Yang, Fan; Zhang, Yan; Li, Xiao-Xiao Landweber iterative method for an inverse source problem of time-space fractional diffusion-wave equation. (English) Zbl 07804043 Comput. Methods Appl. Math. 24, No. 1, 265-278 (2024). MSC: 35R30 35R11 47A52 65M32 PDFBibTeX XMLCite \textit{F. Yang} et al., Comput. Methods Appl. Math. 24, No. 1, 265--278 (2024; Zbl 07804043) Full Text: DOI
Kumari, Sarita; Pandey, Rajesh K. Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems. (English) Zbl 07793575 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107769, 25 p. (2024). MSC: 65M06 65N06 65M12 65M15 35B65 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{S. Kumari} and \textit{R. K. Pandey}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107769, 25 p. (2024; Zbl 07793575) Full Text: DOI
Elmahdi, Emadidin Gahalla Mohmed; Arshad, Sadia; Huang, Jianfei A compact difference scheme for time-space fractional nonlinear diffusion-wave equations with initial singularity. (English) Zbl 07792919 Adv. Appl. Math. Mech. 16, No. 1, 146-163 (2024). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{E. G. M. Elmahdi} et al., Adv. Appl. Math. Mech. 16, No. 1, 146--163 (2024; Zbl 07792919) Full Text: DOI
Alikhanov, Anatoly A.; Asl, Mohammad Shahbazi; Huang, Chengming; Khibiev, Aslanbek A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay. (English) Zbl 07756736 J. Comput. Appl. Math. 438, Article ID 115515, 15 p. (2024). MSC: 65Mxx 35Rxx 65Lxx PDFBibTeX XMLCite \textit{A. A. Alikhanov} et al., J. Comput. Appl. Math. 438, Article ID 115515, 15 p. (2024; Zbl 07756736) Full Text: DOI
Heydari, M. H.; Zhagharian, Sh.; Razzaghi, M. Jacobi polynomials for the numerical solution of multi-dimensional stochastic multi-order time fractional diffusion-wave equations. (English) Zbl 07801655 Comput. Math. Appl. 152, 91-101 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Comput. Math. Appl. 152, 91--101 (2023; Zbl 07801655) Full Text: DOI
Ye, Yinlin; Fan, Hongtao; Li, Yajing; Huang, Ao; He, Weiheng An artificial neural network approach for a class of time-fractional diffusion and diffusion-wave equations. (English) Zbl 07798650 Netw. Heterog. Media 18, No. 3, 1083-1104 (2023). MSC: 65M99 68T07 92B20 65M15 41A58 33E12 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Ye} et al., Netw. Heterog. Media 18, No. 3, 1083--1104 (2023; Zbl 07798650) Full Text: DOI
Yao, Zichen; Yang, Zhanwen Stability and asymptotics for fractional delay diffusion-wave equations. (English) Zbl 07793767 Math. Methods Appl. Sci. 46, No. 14, 15208-15225 (2023). MSC: 35R11 35B40 35K20 34K37 PDFBibTeX XMLCite \textit{Z. Yao} and \textit{Z. Yang}, Math. Methods Appl. Sci. 46, No. 14, 15208--15225 (2023; Zbl 07793767) Full Text: DOI
Kumari, Sarita; Pandey, Rajesh K. Single-term and multi-term nonuniform time-stepping approximation methods for two-dimensional time-fractional diffusion-wave equation. (English) Zbl 07783947 Comput. Math. Appl. 151, 359-383 (2023). MSC: 65M06 35R11 65M12 26A33 65M15 PDFBibTeX XMLCite \textit{S. Kumari} and \textit{R. K. Pandey}, Comput. Math. Appl. 151, 359--383 (2023; Zbl 07783947) Full Text: DOI
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Geng, Lu-Lu A new fractional derivative for solving time fractional diffusion wave equation. (English) Zbl 07781123 Math. Methods Appl. Sci. 46, No. 1, 267-272 (2023). MSC: 35R11 35A08 35A24 PDFBibTeX XMLCite \textit{J.-G. Liu} et al., Math. Methods Appl. Sci. 46, No. 1, 267--272 (2023; Zbl 07781123) Full Text: DOI
