Guidotti, Nicolas L.; Acebrón, Juan A.; Monteiro, José A stochastic method for solving time-fractional differential equations. (English) Zbl 07824632 Comput. Math. Appl. 159, 240-253 (2024). MSC: 65-XX 60-XX PDFBibTeX XMLCite \textit{N. L. Guidotti} et al., Comput. Math. Appl. 159, 240--253 (2024; Zbl 07824632) Full Text: DOI arXiv
Fan, Wenping; Cheng, Hao A novel numerical inverse technique for multi-parameter time fractional radially symmetric anomalous diffusion problem with initial singularity. (English) Zbl 07813456 Comput. Math. Appl. 158, 95-101 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{W. Fan} and \textit{H. Cheng}, Comput. Math. Appl. 158, 95--101 (2024; Zbl 07813456) Full Text: DOI
Zhang, Xuetian; Zhang, Chunrui; Zhang, Yazhuo Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices. (English) Zbl 07813438 Comput. Math. Appl. 157, 92-123 (2024). MSC: 37-XX 92-XX PDFBibTeX XMLCite \textit{X. Zhang} et al., Comput. Math. Appl. 157, 92--123 (2024; Zbl 07813438) Full Text: DOI
Jacobson, Alon; Hu, Xiaozhe Structure-preserving discretization of fractional vector calculus using discrete exterior calculus. (English) Zbl 07784335 Comput. Math. Appl. 153, 186-196 (2024). MSC: 65-XX 35R11 26A33 65N06 65M06 34A08 PDFBibTeX XMLCite \textit{A. Jacobson} and \textit{X. Hu}, Comput. Math. Appl. 153, 186--196 (2024; Zbl 07784335) Full Text: DOI arXiv
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation. (English) Zbl 07772644 Comput. Math. Appl. 150, 211-228 (2023). MSC: 65M06 65M12 35R11 65F10 35Q56 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Math. Appl. 150, 211--228 (2023; Zbl 07772644) Full Text: DOI
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes. (English) Zbl 1524.65697 Comput. Math. Appl. 117, 39-52 (2022). MSC: 65M70 65M06 65M12 65M15 35J25 65N35 92C20 35Q92 PDFBibTeX XMLCite \textit{H. Zhou} et al., Comput. Math. Appl. 117, 39--52 (2022; Zbl 1524.65697) Full Text: DOI
Albarakati, Aishah; Budišić, Marko; Crocker, Rose; Glass-Klaiber, Juniper; Iams, Sarah; Maclean, John; Marshall, Noah; Roberts, Colin; Van Vleck, Erik S. Model and data reduction for data assimilation: particle filters employing projected forecasts and data with application to a shallow water model. (English) Zbl 1524.62464 Comput. Math. Appl. 116, 194-211 (2022). MSC: 62M20 93E11 37N10 65C05 37M99 PDFBibTeX XMLCite \textit{A. Albarakati} et al., Comput. Math. Appl. 116, 194--211 (2022; Zbl 1524.62464) Full Text: DOI arXiv
Sayyar, Golsa; Hosseini, Seyed Mohammad; Mostajeran, Farinaz A high-order scheme for time-space fractional diffusion equations with Caputo-Riesz derivatives. (English) Zbl 1524.65392 Comput. Math. Appl. 104, 34-43 (2021). MSC: 65M06 35R11 65M12 26A33 65N06 PDFBibTeX XMLCite \textit{G. Sayyar} et al., Comput. Math. Appl. 104, 34--43 (2021; Zbl 1524.65392) Full Text: DOI
Yue, Xiaoqiang; Pan, Kejia; Zhou, Jie; Weng, Zhifeng; Shu, Shi; Tang, Juan A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems. (English) Zbl 1524.65497 Comput. Math. Appl. 89, 57-67 (2021). MSC: 65M55 35R11 65M12 65M06 65M70 65M60 26A33 65Y05 65M15 35J05 PDFBibTeX XMLCite \textit{X. Yue} et al., Comput. Math. Appl. 89, 57--67 (2021; Zbl 1524.65497) Full Text: DOI arXiv
Fang, Zhi-Wei; Sun, Hai-Wei; Wang, Hong A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations. (English) Zbl 1447.65022 Comput. Math. Appl. 80, No. 5, 1443-1458 (2020). MSC: 65M06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{Z.-W. Fang} et al., Comput. Math. Appl. 80, No. 5, 1443--1458 (2020; Zbl 1447.65022) Full Text: DOI
Zhang, Qifeng; Lin, Xiaoman; Pan, Kejia; Ren, Yunzhu Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation. (English) Zbl 1447.65042 Comput. Math. Appl. 80, No. 5, 1201-1220 (2020). MSC: 65M06 65M12 65M22 65L06 35R11 26A33 35Q56 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Math. Appl. 80, No. 5, 1201--1220 (2020; Zbl 1447.65042) Full Text: DOI
González, Amaru; Castillo, Ernesto; Cruchaga, Marcela A. Numerical verification of a non-residual orthogonal term-by-term stabilized finite element formulation for incompressible convective flow problems. (English) Zbl 1447.65073 Comput. Math. Appl. 80, No. 5, 1009-1028 (2020). MSC: 65M60 65M06 76D05 76F65 35B32 76M10 76M20 PDFBibTeX XMLCite \textit{A. González} et al., Comput. Math. Appl. 80, No. 5, 1009--1028 (2020; Zbl 1447.65073) Full Text: DOI
