of C2-smooth geometrically continuous isogeometric functions on two-patch geometries. 37-59 - Thir Dangal, C. S. Chen, Ji Lin:
Polynomial particular solutions for solving elliptic partial differential equations. 60-70 - Hong Fang, Chunye Gong, Caihui Yu, Changwan Min, Xing Zhang, Jie Liu, Liquan Xiao:
Efficient mesh deformation based on Cartesian background mesh. 71-86 - Xiaoyong Xiao, Hongwei Yin:
Efficient parameterized HSS iteration methods for complex symmetric linear systems. 87-95 - Yikan Liu:
Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem. 96-108 - Qiaolin He, Jinyang Huang, Xiaoding Shi, Xiao-Ping Wang, Chao Bi:
Numerical simulation of 2D unsteady shear-thinning non-Newtonian incompressible fluid in screw extruder with fictitious domain method. 109-121 - Kejing He, Xiaoqiang Zhou, Qian Lin:
High accuracy complete elliptic integrals for solving the Hertzian elliptical contact problems. 122-128 - Guangzhi Du, Liyun Zuo:
Local and parallel finite element post-processing scheme for the Stokes problem. 129-140 - Vo Anh Khoa, Mai Thanh Nhat Truong, Nguyen Ho Minh Duy, Nguyen Huy Tuan:
The Cauchy problem of coupled elliptic sine-Gordon equations with noise: Analysis of a general kernel-based regularization and reliable tools of computing. 141-162 - Fredrik Berntsson, Vladimir A. Kozlov, Lydie Mpinganzima, Bengt-Ove Turesson:
Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation. 163-172
Volume 73, Number 2, January 2017
- Constantin Bacuta, Klajdi Qirko:
A saddle point least squares approach for primal mixed formulations of second order PDEs. 173-186 - Steffen Weißer:
Residual based error estimate and quasi-interpolation on polygonal meshes for high order BEM-based FEM. 187-202 - Xiaojun Yang, Feng Gao, H. M. Srivastava:
Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations. 203-210 - Hanchao Wang, Likai Zhou:
Bandwidth selection of nonparametric threshold estimator in jump-diffusion models. 211-219 - J. Y. Yang, Wen-Xiu Ma:
Abundant lump-type solutions of the Jimbo-Miwa equation in (3+1)-dimensions. 220-225 - Peter Hinow, Maya Mincheva:
Linear stability of delayed reaction-diffusion systems. 226-232 - Lian Duan, Lihong Huang, Zhenyuan Guo, Xianwen Fang:
Periodic attractor for reaction-diffusion high-order Hopfield neural networks with time-varying delays. 233-245 - Yong Zhang, Huanhe Dong, Xiaoen Zhang, Hongwei Yang:
Rational solutions and lump solutions to the generalized (3+1)-dimensional Shallow Water-like equation. 246-252 - Subhadarshan Sahoo, Santanu Saha Ray:
Lie symmetry analysis and exact solutions of (3+1) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics. 253-260 - Béla J. Szekeres, Ferenc Izsák:
Finite difference approximation of space-fractional diffusion problems: The matrix transformation method. 261-269 - Xiangli Li, Wen Zhang, Xiaoliang Dong:
A class of modified FR conjugate gradient method and applications to non-negative matrix factorization. 270-276 - Jueyu Wang, Detong Zhu:
Derivative-free restrictively preconditioned conjugate gradient path method without line search technique for solving linear equality constrained optimization. 277-293 - José M. Rodríguez, Raquel Taboada-Vázquez:
A new LES model derived from generalized Navier-Stokes equations with nonlinear viscosity. 294-303 - Ji-Teng Jia, Sumei Li:
On determinants of cyclic pentadiagonal matrices with Toeplitz structure. 304-309 - Shuling Yan, Shangjiang Guo:
Stability analysis of a stage structure model with spatiotemporal delay effect. 310-326 - Xiang Wang, Xiao-Bin Tang, Liang-Zhi Mao:
A modified second-order Arnoldi method for solving the quadratic eigenvalue problems. 327-338 - D. Ataee Tarzanagh, Parvin Nazari, M. Reza Peyghami:
A nonmonotone PRP conjugate gradient method for solving square and under-determined systems of equations. 339-354 - Jiu Liu, Zhongquan Yan, Zhibo Zheng:
A result on a class of elliptic equations involving Kirchhoff type nonlocal term. 355-361
Volume 73, Number 3, February 2017
- Zhenzhen Li, Shaochun Chen, Shuanghong Qu, Minghao Li:
Stabilization of low-order mixed finite elements for the plane elasticity equations. 363-373 - Liqun Wang, Songming Hou, Liwei Shi:
An improved non-traditional finite element formulation for solving three-dimensional elliptic interface problems. 374-384 - Lot-Kei Chou, Siu-Long Lei:
Fast ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy. 385-403 - Fangfang Qin, Jinru Chen, Zhilin Li, Mingchao Cai:
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems. 404-418 - Farid Bozorgnia, Jan Valdman:
A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate. 419-432 - Penghong Zhong, Ganshan Yang:
Finite time blowup of multidimensional inhomogeneous isotropic Landau-Lifshitz equation on a hyperbolic space. 433-449 - Hyung-Jun Choi:
An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem. 450-464 - Yang Pu, Jiu Liu, Chun-Lei Tang:
Existence of weak solutions for a class of fractional Schrödinger equations with periodic potential. 465-482 - Ana Arnal, Juan Monterde:
Explicit Bézier control net of a PDE surface. 483-493 - Béatrice Faverjon, B. Puig, Thouraya Nouri Baranger:
Identification of boundary conditions by solving Cauchy problem in linear elasticity with material uncertainties. 494-504 - Jianhua Chen, Xianhua Tang, Zu Gao:
Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential. 505-519 - Mohammad Amin Safi, Nikolaos Prasianakis, Stefan Turek:
Benchmark computations for 3D two-phase flows: A coupled lattice Boltzmann-level set study. 520-536
Volume 73, Number 4, February 2017
- U. Hou Lok, Yuh-Dauh Lyuu:
The waterline tree for separable local-volatility models. 537-559 - Khadijeh Baghaei:
Lower bounds for the blow-up time in a superlinear hyperbolic equation with linear damping term. 560-564 - Chenglin Li:
Stability and bifurcation of a ratio-dependent prey-predator system with cross-diffusion. 565-575 - Rana D. Parshad, Emmanuel Quansah, Matthew A. Beauregard, Saïd Kouachi:
On "small" data blow-up in a three species food chain model. 576-587 - Huai Zhang, Tong Kang, Ran Wang, Yanfang Wang:
Boundary data identification for an electromagnetic problem by means of the potential field method. 588-600 - Cung The Anh, Pham Thi Trang:
On the regularity and convergence of solutions to the 3D Navier-Stokes-Voigt equations. 601-615 - Huai-An Diao:
On condition numbers for least squares with quadric inequality constraint. 616-627 - Zhi Xia, Kui Du:
A tensor product finite element method for the diffraction grating problem with transparent boundary conditions. 628-639 - Jinhu Xu, Yan Geng, Jiangyong Hou:
Global dynamics of a diffusive and delayed viral infection model with cellular infection and nonlinear infection rate. 640-652 - Kexue Li:
A characteristic of local existence for nonlinear fractional heat equations in Lebesgue spaces. 653-665 - Béatrice Rivière, Jun Tan, Travis Thompson:
Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations. 666-683 - Axel Modave, Jonathan Lambrechts, Christophe Geuzaine:
Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations. 684-700 - Mukesh Kumar, Raj Kumar:
Soliton solutions of KD system using similarity transformations method. 701-712 - Li Shan, Yuhong Zhang:
Error estimates of the partitioned time stepping method for the evolutionary Stokes-Darcy flows. 713-726
Volume 73, Number 5, March 2017
- Krzysztof Bartosz, David Danan, Pawel Szafraniec:
Numerical analysis of a dynamic bilateral thermoviscoelastic contact problem with nonmonotone friction law. 727-746 - Jing-Jing Hu, Chang-Feng Ma:
Minimum-norm Hamiltonian solutions of a class of generalized Sylvester-conjugate matrix equations. 747-764 - Yingjie Liang, Wen Chen, Belinda Akpa, Thomas Neuberger, Andrew G. Webb, Richard L. Magin:
Using spectral and cumulative spectral entropy to classify anomalous diffusion in Sephadex™ gels. 765-774 - Jesse Chan, Zheng Wang, Russell J. Hewett, Timothy C. Warburton:
Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes. 775-793 - Pengyu Chen, Xuping Zhang, Yongxiang Li:
Study on fractional non-autonomous evolution equations with delay. 794-803 - Ming Sun, Hongxing Rui:
A coupling of weak Galerkin and mixed finite element methods for poroelasticity. 804-823 - Ruizhi Yang, Ming Liu, Chunrui Zhang:
A diffusive toxin producing phytoplankton model with maturation delay and three-dimensional patch. 824-837 - Chih-Ping Wu, Wei-Chen Li:
Free vibration analysis of embedded single-layered nanoplates and graphene sheets by using the multiple time scale method. 838-854 - Vasily E. Tarasov:
Exact discretization of fractional Laplacian. 855-863 - O. P. Porogo, Ben Muatjetjeja, Abdullahi Rashid Adem:
Variational approach and exact solutions for a generalized coupled Zakharov-Kuznetsov system. 864-872
Volume 73, Number 6, March 2017
- Yong Zhou, Michal Feckan, Fawang Liu, J. A. Tenreiro Machado:
Advances in fractional differential equations (IV): Time-fractional PDEs. 873
- Yong Zhou, Li Peng:
On the time-fractional Navier-Stokes equations. 874-891 - Mahmoud S. Alrawashdeh, James F. Kelly, Mark M. Meerschaert, Hans-Peter Scheffler:
Applications of inverse tempered stable subordinators. 892-905 - José M. Carcione, Francesco Mainardi:
On the relation between sources and initial conditions for the wave and diffusion equations. 906-913 - A. Iomin:
Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder. 914-930 - Nguyen Huy Tuan, Mokhtar Kirane, Luu Vu Cam Hoan, Le Dinh Long:
Identification and regularization for unknown source for a time-fractional diffusion equation. 931-950 - Ahmed Alsaedi, Mokhtar Kirane, Rafika Lassoued:
Global existence and asymptotic behavior for a time fractional reaction-diffusion system. 951-958 - Temirkhan S. Aleroev, Hedi T. Aleroeva, Jianfei Huang, Mikhail V. Tamm, Yifa Tang, Yue Zhao:
Boundary value problems of fractional Fokker-Planck equations. 959-969 - Yu. A. Rossikhin, Marina V. Shitikova, I. I. Popov:
Dynamic response of a viscoelastic beam impacted by a viscoelastic sphere. 970-984 - Jia Mu, Bashir Ahmad, Shuibo Huang:
Existence and regularity of solutions to time-fractional diffusion equations. 985-996 - S. M. Hosseini, Zohreh Asgari:
Solution of stochastic nonlinear time fractional PDEs using polynomial chaos expansion combined with an exponential integrator. 997-1007 - Khaled M. Furati, Olaniyi Samuel Iyiola, Kassem Mustapha:
An inverse source problem for a two-parameter anomalous diffusion with local time datum. 1008-1015 - Yong Zhou, Li Peng:
Weak solutions of the time-fractional Navier-Stokes equations and optimal control. 1016-1027 - Trifce Sandev, Zivorad Tomovski, Bojan Crnkovic:
Generalized distributed order diffusion equations with composite time fractional derivative. 1028-1040 - Zhiyuan Li, Yuri Luchko, Masahiro Yamamoto:
Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. 1041-1052 - Christopher N. Angstmann, Bruce Ian Henry, B. A. Jacobs, Anna V. McGann:
Integrablization of time fractional PDEs. 1053-1062 - W. H. Deng, Z. J. Zhang:
Numerical schemes of the time tempered fractional Feynman-Kac equation. 1063-1076 - Moulay Rchid Sidi Ammi, Delfim F. M. Torres:
Galerkin spectral method for the fractional nonlocal thermistor problem. 1077-1086 - Yanmin Zhao, Yadong Zhang, Fawang Liu, Ian W. Turner, Yifa Tang, Vo V. Anh:
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. 1087-1099 - Ali H. Bhrawy, Mahmoud A. Zaky:
Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. 1100-1117 - Santanu Saha Ray, A. K. Gupta:
Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation. 1118-1133 - E. A. Abdel-Rehim, A. M. A. El-Sayed, A. S. Hashem:
Simulation of the approximate solutions of the time-fractional multi-term wave equations. 1134-1154 - Libo Feng, P. Zhuang, Fawang Liu, Ian W. Turner, Vo V. Anh, J. Li:
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. 1155-1171 - S. Chen, X. Y. Jiang:
Parameters estimation for a new anomalous thermal diffusion model in layered media. 1172-1181 - Jinfeng Wang, Tianqi Liu, Hong Li, Yang Liu, Siriguleng He:
Second-order approximation scheme combined with H1-Galerkin MFE method for nonlinear time fractional convection-diffusion equation. 1182-1196 - Tarek Aboelenen, H. M. El-Hawary:
A high-order nodal discontinuous Galerkin method for a linearized fractional Cahn-Hilliard equation. 1197-1217 - Yin Yang, Yanping Chen, Yunqing Huang, Huayi Wei:
Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis. 1218-1232 - Hongfei Fu, Michael K. Ng, Hong Wang:
A divide-and-conquer fast finite difference method for space-time fractional partial differential equation. 1233-1242 - Omar Abu Arqub:
Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions. 1243-1261 - Behrouz Parsa Moghaddam, José António Tenreiro Machado:
A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations. 1262-1269 - Mehdi Dehghan, Mostafa Abbaszadeh:
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. 1270-1285 - Fangying Song, Fanhai Zeng, Wei Cai, Wen Chen, George E. Karniadakis:
Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. 1286-1297 - Yang Liu, Min Zhang, Hong Li, Jichun Li:
High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation. 1298-1314 - Christopher N. Angstmann, Bruce Ian Henry, I. Ortega-Piwonka:
Generalized master equations and fractional Fokker-Planck equations from continuous time random walks with arbitrary initial conditions. 1315-1324 - Yong Zhou, Lu Zhang:
Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems. 1325-1345 - Ryan M. Evans, Udita N. Katugampola, David A. Edwards:
Applications of fractional calculus in solving Abel-type integral equations: Surface-volume reaction problem. 1346-1362 - Emilia G. Bazhlekova, Ivan B. Bazhlekov:
Unidirectional flows of fractional Jeffreys' fluids: Thermodynamic constraints and subordination. 1363-1376 - Huan-Ying Xu, Xiaoyun Jiang:
Creep constitutive models for viscoelastic materials based on fractional derivatives. 1377-1384 - Abiola D. Obembe, M. Enamul Hossain, Kassem Mustapha, Sidqi A. Abu-Khamsin:
A modified memory-based mathematical model describing fluid flow in porous media. 1385-1402
Volume 73, Number 7, April 2017
- Célia A. Z. Barcelos:
LAVIR - Locally adaptive variational image registration. 1403-1413 - Rehab M. El-Shiekh:
Periodic and solitary wave solutions for a generalized variable-coefficient Boiti-Leon-Pempinlli system. 1414-1420 - Alistair Bentley:
Explicit construction of computational bases for RTk and BDMk spaces in R3. 1421-1432 - Stéphane Abide, Belkacem Zeghmati:
Multigrid defect correction and fourth-order compact scheme for Poisson's equation. 1433-1444 - Zhaojuan Wang, Yanan Liu:
Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped sine-Gordon equation on unbounded domains. 1445-1460 - P. X. Yu, Zhen F. Tian, Hongjie Zhang:
A rational high-order compact difference method for the steady-state stream function-vorticity formulation of the Navier-Stokes equations. 1461-1484 - Vitalii V. Akimenko:
An age-structured SIR epidemic model with fixed incubation period of infection. 1485-1504 - Jinkyu Kim:
Extended framework of Hamilton's principle for thermoelastic continua. 1505-1523 - H. Liang, B. C. Shi, Z. H. Chai:
An efficient phase-field-based multiple-relaxation-time lattice Boltzmann model for three-dimensional multiphase flows. 1524-1538 - Rahman Farnoosh, Amirhossein Sobhani, Mohammad Hossein Beheshti:
Efficient and fast numerical method for pricing discrete double barrier option by projection method. 1539-1545 - Zhengguang Liu, Aijie Cheng, Hong Wang:
An hp-Galerkin method with fast solution for linear peridynamic models in one dimension. 1546-1565 - Claire David:
Control of the Black-Scholes equation. 1566-1575 - Mohammad Ghasemi:
Spline-based DQM for multi-dimensional PDEs: Application to biharmonic and Poisson equations in 2D and 3D. 1576-1592 - Rita Riedlbeck, Daniele A. Di Pietro, Alexandre Ern, Sylvie Granet, Kyrylo Kazymyrenko:
Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis. 1593-1610 - Nima Noormohammadi, Bijan Boroomand:
Construction of equilibrated singular basis functions without a priori knowledge of analytical singularity order. 1611-1626 - Yarong Zhang, Yinnian He, Hongbin Chen:
Boundary element method for a free boundary problem modeling three dimensional tumor growth. 1627-1641
Volume 73, Number 8, April 2017
- Zhihui Zhao, Hong Li, Zhendong Luo:
Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations. 1643-1656 - Hyung-Chun Lee, Max D. Gunzburger:
Comparison of approaches for random PDE optimization problems based on different matching functionals. 1657-1672 - Stepán Papácek, Benn Macdonald, Ctirad Matonoha:
Closed-form formulas vs. PDE based numerical solution for the FRAP data processing: Theoretical and practical comparison. 1673-1683 - Konstantinos Chrysafinos, L. Steven Hou:
Semi-discrete error estimates of the evolutionary Stokes equations with inhomogeneous Dirichlet boundary data. 1684-1696