Zhou, Yongtao; Li, Cui; Stynes, Martin A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 07792397 Numer. Algorithms 95, No. 2, 693-720 (2024). MSC: 65L05 65L12 65L70 65M06 65M15 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Numer. Algorithms 95, No. 2, 693--720 (2024; Zbl 07792397) Full Text: DOI
Wang, R.; Qiao, L.; Zaky, M. A.; Hendy, A. S. A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions. (English) Zbl 07785650 Numer. Algorithms 95, No. 1, 319-349 (2024). MSC: 65R20 65J15 65N12 PDFBibTeX XMLCite \textit{R. Wang} et al., Numer. Algorithms 95, No. 1, 319--349 (2024; Zbl 07785650) Full Text: DOI
Kazmi, Kamran A fast and high-order IMEX method for non-linear time-space-fractional reaction-diffusion equations. (English) Zbl 07785647 Numer. Algorithms 95, No. 1, 243-266 (2024). MSC: 65M06 65N06 65M70 65T50 65B05 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{K. Kazmi}, Numer. Algorithms 95, No. 1, 243--266 (2024; Zbl 07785647) Full Text: DOI
Zhu, Bi-Yun; Xiao, Ai-Guo; Li, Xue-Yang An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data. (English) Zbl 07780858 Numer. Algorithms 94, No. 4, 1561-1596 (2023). MSC: 65M70 65M06 65N35 65T40 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{B.-Y. Zhu} et al., Numer. Algorithms 94, No. 4, 1561--1596 (2023; Zbl 07780858) Full Text: DOI
Qiao, Leijie; Qiu, Wenlin; Xu, Da Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion. (English) Zbl 07694960 Numer. Algorithms 93, No. 3, 1083-1104 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{L. Qiao} et al., Numer. Algorithms 93, No. 3, 1083--1104 (2023; Zbl 07694960) Full Text: DOI
Wang, Dongling; Zou, Jun Mittag-Leffler stability of numerical solutions to time fractional ODEs. (English) Zbl 1512.65149 Numer. Algorithms 92, No. 4, 2125-2159 (2023). MSC: 65L07 34A08 PDFBibTeX XMLCite \textit{D. Wang} and \textit{J. Zou}, Numer. Algorithms 92, No. 4, 2125--2159 (2023; Zbl 1512.65149) Full Text: DOI arXiv
Sarumi, Ibrahim O.; Furati, Khaled M.; Mustapha, Kassem; Khaliq, Abdul Q. M. Efficient high-order exponential time differencing methods for nonlinear fractional differential models. (English) Zbl 1506.65094 Numer. Algorithms 92, No. 2, 1261-1288 (2023). MSC: 65L03 65L04 34K37 PDFBibTeX XMLCite \textit{I. O. Sarumi} et al., Numer. Algorithms 92, No. 2, 1261--1288 (2023; Zbl 1506.65094) Full Text: DOI
Rashidinia, Jalil; Eftekhari, Tahereh; Maleknejad, Khosrow A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets. (English) Zbl 1482.65129 Numer. Algorithms 88, No. 4, 1617-1639 (2021). MSC: 65L60 34A08 65L70 65R20 PDFBibTeX XMLCite \textit{J. Rashidinia} et al., Numer. Algorithms 88, No. 4, 1617--1639 (2021; Zbl 1482.65129) Full Text: DOI
Hou, Dianming; Zhu, Hongyi; Xu, Chuanju Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach. (English) Zbl 1481.65237 Numer. Algorithms 88, No. 3, 1077-1108 (2021). MSC: 65N35 65M70 65N50 45K05 41A05 41A10 41A25 26A33 35R11 PDFBibTeX XMLCite \textit{D. Hou} et al., Numer. Algorithms 88, No. 3, 1077--1108 (2021; Zbl 1481.65237) Full Text: DOI arXiv
Delkhosh, Mehdi; Parand, Kourosh A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations. (English) Zbl 1501.65079 Numer. Algorithms 88, No. 2, 729-766 (2021). MSC: 65M70 65M12 65M15 58C40 35S10 26A33 35R11 PDFBibTeX XMLCite \textit{M. Delkhosh} and \textit{K. Parand}, Numer. Algorithms 88, No. 2, 729--766 (2021; Zbl 1501.65079) Full Text: DOI