Wang, Huimin Numerical simulation for solitary wave of Klein-Gordon-Zakharov equation based on the lattice Boltzmann model. (English) Zbl 1443.76187 Comput. Math. Appl. 78, No. 12, 3941-3955 (2019). MSC: 76M28 35Q53 76P05 35C08 PDFBibTeX XMLCite \textit{H. Wang}, Comput. Math. Appl. 78, No. 12, 3941--3955 (2019; Zbl 1443.76187) Full Text: DOI
Seadawy, Aly R.; Iqbal, Mujahid; Lu, Dianchen Applications of propagation of long-wave with dissipation and dispersion in nonlinear media via solitary wave solutions of generalized Kadomtsev-Petviashvili modified equal width dynamical equation. (English) Zbl 1443.35141 Comput. Math. Appl. 78, No. 11, 3620-3632 (2019). MSC: 35Q53 35C08 65J15 PDFBibTeX XMLCite \textit{A. R. Seadawy} et al., Comput. Math. Appl. 78, No. 11, 3620--3632 (2019; Zbl 1443.35141) Full Text: DOI
Xian, J.; Wei, Ting Determination of the initial data in a time-fractional diffusion-wave problem by a final time data. (English) Zbl 1443.35179 Comput. Math. Appl. 78, No. 8, 2525-2540 (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{J. Xian} and \textit{T. Wei}, Comput. Math. Appl. 78, No. 8, 2525--2540 (2019; Zbl 1443.35179) Full Text: DOI
Akman Yıldız, Tuğba Optimal control problem of the two-dimensional modified anomalous subdiffusion equation with discontinuous Galerkin approximation. (English) Zbl 1442.65108 Comput. Math. Appl. 78, No. 6, 2127-2146 (2019). MSC: 65K10 65M60 PDFBibTeX XMLCite \textit{T. Akman Yıldız}, Comput. Math. Appl. 78, No. 6, 2127--2146 (2019; Zbl 1442.65108) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. (English) Zbl 1442.65288 Comput. Math. Appl. 78, No. 5, 1772-1792 (2019). MSC: 65M70 65M12 65M60 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 78, No. 5, 1772--1792 (2019; Zbl 1442.65288) Full Text: DOI
Sayevand, K.; Machado, J. Tenreiro; Moradi, V. A new non-standard finite difference method for analyzing the fractional Navier-Stokes equations. (English) Zbl 1442.65177 Comput. Math. Appl. 78, No. 5, 1681-1694 (2019). MSC: 65M06 65M12 76D05 35Q30 35R11 PDFBibTeX XMLCite \textit{K. Sayevand} et al., Comput. Math. Appl. 78, No. 5, 1681--1694 (2019; Zbl 1442.65177) Full Text: DOI
Jia, Jinhong; Wang, Hong A fast finite volume method for conservative space-time fractional diffusion equations discretized on space-time locally refined meshes. (English) Zbl 1442.65197 Comput. Math. Appl. 78, No. 5, 1345-1356 (2019). MSC: 65M08 35R11 PDFBibTeX XMLCite \textit{J. Jia} and \textit{H. Wang}, Comput. Math. Appl. 78, No. 5, 1345--1356 (2019; Zbl 1442.65197) Full Text: DOI
Liu, Jian-Guo; Zhu, Wen-Hui Breather wave solutions for the generalized shallow water wave equation with variable coefficients in the atmosphere, rivers, lakes and oceans. (English) Zbl 1442.35388 Comput. Math. Appl. 78, No. 3, 848-856 (2019). MSC: 35Q53 76D99 PDFBibTeX XMLCite \textit{J.-G. Liu} and \textit{W.-H. Zhu}, Comput. Math. Appl. 78, No. 3, 848--856 (2019; Zbl 1442.35388) Full Text: DOI
Han, Yaozong; Xiong, Xiangtuan; Xue, Xuemin A fractional Landweber method for solving backward time-fractional diffusion problem. (English) Zbl 1442.65224 Comput. Math. Appl. 78, No. 1, 81-91 (2019). MSC: 65M30 65M12 35R11 PDFBibTeX XMLCite \textit{Y. Han} et al., Comput. Math. Appl. 78, No. 1, 81--91 (2019; Zbl 1442.65224) Full Text: DOI
Liu, Yaqing; Wen, Xiao-Yong; Wang, Deng-Shan Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation. (English) Zbl 1442.35391 Comput. Math. Appl. 78, No. 1, 1-19 (2019). MSC: 35Q53 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 78, No. 1, 1--19 (2019; Zbl 1442.35391) Full Text: DOI
Kumar, Sachin; Kumar, Dharmendra Solitary wave solutions of \((3+1)\)-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach. (English) Zbl 1442.35382 Comput. Math. Appl. 77, No. 8, 2096-2113 (2019). MSC: 35Q53 35A30 35C08 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{D. Kumar}, Comput. Math. Appl. 77, No. 8, 2096--2113 (2019; Zbl 1442.35382) Full Text: DOI