Wei, Ting; Zhang, Yun; Gao, Dingqian Identification of the zeroth-order coefficient and fractional order in a time-fractional reaction-diffusion-wave equation. (English) Zbl 07781116 Math. Methods Appl. Sci. 46, No. 1, 142-166 (2023). MSC: 35R30 35R11 35K57 65M32 PDFBibTeX XMLCite \textit{T. Wei} et al., Math. Methods Appl. Sci. 46, No. 1, 142--166 (2023; Zbl 07781116) Full Text: DOI
Shi, Chengxin; Cheng, Hao; Fan, Wenping An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder. (English) Zbl 07780860 Numer. Algorithms 94, No. 4, 1619-1651 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{C. Shi} et al., Numer. Algorithms 94, No. 4, 1619--1651 (2023; Zbl 07780860) Full Text: DOI
Shi, Chengxin; Cheng, Hao The backward problem for radially symmetric time-fractional diffusion-wave equation under Robin boundary condition. (English) Zbl 07780282 Math. Methods Appl. Sci. 46, No. 8, 9526-9541 (2023). MSC: 35R30 35K20 35R11 47A52 PDFBibTeX XMLCite \textit{C. Shi} and \textit{H. Cheng}, Math. Methods Appl. Sci. 46, No. 8, 9526--9541 (2023; Zbl 07780282) Full Text: DOI
Cheng, Xing; Li, Zhiyuan Uniqueness and stability for inverse source problem for fractional diffusion-wave equations. (English) Zbl 1528.35231 J. Inverse Ill-Posed Probl. 31, No. 6, 885-904 (2023). MSC: 35R30 35K20 35R11 PDFBibTeX XMLCite \textit{X. Cheng} and \textit{Z. Li}, J. Inverse Ill-Posed Probl. 31, No. 6, 885--904 (2023; Zbl 1528.35231) Full Text: DOI arXiv
Guan, Zhen; Wang, Jungang; Liu, Ying; Nie, Yufeng Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation. (English) Zbl 07773391 Results Appl. Math. 19, Article ID 100389, 14 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Guan} et al., Results Appl. Math. 19, Article ID 100389, 14 p. (2023; Zbl 07773391) Full Text: DOI
Sana, Soura; Mandal, Bankim C. Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for heterogeneous sub-diffusion and diffusion-wave equations. (English) Zbl 07772638 Comput. Math. Appl. 150, 102-124 (2023). MSC: 65M12 65M55 65Y05 26A33 65M06 PDFBibTeX XMLCite \textit{S. Sana} and \textit{B. C. Mandal}, Comput. Math. Appl. 150, 102--124 (2023; Zbl 07772638) Full Text: DOI arXiv
Sun, Hong; Chen, Yanping; Zhao, Xuan Error estimate of the nonuniform \(L1\) type formula for the time fractional diffusion-wave equation. (English) Zbl 1527.65074 Commun. Math. Sci. 21, No. 6, 1707-1725 (2023). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{H. Sun} et al., Commun. Math. Sci. 21, No. 6, 1707--1725 (2023; Zbl 1527.65074) Full Text: DOI arXiv
Lyu, Pin; Vong, Seakweng A weighted ADI scheme with variable time steps for diffusion-wave equations. (English) Zbl 1526.65039 Calcolo 60, No. 4, Paper No. 49, 20 p. (2023). MSC: 65M06 65N06 65M12 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{P. Lyu} and \textit{S. Vong}, Calcolo 60, No. 4, Paper No. 49, 20 p. (2023; Zbl 1526.65039) Full Text: DOI
Liao, Kaifang; Zhang, Lei; Wei, Ting Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation. (English) Zbl 1527.65086 J. Inverse Ill-Posed Probl. 31, No. 5, 631-652 (2023). MSC: 65M32 65M30 65K10 65J20 33E12 26A33 35R11 35A01 35A02 15A69 74D10 35R30 35R25 35R60 PDFBibTeX XMLCite \textit{K. Liao} et al., J. Inverse Ill-Posed Probl. 31, No. 5, 631--652 (2023; Zbl 1527.65086) Full Text: DOI
Kundaliya, Pari J.; Chaudhary, Sudhakar Symmetric fractional order reduction method with \(L1\) scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type. (English) Zbl 07750312 Comput. Math. Appl. 149, 128-134 (2023). MSC: 65M06 35R11 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{P. J. Kundaliya} and \textit{S. Chaudhary}, Comput. Math. Appl. 149, 128--134 (2023; Zbl 07750312) Full Text: DOI arXiv