Wen, Cao; Liu, Yang; Yin, Baoli; Li, Hong; Wang, Jinfeng Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model. (English) Zbl 1483.65161 Numer. Algorithms 88, No. 2, 523-553 (2021). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65M60 35R11 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{C. Wen} et al., Numer. Algorithms 88, No. 2, 523--553 (2021; Zbl 1483.65161) Full Text: DOI
Du, Rui-lian; Sun, Zhi-zhong Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. (English) Zbl 1496.65111 Numer. Algorithms 88, No. 1, 191-226 (2021). MSC: 65M06 65N06 65M12 35B65 60J65 26A33 35R11 PDFBibTeX XMLCite \textit{R.-l. Du} and \textit{Z.-z. Sun}, Numer. Algorithms 88, No. 1, 191--226 (2021; Zbl 1496.65111) Full Text: DOI
Gu, Zhendong; Kong, Yinying Spectral collocation method for Caputo fractional terminal value problems. (English) Zbl 1484.65251 Numer. Algorithms 88, No. 1, 93-111 (2021). MSC: 65M70 45D05 65M12 65D32 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Gu} and \textit{Y. Kong}, Numer. Algorithms 88, No. 1, 93--111 (2021; Zbl 1484.65251) Full Text: DOI
Wang, Xiaoping; Xu, Huanying; Qi, Haitao Analytical and numerical analysis of time fractional dual-phase-lag heat conduction during short-pulse laser heating. (English) Zbl 1456.65078 Numer. Algorithms 85, No. 4, 1385-1408 (2020). MSC: 65M06 35R11 78A60 65Z05 PDFBibTeX XMLCite \textit{X. Wang} et al., Numer. Algorithms 85, No. 4, 1385--1408 (2020; Zbl 1456.65078) Full Text: DOI
Shi, Lei; Chen, Zhong; Ding, Xiaohua; Ma, Qiang A new stable collocation method for solving a class of nonlinear fractional delay differential equations. (English) Zbl 1456.65055 Numer. Algorithms 85, No. 4, 1123-1153 (2020). MSC: 65L60 34K37 65L20 65L70 PDFBibTeX XMLCite \textit{L. Shi} et al., Numer. Algorithms 85, No. 4, 1123--1153 (2020; Zbl 1456.65055) Full Text: DOI
Li, Binjie; Luo, Hao; Xie, Xiaoping A space-time finite element method for fractional wave problems. (English) Zbl 1451.65149 Numer. Algorithms 85, No. 3, 1095-1121 (2020). MSC: 65M60 65M12 35R11 26A33 65M22 PDFBibTeX XMLCite \textit{B. Li} et al., Numer. Algorithms 85, No. 3, 1095--1121 (2020; Zbl 1451.65149) Full Text: DOI arXiv
Ma, Junjie; Liu, Huilan Fractional collocation boundary value methods for the second kind Volterra equations with weakly singular kernels. (English) Zbl 1462.65222 Numer. Algorithms 84, No. 2, 743-760 (2020). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{J. Ma} and \textit{H. Liu}, Numer. Algorithms 84, No. 2, 743--760 (2020; Zbl 1462.65222) Full Text: DOI
Huang, Yun-Chi; Lei, Siu-Long Fast solvers for finite difference scheme of two-dimensional time-space fractional differential equations. (English) Zbl 1442.65162 Numer. Algorithms 84, No. 1, 37-62 (2020). MSC: 65M06 65M22 35R11 65Y20 65F05 PDFBibTeX XMLCite \textit{Y.-C. Huang} and \textit{S.-L. Lei}, Numer. Algorithms 84, No. 1, 37--62 (2020; Zbl 1442.65162) Full Text: DOI
Li, T.; Wang, Y.; Liu, F.; Turner, I. Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever. (English) Zbl 1448.92317 Numer. Algorithms 82, No. 4, 1467-1495 (2019). Reviewer: Smail Djebali (Algiers) MSC: 92D30 26A33 34A55 PDFBibTeX XMLCite \textit{T. Li} et al., Numer. Algorithms 82, No. 4, 1467--1495 (2019; Zbl 1448.92317) Full Text: DOI