Liu, Yaqing; Wen, Xiao-Yong; Wang, Deng-Shan The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation. (English) Zbl 1442.35390 Comput. Math. Appl. 77, No. 4, 947-966 (2019). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 77, No. 4, 947--966 (2019; Zbl 1442.35390) Full Text: DOI
Peng, Wei-Qi; Tian, Shou-Fu; Zhang, Tian-Tian Breather waves and rational solutions in the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 1442.35399 Comput. Math. Appl. 77, No. 3, 715-723 (2019). MSC: 35Q53 PDFBibTeX XMLCite \textit{W.-Q. Peng} et al., Comput. Math. Appl. 77, No. 3, 715--723 (2019; Zbl 1442.35399) Full Text: DOI
Yuan, Yu-Qiang; Tian, Bo; Liu, Lei; Chai, Han-Peng; Sun, Yan Semi-rational solutions for the (3+1)-dimensional Kadomtsev-Petviashvili equation in a plasma or fluid. (English) Zbl 1442.35404 Comput. Math. Appl. 76, No. 11-12, 2566-2574 (2018). MSC: 35Q53 76X05 82D10 PDFBibTeX XMLCite \textit{Y.-Q. Yuan} et al., Comput. Math. Appl. 76, No. 11--12, 2566--2574 (2018; Zbl 1442.35404) Full Text: DOI
Yang, Wenbin Effect of cross-diffusion on the stationary problem of a predator-prey system with a protection zone. (English) Zbl 1442.92144 Comput. Math. Appl. 76, No. 9, 2262-2271 (2018). MSC: 92D25 35K51 PDFBibTeX XMLCite \textit{W. Yang}, Comput. Math. Appl. 76, No. 9, 2262--2271 (2018; Zbl 1442.92144) Full Text: DOI
Liu, Lin; Zheng, Liancun; Chen, Yanping; Liu, Fawang Anomalous diffusion in comb model with fractional dual-phase-lag constitutive relation. (English) Zbl 1419.82030 Comput. Math. Appl. 76, No. 2, 245-256 (2018). MSC: 82C05 80A05 35R11 42B10 44A10 60J60 PDFBibTeX XMLCite \textit{L. Liu} et al., Comput. Math. Appl. 76, No. 2, 245--256 (2018; Zbl 1419.82030) Full Text: DOI Link
Zhang, Tonghua; Liu, Xia; Meng, Xinzhu; Zhang, Tongqian Spatio-temporal dynamics near the steady state of a planktonic system. (English) Zbl 1417.92222 Comput. Math. Appl. 75, No. 12, 4490-4504 (2018). MSC: 92D40 92D25 35B32 35B35 35Q92 PDFBibTeX XMLCite \textit{T. Zhang} et al., Comput. Math. Appl. 75, No. 12, 4490--4504 (2018; Zbl 1417.92222) Full Text: DOI
Wang, Xin; Wang, Lei Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients. (English) Zbl 1420.35330 Comput. Math. Appl. 75, No. 12, 4201-4213 (2018). MSC: 35Q53 35A30 35C08 35B40 37K10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{L. Wang}, Comput. Math. Appl. 75, No. 12, 4201--4213 (2018; Zbl 1420.35330) Full Text: DOI
Wei, Ting; Zhang, Yun The backward problem for a time-fractional diffusion-wave equation in a bounded domain. (English) Zbl 1417.35224 Comput. Math. Appl. 75, No. 10, 3632-3648 (2018). MSC: 35R11 35R25 PDFBibTeX XMLCite \textit{T. Wei} and \textit{Y. Zhang}, Comput. Math. Appl. 75, No. 10, 3632--3648 (2018; Zbl 1417.35224) Full Text: DOI
Qian, Chao; Rao, Jiguang; Mihalache, Dumitru; He, Jingsong Rational and semi-rational solutions of the \(y\)-nonlocal Davey-Stewartson I equation. (English) Zbl 1409.81044 Comput. Math. Appl. 75, No. 9, 3317-3330 (2018). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{C. Qian} et al., Comput. Math. Appl. 75, No. 9, 3317--3330 (2018; Zbl 1409.81044) Full Text: DOI
Wang, Nan; Huang, Chengming An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations. (English) Zbl 1409.65057 Comput. Math. Appl. 75, No. 7, 2223-2242 (2018). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{N. Wang} and \textit{C. Huang}, Comput. Math. Appl. 75, No. 7, 2223--2242 (2018; Zbl 1409.65057) Full Text: DOI
Gunzburger, Max; Jiang, Nan; Xu, Feifei Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion. (English) Zbl 1409.76061 Comput. Math. Appl. 75, No. 6, 1973-2001 (2018). MSC: 76M10 65M60 76D05 35R11 35Q35 76F65 PDFBibTeX XMLCite \textit{M. Gunzburger} et al., Comput. Math. Appl. 75, No. 6, 1973--2001 (2018; Zbl 1409.76061) Full Text: DOI arXiv
El-Shiekh, Rehab M. Jacobi elliptic wave solutions for two variable coefficients cylindrical Korteweg-de Vries models arising in dusty plasmas by using direct reduction method. (English) Zbl 1409.35181 Comput. Math. Appl. 75, No. 5, 1676-1684 (2018). MSC: 35Q53 35C08 82D10 PDFBibTeX XMLCite \textit{R. M. El-Shiekh}, Comput. Math. Appl. 75, No. 5, 1676--1684 (2018; Zbl 1409.35181) Full Text: DOI
Evans, Ryan M.; Katugampola, Udita N.; Edwards, David A. Applications of fractional calculus in solving Abel-type integral equations: surface-volume reaction problem. (English) Zbl 1409.65114 Comput. Math. Appl. 73, No. 6, 1346-1362 (2017). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{R. M. Evans} et al., Comput. Math. Appl. 73, No. 6, 1346--1362 (2017; Zbl 1409.65114) Full Text: DOI arXiv
Alrawashdeh, Mahmoud S.; Kelly, James F.; Meerschaert, Mark M.; Scheffler, Hans-Peter Applications of inverse tempered stable subordinators. (English) Zbl 1409.60058 Comput. Math. Appl. 73, No. 6, 892-905 (2017). MSC: 60G22 60G55 35R11 PDFBibTeX XMLCite \textit{M. S. Alrawashdeh} et al., Comput. Math. Appl. 73, No. 6, 892--905 (2017; Zbl 1409.60058) Full Text: DOI
Gao, Yali; Mei, Liquan; Li, Rui Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations. (English) Zbl 1397.65186 Comput. Math. Appl. 74, No. 10, 2466-2484 (2017). MSC: 65M60 35L53 35L72 35Q82 65M06 PDFBibTeX XMLCite \textit{Y. Gao} et al., Comput. Math. Appl. 74, No. 10, 2466--2484 (2017; Zbl 1397.65186) Full Text: DOI
Adem, Abdullahi Rashid Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method. (English) Zbl 1394.35070 Comput. Math. Appl. 74, No. 8, 1897-1902 (2017). MSC: 35C05 35C08 35Q53 68W30 PDFBibTeX XMLCite \textit{A. R. Adem}, Comput. Math. Appl. 74, No. 8, 1897--1902 (2017; Zbl 1394.35070) Full Text: DOI
Motsepa, Tanki; Khalique, Chaudry Masood Conservation laws and solutions of a generalized coupled (2+1)-dimensional Burgers system. (English) Zbl 1394.35430 Comput. Math. Appl. 74, No. 6, 1333-1339 (2017). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{T. Motsepa} and \textit{C. M. Khalique}, Comput. Math. Appl. 74, No. 6, 1333--1339 (2017; Zbl 1394.35430) Full Text: DOI
Tang, Xiao-Yan; Hao, Xia-Zhi; Liang, Zu-feng Interacting waves of Davey-Stewartson III system. (English) Zbl 1394.35484 Comput. Math. Appl. 74, No. 6, 1311-1320 (2017). MSC: 35Q55 PDFBibTeX XMLCite \textit{X.-Y. Tang} et al., Comput. Math. Appl. 74, No. 6, 1311--1320 (2017; Zbl 1394.35484) Full Text: DOI
Li, J.; Liu, F.; Feng, L.; Turner, I. A novel finite volume method for the Riesz space distributed-order diffusion equation. (English) Zbl 1384.65059 Comput. Math. Appl. 74, No. 4, 772-783 (2017). MSC: 65M08 35K05 65M12 35R11 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Math. Appl. 74, No. 4, 772--783 (2017; Zbl 1384.65059) Full Text: DOI
Coudière, Yves; Turpault, Rodolphe Very high order finite volume methods for cardiac electrophysiology. (English) Zbl 1382.92105 Comput. Math. Appl. 74, No. 4, 684-700 (2017). MSC: 92C30 65M08 PDFBibTeX XMLCite \textit{Y. Coudière} and \textit{R. Turpault}, Comput. Math. Appl. 74, No. 4, 684--700 (2017; Zbl 1382.92105) Full Text: DOI
Boyadjiev, Lyubomir; Luchko, Yuri Multi-dimensional \(\alpha\)-fractional diffusion-wave equation and some properties of its fundamental solution. (English) Zbl 1386.35427 Comput. Math. Appl. 73, No. 12, 2561-2572 (2017). MSC: 35R11 35A08 PDFBibTeX XMLCite \textit{L. Boyadjiev} and \textit{Y. Luchko}, Comput. Math. Appl. 73, No. 12, 2561--2572 (2017; Zbl 1386.35427) Full Text: DOI
Castaño, D.; Navarro, M. C.; Herrero, H. Double vortices and single-eyed vortices in a rotating cylinder under thermal gradients. (English) Zbl 1370.76023 Comput. Math. Appl. 73, No. 10, 2238-2257 (2017). MSC: 76B47 76U05 76M22 PDFBibTeX XMLCite \textit{D. Castaño} et al., Comput. Math. Appl. 73, No. 10, 2238--2257 (2017; Zbl 1370.76023) Full Text: DOI
El-Shiekh, Rehab M. Periodic and solitary wave solutions for a generalized variable-coefficient Boiti-Leon-Pempinlli system. (English) Zbl 1375.35072 Comput. Math. Appl. 73, No. 7, 1414-1420 (2017). MSC: 35C08 35Q53 76B15 35A24 PDFBibTeX XMLCite \textit{R. M. El-Shiekh}, Comput. Math. Appl. 73, No. 7, 1414--1420 (2017; Zbl 1375.35072) Full Text: DOI
Duan, Lian; Huang, Lihong; Guo, Zhenyuan; Fang, Xianwen Periodic attractor for reaction-diffusion high-order Hopfield neural networks with time-varying delays. (English) Zbl 1386.35159 Comput. Math. Appl. 73, No. 2, 233-245 (2017). MSC: 35K51 35B41 35R10 92B20 PDFBibTeX XMLCite \textit{L. Duan} et al., Comput. Math. Appl. 73, No. 2, 233--245 (2017; Zbl 1386.35159) Full Text: DOI