Li, Xiaoli; Rui, Hongxing; Liu, Zhengguang Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation. (English) Zbl 1420.65105 Numer. Algorithms 82, No. 1, 321-347 (2019). MSC: 65M70 65M12 35R11 PDFBibTeX XMLCite \textit{X. Li} et al., Numer. Algorithms 82, No. 1, 321--347 (2019; Zbl 1420.65105) Full Text: DOI
Zhang, Haixiang; Yang, Xuehua; Xu, Da A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation. (English) Zbl 1412.65122 Numer. Algorithms 80, No. 3, 849-877 (2019). MSC: 65M12 65M06 65M70 35S10 65D07 35R11 65M15 35K57 PDFBibTeX XMLCite \textit{H. Zhang} et al., Numer. Algorithms 80, No. 3, 849--877 (2019; Zbl 1412.65122) Full Text: DOI
Li, Xiaoli; Rui, Hongxing Two temporal second-order \(H^1\)-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations. (English) Zbl 1407.65197 Numer. Algorithms 79, No. 4, 1107-1130 (2018). MSC: 65M60 26A33 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Numer. Algorithms 79, No. 4, 1107--1130 (2018; Zbl 1407.65197) Full Text: DOI
Abdullah, F. A.; Liu, F.; Burrage, P.; Burrage, K.; Li, T. Novel analytical and numerical techniques for fractional temporal SEIR measles model. (English) Zbl 1402.92379 Numer. Algorithms 79, No. 1, 19-40 (2018). Reviewer: Samir Bashir Hadid (Ajman) MSC: 92D30 26A33 34A08 37M05 PDFBibTeX XMLCite \textit{F. A. Abdullah} et al., Numer. Algorithms 79, No. 1, 19--40 (2018; Zbl 1402.92379) Full Text: DOI Link
Liu, Yanzhi; Roberts, Jason; Yan, Yubin Detailed error analysis for a fractional Adams method with graded meshes. (English) Zbl 1398.65173 Numer. Algorithms 78, No. 4, 1195-1216 (2018). Reviewer: Dana Černá (Liberec) MSC: 65L06 34A08 65L05 65L20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Numer. Algorithms 78, No. 4, 1195--1216 (2018; Zbl 1398.65173) Full Text: DOI
Rahimkhani, P.; Ordokhani, Y.; Babolian, E. Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations. (English) Zbl 1402.65061 Numer. Algorithms 77, No. 4, 1283-1305 (2018). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65L05 34K28 34K37 PDFBibTeX XMLCite \textit{P. Rahimkhani} et al., Numer. Algorithms 77, No. 4, 1283--1305 (2018; Zbl 1402.65061) Full Text: DOI
Hendy, A. S.; De Staelen, R. H.; Pimenov, V. G. A semi-linear delayed diffusion-wave system with distributed order in time. (English) Zbl 1395.65019 Numer. Algorithms 77, No. 3, 885-903 (2018). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{A. S. Hendy} et al., Numer. Algorithms 77, No. 3, 885--903 (2018; Zbl 1395.65019) Full Text: DOI
Wei, Leilei Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations. (English) Zbl 1378.65164 Numer. Algorithms 76, No. 3, 695-707 (2017). Reviewer: Marius Ghergu (Dublin) MSC: 65M12 65M60 35R11 35K05 PDFBibTeX XMLCite \textit{L. Wei}, Numer. Algorithms 76, No. 3, 695--707 (2017; Zbl 1378.65164) Full Text: DOI
Płociniczak, Łukasz; Sobieszek, Szymon Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. (English) Zbl 1422.65456 Numer. Algorithms 76, No. 1, 125-150 (2017). Reviewer: Neville Ford (Chester) MSC: 65R20 45J05 34A08 34K37 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{S. Sobieszek}, Numer. Algorithms 76, No. 1, 125--150 (2017; Zbl 1422.65456) Full Text: DOI