Yang, Xiao-Jun; Gao, Feng; Srivastava, H. M. Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations. (English) Zbl 1386.35460 Comput. Math. Appl. 73, No. 2, 203-210 (2017). MSC: 35R11 35C07 35Q53 PDFBibTeX XMLCite \textit{X.-J. Yang} et al., Comput. Math. Appl. 73, No. 2, 203--210 (2017; Zbl 1386.35460) Full Text: DOI
Adem, Abdullahi Rashid The generalized \((1+1)\)-dimensional and \((2+1)\)-dimensional Ito equations: multiple exp-function algorithm and multiple wave solutions. (English) Zbl 1443.35120 Comput. Math. Appl. 71, No. 6, 1248-1258 (2016). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{A. R. Adem}, Comput. Math. Appl. 71, No. 6, 1248--1258 (2016; Zbl 1443.35120) Full Text: DOI
Ünsal, Ömer; Ma, Wen-Xiu Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations. (English) Zbl 1443.35025 Comput. Math. Appl. 71, No. 6, 1242-1247 (2016). MSC: 35G05 35C05 35C08 PDFBibTeX XMLCite \textit{Ö. Ünsal} and \textit{W.-X. Ma}, Comput. Math. Appl. 71, No. 6, 1242--1247 (2016; Zbl 1443.35025) Full Text: DOI
Fan, Wenping; Jiang, Xiaoyun; Chen, Shanzhen Parameter estimation for the fractional fractal diffusion model based on its numerical solution. (English) Zbl 1443.65175 Comput. Math. Appl. 71, No. 2, 642-651 (2016). MSC: 65M32 65M06 76R50 35R11 PDFBibTeX XMLCite \textit{W. Fan} et al., Comput. Math. Appl. 71, No. 2, 642--651 (2016; Zbl 1443.65175) Full Text: DOI
Han, Yazhou; Li, Zhongfang; Zhang, Shutao; Ma, Manjun Wavefront invasion for a volume-filling chemotaxis model with logistic growth. (English) Zbl 1443.92059 Comput. Math. Appl. 71, No. 2, 471-478 (2016). MSC: 92C17 PDFBibTeX XMLCite \textit{Y. Han} et al., Comput. Math. Appl. 71, No. 2, 471--478 (2016; Zbl 1443.92059) Full Text: DOI
Yu, Jianping; Sun, Yongli Modified method of simplest equation and its applications to the Bogoyavlenskii equation. (English) Zbl 1362.35074 Comput. Math. Appl. 72, No. 7, 1943-1955 (2016). MSC: 35C07 35C05 35G20 PDFBibTeX XMLCite \textit{J. Yu} and \textit{Y. Sun}, Comput. Math. Appl. 72, No. 7, 1943--1955 (2016; Zbl 1362.35074) Full Text: DOI
Ma, Manjun; Gao, Meiyan; Tong, Changqing; Han, Yazhou Chemotaxis-driven pattern formation for a reaction-diffusion-chemotaxis model with volume-filling effect. (English) Zbl 1366.92030 Comput. Math. Appl. 72, No. 5, 1320-1340 (2016). MSC: 92C17 35K57 PDFBibTeX XMLCite \textit{M. Ma} et al., Comput. Math. Appl. 72, No. 5, 1320--1340 (2016; Zbl 1366.92030) Full Text: DOI
Zheng, Qianqian; Shen, Jianwei Pattern formation in the FitzHugh-Nagumo model. (English) Zbl 1443.92071 Comput. Math. Appl. 70, No. 5, 1082-1097 (2015). MSC: 92C20 92C50 35B32 PDFBibTeX XMLCite \textit{Q. Zheng} and \textit{J. Shen}, Comput. Math. Appl. 70, No. 5, 1082--1097 (2015; Zbl 1443.92071) Full Text: DOI
Gao, Guang-hua; Sun, Zhi-zhong Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. (English) Zbl 1443.65124 Comput. Math. Appl. 69, No. 9, 926-948 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{G.-h. Gao} and \textit{Z.-z. Sun}, Comput. Math. Appl. 69, No. 9, 926--948 (2015; Zbl 1443.65124) Full Text: DOI
Ibrahim, Moustafa; Saad, Mazen On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model. (English) Zbl 1362.65092 Comput. Math. Appl. 68, No. 9, 1032-1051 (2014). MSC: 65M08 92C17 35K57 PDFBibTeX XMLCite \textit{M. Ibrahim} and \textit{M. Saad}, Comput. Math. Appl. 68, No. 9, 1032--1051 (2014; Zbl 1362.65092) Full Text: DOI
Braverman, E.; Rodkina, A. Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean. (English) Zbl 1350.65140 Comput. Math. Appl. 66, No. 11, 2281-2294 (2013). MSC: 65Q10 39A50 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, Comput. Math. Appl. 66, No. 11, 2281--2294 (2013; Zbl 1350.65140) Full Text: DOI
Tian, Canrong; Zhang, Lai Hopf bifurcation analysis in a diffusive food-chain model with time delay. (English) Zbl 1348.35028 Comput. Math. Appl. 66, No. 10, 2139-2153 (2013). MSC: 35B32 35B36 35K57 35B10 37L10 PDFBibTeX XMLCite \textit{C. Tian} and \textit{L. Zhang}, Comput. Math. Appl. 66, No. 10, 2139--2153 (2013; Zbl 1348.35028) Full Text: DOI
Zhou, Jun Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law. (English) Zbl 1345.92170 Comput. Math. Appl. 66, No. 10, 2003-2018 (2013). MSC: 92E10 35Q92 35B35 PDFBibTeX XMLCite \textit{J. Zhou}, Comput. Math. Appl. 66, No. 10, 2003--2018 (2013; Zbl 1345.92170) Full Text: DOI
Abbaszadeh, Mostafa; Mohebbi, Akbar A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. (English) Zbl 1350.65083 Comput. Math. Appl. 66, No. 8, 1345-1359 (2013). MSC: 65M06 65M12 35K55 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{A. Mohebbi}, Comput. Math. Appl. 66, No. 8, 1345--1359 (2013; Zbl 1350.65083) Full Text: DOI
Hankins, Michael J.; Nagy, Timea; Kiss, István Z. Methodology for a nullcline-based model from direct experiments: applications to electrochemical reaction models. (English) Zbl 1341.93007 Comput. Math. Appl. 65, No. 10, 1633-1644 (2013). MSC: 93A30 93C40 93C15 37N99 78A57 34C15 PDFBibTeX XMLCite \textit{M. J. Hankins} et al., Comput. Math. Appl. 65, No. 10, 1633--1644 (2013; Zbl 1341.93007) Full Text: DOI
Chumley, T.; Cook, S.; Feres, R. From billiards to thermodynamics. (English) Zbl 1364.80002 Comput. Math. Appl. 65, No. 10, 1596-1613 (2013). Reviewer: Dimitra Antonopoulou (Cheshire) MSC: 80A05 60J20 60J22 PDFBibTeX XMLCite \textit{T. Chumley} et al., Comput. Math. Appl. 65, No. 10, 1596--1613 (2013; Zbl 1364.80002) Full Text: DOI arXiv
Barajas-Ramírez, J. G. Robust synchronization of a class of uncertain complex networks via discontinuous control. (English) Zbl 1356.93078 Comput. Math. Appl. 64, No. 5, 956-964 (2012). MSC: 93D15 34H05 34H10 93D09 PDFBibTeX XMLCite \textit{J. G. Barajas-Ramírez}, Comput. Math. Appl. 64, No. 5, 956--964 (2012; Zbl 1356.93078) Full Text: DOI
Wang, Liyan; Liu, Jijun Data regularization for a backward time-fractional diffusion problem. (English) Zbl 1268.65128 Comput. Math. Appl. 64, No. 11, 3613-3626 (2012). MSC: 65M30 35R11 45K05 65M20 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J. Liu}, Comput. Math. Appl. 64, No. 11, 3613--3626 (2012; Zbl 1268.65128) Full Text: DOI
Povstenko, Yuriy Theories of thermal stresses based on space-time-fractional telegraph equations. (English) Zbl 1268.74018 Comput. Math. Appl. 64, No. 10, 3321-3328 (2012). MSC: 74F05 35R11 35Q79 74D05 35Q74 80A17 PDFBibTeX XMLCite \textit{Y. Povstenko}, Comput. Math. Appl. 64, No. 10, 3321--3328 (2012; Zbl 1268.74018) Full Text: DOI
Braverman, E.; Rodkina, A. On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise. (English) Zbl 1268.39020 Comput. Math. Appl. 64, No. 7, 2224-2232 (2012). MSC: 39A50 60H99 39A30 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{A. Rodkina}, Comput. Math. Appl. 64, No. 7, 2224--2232 (2012; Zbl 1268.39020) Full Text: DOI
Braverman, Elena; Liz, Eduardo On stabilization of equilibria using predictive control with and without pulses. (English) Zbl 1268.93119 Comput. Math. Appl. 64, No. 7, 2192-2201 (2012). MSC: 93D15 93C55 39A23 39A30 PDFBibTeX XMLCite \textit{E. Braverman} and \textit{E. Liz}, Comput. Math. Appl. 64, No. 7, 2192--2201 (2012; Zbl 1268.93119) Full Text: DOI
Karasözen, Bülent; Nemtsev, Andrew D.; Tsybulin, Vyacheslav G. Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium. (English) Zbl 1268.76041 Comput. Math. Appl. 64, No. 6, 1740-1751 (2012). MSC: 76M20 76S05 65M06 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Comput. Math. Appl. 64, No. 6, 1740--1751 (2012; Zbl 1268.76041) Full Text: DOI
Ding, Heng-Fei; Zhang, Yu-Xin New numerical methods for the Riesz space fractional partial differential equations. (English) Zbl 1247.65135 Comput. Math. Appl. 63, No. 7, 1135-1146 (2012). MSC: 65M99 35R11 41A21 45K05 65M12 PDFBibTeX XMLCite \textit{H.-F. Ding} and \textit{Y.-X. Zhang}, Comput. Math. Appl. 63, No. 7, 1135--1146 (2012; Zbl 1247.65135) Full Text: DOI
Abdeljawad, Thabet On Riemann and Caputo fractional differences. (English) Zbl 1228.26008 Comput. Math. Appl. 62, No. 3, 1602-1611 (2011). MSC: 26A33 34A08 PDFBibTeX XMLCite \textit{T. Abdeljawad}, Comput. Math. Appl. 62, No. 3, 1602--1611 (2011; Zbl 1228.26008) Full Text: DOI arXiv
El-Nabulsi, Rami Ahmad The fractional Boltzmann transport equation. (English) Zbl 1228.82075 Comput. Math. Appl. 62, No. 3, 1568-1575 (2011). MSC: 82C70 35R11 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Comput. Math. Appl. 62, No. 3, 1568--1575 (2011; Zbl 1228.82075) Full Text: DOI