Liao, Hong-lin; Lyu, Pin; Vong, Seakweng; Zhao, Ying Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations. (English) Zbl 1376.65119 Numer. Algorithms 75, No. 4, 845-878 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M12 35K20 35R11 65M06 PDFBibTeX XMLCite \textit{H.-l. Liao} et al., Numer. Algorithms 75, No. 4, 845--878 (2017; Zbl 1376.65119) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. (English) Zbl 1412.65131 Numer. Algorithms 75, No. 1, 173-211 (2017). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Numer. Algorithms 75, No. 1, 173--211 (2017; Zbl 1412.65131) Full Text: DOI
Messina, Eleonora; Vecchio, Antonia A sufficient condition for the stability of direct quadrature methods for Volterra integral equations. (English) Zbl 1364.65295 Numer. Algorithms 74, No. 4, 1223-1236 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45A05 45D05 45G10 47H30 PDFBibTeX XMLCite \textit{E. Messina} and \textit{A. Vecchio}, Numer. Algorithms 74, No. 4, 1223--1236 (2017; Zbl 1364.65295) Full Text: DOI
Salehi, Rezvan A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation. (English) Zbl 1365.65230 Numer. Algorithms 74, No. 4, 1145-1168 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65M70 65M15 35R11 35M13 35K05 35L05 65M12 PDFBibTeX XMLCite \textit{R. Salehi}, Numer. Algorithms 74, No. 4, 1145--1168 (2017; Zbl 1365.65230) Full Text: DOI
Deng, Jingwei; Zhao, Lijing; Wu, Yujiang Fast predictor-corrector approach for the tempered fractional differential equations. (English) Zbl 1364.65142 Numer. Algorithms 74, No. 3, 717-754 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L06 65L12 65L70 65L05 34A08 34A34 PDFBibTeX XMLCite \textit{J. Deng} et al., Numer. Algorithms 74, No. 3, 717--754 (2017; Zbl 1364.65142) Full Text: DOI arXiv
Gao, Guang-hua; Sun, Zhi-zhong Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. (English) Zbl 1372.65229 Numer. Algorithms 74, No. 3, 675-697 (2017). Reviewer: Petr Sváček (Praha) MSC: 65M06 35L05 35R11 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} and \textit{Z.-z. Sun}, Numer. Algorithms 74, No. 3, 675--697 (2017; Zbl 1372.65229) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Analysis of a meshless method for the time fractional diffusion-wave equation. (English) Zbl 1352.65298 Numer. Algorithms 73, No. 2, 445-476 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65M20 65M06 65M70 35R11 35K05 35L05 35M10 65M12 65M15 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Numer. Algorithms 73, No. 2, 445--476 (2016; Zbl 1352.65298) Full Text: DOI
Mokhtary, P. Numerical treatment of a well-posed Chebyshev tau method for Bagley-Torvik equation with high-order of accuracy. (English) Zbl 1348.65108 Numer. Algorithms 72, No. 4, 875-891 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L05 34A08 74F15 65L12 65L60 65L08 65L20 PDFBibTeX XMLCite \textit{P. Mokhtary}, Numer. Algorithms 72, No. 4, 875--891 (2016; Zbl 1348.65108) Full Text: DOI
Hu, Xiuling; Liu, Fawang; Turner, Ian; Anh, Vo An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. (English) Zbl 1343.65110 Numer. Algorithms 72, No. 2, 393-407 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M06 65M12 35R11 35L20 PDFBibTeX XMLCite \textit{X. Hu} et al., Numer. Algorithms 72, No. 2, 393--407 (2016; Zbl 1343.65110) Full Text: DOI Link