Yu, Fajun A generalized fractional KN equation hierarchy and its fractional Hamiltonian structure. (English) Zbl 1228.35192 Comput. Math. Appl. 62, No. 3, 1522-1530 (2011). MSC: 35Q51 37K10 35R11 PDFBibTeX XMLCite \textit{F. Yu}, Comput. Math. Appl. 62, No. 3, 1522--1530 (2011; Zbl 1228.35192) Full Text: DOI
Wu, Guo-Cheng A fractional variational iteration method for solving fractional nonlinear differential equations. (English) Zbl 1219.65085 Comput. Math. Appl. 61, No. 8, 2186-2190 (2011). MSC: 65L99 34A08 34A45 45J05 PDFBibTeX XMLCite \textit{G.-C. Wu}, Comput. Math. Appl. 61, No. 8, 2186--2190 (2011; Zbl 1219.65085) Full Text: DOI arXiv
Zhou, Xuan; Feng, Hui; Chen, Shihua The effect of control strength on the synchronization in pinning control questions. (English) Zbl 1219.93086 Comput. Math. Appl. 61, No. 8, 2014-2018 (2011). MSC: 93C95 34C15 34D06 PDFBibTeX XMLCite \textit{X. Zhou} et al., Comput. Math. Appl. 61, No. 8, 2014--2018 (2011; Zbl 1219.93086) Full Text: DOI
Zheng, Jinling A simple universal adaptive feedback controller for chaos and hyperchaos control. (English) Zbl 1219.93111 Comput. Math. Appl. 61, No. 8, 2000-2004 (2011). MSC: 93D21 93D15 34H10 37D45 37N35 PDFBibTeX XMLCite \textit{J. Zheng}, Comput. Math. Appl. 61, No. 8, 2000--2004 (2011; Zbl 1219.93111) Full Text: DOI
Wu, Xiangjun; Lu, Hongtao Exponential synchronization of weighted general delay coupled and non-delay coupled dynamical networks. (English) Zbl 1205.93124 Comput. Math. Appl. 60, No. 8, 2476-2487 (2010). MSC: 93D15 37N35 93C23 PDFBibTeX XMLCite \textit{X. Wu} and \textit{H. Lu}, Comput. Math. Appl. 60, No. 8, 2476--2487 (2010; Zbl 1205.93124) Full Text: DOI
Wan, Min; Yi, Zhang; Lv, Jian Cheng; Zhou, Jiliu Stability and chaos analysis for an ICA algorithm. (English) Zbl 1202.60062 Comput. Math. Appl. 60, No. 6, 1810-1827 (2010). MSC: 60G35 37N99 62H25 PDFBibTeX XMLCite \textit{M. Wan} et al., Comput. Math. Appl. 60, No. 6, 1810--1827 (2010; Zbl 1202.60062) Full Text: DOI
Odibat, Zaid M. Analytic study on linear systems of fractional differential equations. (English) Zbl 1189.34017 Comput. Math. Appl. 59, No. 3, 1171-1183 (2010). MSC: 34A08 26A33 34A30 34D20 45J05 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Comput. Math. Appl. 59, No. 3, 1171--1183 (2010; Zbl 1189.34017) Full Text: DOI
Băleanu, Dumitru; Mustafa, Octavian G. On the global existence of solutions to a class of fractional differential equations. (English) Zbl 1189.34006 Comput. Math. Appl. 59, No. 5, 1835-1841 (2010). MSC: 34A08 26A33 PDFBibTeX XMLCite \textit{D. Băleanu} and \textit{O. G. Mustafa}, Comput. Math. Appl. 59, No. 5, 1835--1841 (2010; Zbl 1189.34006) Full Text: DOI
Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean Anomalous diffusion modeling by fractal and fractional derivatives. (English) Zbl 1189.35355 Comput. Math. Appl. 59, No. 5, 1754-1758 (2010). MSC: 35R11 26A33 35A08 PDFBibTeX XMLCite \textit{W. Chen} et al., Comput. Math. Appl. 59, No. 5, 1754--1758 (2010; Zbl 1189.35355) Full Text: DOI
Chen, Wen; Ye, Linjuan; Sun, Hongguang Fractional diffusion equations by the Kansa method. (English) Zbl 1189.35356 Comput. Math. Appl. 59, No. 5, 1614-1620 (2010). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{W. Chen} et al., Comput. Math. Appl. 59, No. 5, 1614--1620 (2010; Zbl 1189.35356) Full Text: DOI
Becker, Jürgen; Junk, Michael; Kehrwald, Dirk; Thömmes, Guido; Yang, Zhaoxia A combined lattice BGK/level set method for immiscible two-phase flows. (English) Zbl 1189.76399 Comput. Math. Appl. 58, No. 5, 950-964 (2009). MSC: 76M28 PDFBibTeX XMLCite \textit{J. Becker} et al., Comput. Math. Appl. 58, No. 5, 950--964 (2009; Zbl 1189.76399) Full Text: DOI
Sun, Gui-Quan; Zhang, Guang; Jin, Zhen Dynamic behavior of a discrete modified Ricker & Beverton-Holt model. (English) Zbl 1186.34074 Comput. Math. Appl. 57, No. 8, 1400-1412 (2009). MSC: 34D20 37N25 92D25 39A10 PDFBibTeX XMLCite \textit{G.-Q. Sun} et al., Comput. Math. Appl. 57, No. 8, 1400--1412 (2009; Zbl 1186.34074) Full Text: DOI