Yuste, Santos B.; Quintana-Murillo, J. Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations. (English) Zbl 1335.65075 Numer. Algorithms 71, No. 1, 207-228 (2016). MSC: 65M06 35R11 35K05 65M50 65M15 PDFBibTeX XMLCite \textit{S. B. Yuste} and \textit{J. Quintana-Murillo}, Numer. Algorithms 71, No. 1, 207--228 (2016; Zbl 1335.65075) Full Text: DOI arXiv
Wang, Pengde; Huang, Chengming A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. (English) Zbl 1325.65127 Numer. Algorithms 69, No. 3, 625-641 (2015). Reviewer: Fernando Casas (Castellon) MSC: 65M06 35R11 35Q51 35Q55 65M12 PDFBibTeX XMLCite \textit{P. Wang} and \textit{C. Huang}, Numer. Algorithms 69, No. 3, 625--641 (2015; Zbl 1325.65127) Full Text: DOI
Yu, Bo; Jiang, Xiaoyun; Xu, Huanying A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation. (English) Zbl 1314.65114 Numer. Algorithms 68, No. 4, 923-950 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M06 35K57 35R11 65M12 PDFBibTeX XMLCite \textit{B. Yu} et al., Numer. Algorithms 68, No. 4, 923--950 (2015; Zbl 1314.65114) Full Text: DOI
Kamrani, Minoo Numerical solution of stochastic fractional differential equations. (English) Zbl 1386.65038 Numer. Algorithms 68, No. 1, 81-93 (2015). MSC: 65C30 26A33 60H15 PDFBibTeX XMLCite \textit{M. Kamrani}, Numer. Algorithms 68, No. 1, 81--93 (2015; Zbl 1386.65038) Full Text: DOI
Majidian, Hassan Modified Euler’s method with a graded mesh for a class of Volterra integral equations with weakly singular kernel. (English) Zbl 1304.65272 Numer. Algorithms 67, No. 2, 405-422 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45D05 45E10 PDFBibTeX XMLCite \textit{H. Majidian}, Numer. Algorithms 67, No. 2, 405--422 (2014; Zbl 1304.65272) Full Text: DOI
Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J. Collocation methods for fractional integro-differential equations with weakly singular kernels. (English) Zbl 1298.65197 Numer. Algorithms 65, No. 4, 723-743 (2014). MSC: 65R20 26A33 45J05 45D05 45A05 45E10 PDFBibTeX XMLCite \textit{J. Zhao} et al., Numer. Algorithms 65, No. 4, 723--743 (2014; Zbl 1298.65197) Full Text: DOI
Shen, Shujun; Liu, Fawang; Anh, Vo Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. (English) Zbl 1214.65046 Numer. Algorithms 56, No. 3, 383-403 (2011). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M12 35K15 35K20 35R11 PDFBibTeX XMLCite \textit{S. Shen} et al., Numer. Algorithms 56, No. 3, 383--403 (2011; Zbl 1214.65046) Full Text: DOI
Lima, Pedro Miguel; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. Finite element solution of a linear mixed-type functional differential equation. (English) Zbl 1200.65054 Numer. Algorithms 55, No. 2-3, 301-320 (2010). MSC: 65L03 65L60 PDFBibTeX XMLCite \textit{P. M. Lima} et al., Numer. Algorithms 55, No. 2--3, 301--320 (2010; Zbl 1200.65054) Full Text: DOI
Diethelm, Kai An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. (English) Zbl 1144.65017 Numer. Algorithms 47, No. 4, 361-390 (2008). Reviewer: Iulian Coroian (Baia Mare) MSC: 65D25 26A33 65L05 34A34 PDFBibTeX XMLCite \textit{K. Diethelm}, Numer. Algorithms 47, No. 4, 361--390 (2008; Zbl 1144.65017) Full Text: DOI