Liu, Wen; Wang, Lipo Minimizing interference in satellite communications using transiently chaotic neural networks. (English) Zbl 1186.94218 Comput. Math. Appl. 57, No. 6, 1024-1029 (2009). MSC: 94A12 68T05 PDFBibTeX XMLCite \textit{W. Liu} and \textit{L. Wang}, Comput. Math. Appl. 57, No. 6, 1024--1029 (2009; Zbl 1186.94218) Full Text: DOI
Xu, Xulin; Chen, Zengqiang; Si, Guangya; Hu, Xiaofeng; Luo, Pi A novel definition of generalized synchronization on networks and a numerical simulation example. (English) Zbl 1165.34379 Comput. Math. Appl. 56, No. 11, 2789-2794 (2008). MSC: 34D20 37D45 37N35 PDFBibTeX XMLCite \textit{X. Xu} et al., Comput. Math. Appl. 56, No. 11, 2789--2794 (2008; Zbl 1165.34379) Full Text: DOI
Bo, W.; Jin, H.; Kim, D.; Liu, X.; Lee, H.; Pestieau, N.; Yu, Y.; Glimm, J.; Grove, J. W. Comparison and validation of multi phase closure models. (English) Zbl 1155.76342 Comput. Math. Appl. 56, No. 5, 1291-1302 (2008). MSC: 76F02 76M25 PDFBibTeX XMLCite \textit{W. Bo} et al., Comput. Math. Appl. 56, No. 5, 1291--1302 (2008; Zbl 1155.76342) Full Text: DOI
Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. Numerical solutions for fractional reaction-diffusion equations. (English) Zbl 1142.65422 Comput. Math. Appl. 55, No. 10, 2212-2226 (2008). MSC: 65M99 35K57 PDFBibTeX XMLCite \textit{B. Baeumer} et al., Comput. Math. Appl. 55, No. 10, 2212--2226 (2008; Zbl 1142.65422) Full Text: DOI
Bersani, A. M.; Bersani, E.; Mastroeni, L. Deterministic and stochastic models of enzymatic networks-applications to pharmaceutical research. (English) Zbl 1137.92014 Comput. Math. Appl. 55, No. 5, 879-888 (2008). MSC: 92C45 37N25 92C50 60G35 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., Comput. Math. Appl. 55, No. 5, 879--888 (2008; Zbl 1137.92014) Full Text: DOI
Paparella, Francesco; Passoni, Giuseppe Absence of inelastic collapse for a 1D gas of grains with an internal degree of freedom. (English) Zbl 1173.76053 Comput. Math. Appl. 55, No. 2, 218-229 (2008). MSC: 76T25 76T15 PDFBibTeX XMLCite \textit{F. Paparella} and \textit{G. Passoni}, Comput. Math. Appl. 55, No. 2, 218--229 (2008; Zbl 1173.76053) Full Text: DOI
Bisi, M.; Spiga, G. Kinetic approach to granular matter in a medium. (English) Zbl 1139.82327 Comput. Math. Appl. 55, No. 2, 162-174 (2008). MSC: 82C40 76P05 76D05 PDFBibTeX XMLCite \textit{M. Bisi} and \textit{G. Spiga}, Comput. Math. Appl. 55, No. 2, 162--174 (2008; Zbl 1139.82327) Full Text: DOI
Barrio, Roberto; Serrano, Sergio Modifications of the method of variation of parameters. (English) Zbl 1111.34002 Comput. Math. Appl. 51, No. 3-4, 451-466 (2006). MSC: 34A05 70F15 70M20 PDFBibTeX XMLCite \textit{R. Barrio} and \textit{S. Serrano}, Comput. Math. Appl. 51, No. 3--4, 451--466 (2006; Zbl 1111.34002) Full Text: DOI
Berezansky, L.; Braverman, E. Mackey-Glass equation with variable coefficients. (English) Zbl 1101.34062 Comput. Math. Appl. 51, No. 1, 1-16 (2006). MSC: 34K25 34K20 34K60 34K11 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Comput. Math. Appl. 51, No. 1, 1--16 (2006; Zbl 1101.34062) Full Text: DOI
Berezansky, L.; Braverman, E.; Idels, L. Delay differential equations with Hill’s type growth rate and linear harvesting. (English) Zbl 1090.34062 Comput. Math. Appl. 49, No. 4, 549-563 (2005). Reviewer: Marcos Lizana (Merida) MSC: 34K25 34K12 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Comput. Math. Appl. 49, No. 4, 549--563 (2005; Zbl 1090.34062) Full Text: DOI
Belyakov, L. A.; Glebskij, L. Yu.; Lerman, L. M. Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation. (English) Zbl 0913.76076 Comput. Math. Appl. 34, No. 2-4, 253-266 (1997). Reviewer: Gheorghe Moroşanu (Iaşi) MSC: 76M99 35Q35 PDFBibTeX XMLCite \textit{L. A. Belyakov} et al., Comput. Math. Appl. 34, No. 2--4, 253--266 (1997; Zbl 0913.76076) Full Text: DOI
Akishin, P. G.; Puzynin, I. V.; Vinitskij, S. I. A hybrid numerical method for analysis of dynamics of the classical Hamiltonian systems. (English) Zbl 0896.70002 Comput. Math. Appl. 34, No. 2-4, 45-73 (1997). MSC: 70-08 70H05 PDFBibTeX XMLCite \textit{P. G. Akishin} et al., Comput. Math. Appl. 34, No. 2--4, 45--73 (1997; Zbl 0896.70002) Full Text: DOI