Elmahdi, Emadidin Gahalla Mohmed; Huang, Jianfei A linearized finite difference scheme for time-space fractional nonlinear diffusion-wave equations with initial singularity. (English) Zbl 07748406 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1769-1783 (2023). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{E. G. M. Elmahdi} and \textit{J. Huang}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1769--1783 (2023; Zbl 07748406) Full Text: DOI
Basti, Bilal; Djemiat, Rabah; Benhamidouche, Noureddine Theoretical studies on the existence and uniqueness of solutions for a multidimensional nonlinear time and space-fractional reaction-diffusion/wave equation. (English) Zbl 1523.35279 Mem. Differ. Equ. Math. Phys. 89, 1-16 (2023). MSC: 35R11 35A01 35C06 34A08 34K37 PDFBibTeX XMLCite \textit{B. Basti} et al., Mem. Differ. Equ. Math. Phys. 89, 1--16 (2023; Zbl 1523.35279) Full Text: Link
Cui, Mingrong An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion-wave equation. (English) Zbl 07736742 Math. Comput. Simul. 213, 194-210 (2023). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{M. Cui}, Math. Comput. Simul. 213, 194--210 (2023; Zbl 07736742) Full Text: DOI
Zhang, Zhengqiang; Guo, Shimin; Zhang, Yuan-Xiang An iterative method based on Nesterov acceleration for identifying space-dependent source term in a time-fractional diffusion-wave equation. (English) Zbl 07732714 J. Comput. Appl. Math. 429, Article ID 115214, 20 p. (2023). MSC: 65-XX 35Rxx 65Mxx 65Jxx PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Comput. Appl. Math. 429, Article ID 115214, 20 p. (2023; Zbl 07732714) Full Text: DOI
Shi, Chengxin; Cheng, Hao Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation. (English) Zbl 1518.35686 J. Comput. Appl. Math. 434, Article ID 115337, 12 p. (2023). MSC: 35R30 35R11 65M32 PDFBibTeX XMLCite \textit{C. Shi} and \textit{H. Cheng}, J. Comput. Appl. Math. 434, Article ID 115337, 12 p. (2023; Zbl 1518.35686) Full Text: DOI
Qiu, Lin; Ma, Xingdan; Qin, Qing-Hua A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations. (English) Zbl 07708820 Appl. Math. Lett. 142, Article ID 108657, 7 p. (2023). MSC: 65Mxx 65Nxx 35Rxx PDFBibTeX XMLCite \textit{L. Qiu} et al., Appl. Math. Lett. 142, Article ID 108657, 7 p. (2023; Zbl 07708820) Full Text: DOI
Lassas, Matti; Li, Zhiyuan; Zhang, Zhidong Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems. (English) Zbl 1518.35678 Inverse Probl. 39, No. 8, Article ID 084001, 36 p. (2023). MSC: 35R30 35R11 35R60 PDFBibTeX XMLCite \textit{M. Lassas} et al., Inverse Probl. 39, No. 8, Article ID 084001, 36 p. (2023; Zbl 1518.35678) Full Text: DOI arXiv
Li, Yanchao; Zhong, Mingying Green’s function and pointwise behaviors of the one-dimensional modified Vlasov-Poisson-Boltzmann system. (English) Zbl 1517.76080 Kinet. Relat. Models 16, No. 5, 676-716 (2023). MSC: 76X05 76P05 35Q83 PDFBibTeX XMLCite \textit{Y. Li} and \textit{M. Zhong}, Kinet. Relat. Models 16, No. 5, 676--716 (2023; Zbl 1517.76080) Full Text: DOI arXiv
Adil, Nauryzbay; Berdyshev, Abdumauvlen S.; Eshmatov, B. E.; Baishemirov, Zharasbek D. Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation. (English) Zbl 1518.35613 Bound. Value Probl. 2023, Paper No. 47, 29 p. (2023); correction ibid. 2023, Paper No. 73, 1 p. (2023). MSC: 35R11 35M13 PDFBibTeX XMLCite \textit{N. Adil} et al., Bound. Value Probl. 2023, Paper No. 47, 29 p. (2023; Zbl 1518.35613) Full Text: DOI
Engström, Christian; Giani, Stefano; Grubišić, Luka Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms. (English) Zbl 07700237 J. Comput. Appl. Math. 425, Article ID 115035, 13 p. (2023). MSC: 65Rxx 65N30 PDFBibTeX XMLCite \textit{C. Engström} et al., J. Comput. Appl. Math. 425, Article ID 115035, 13 p. (2023; Zbl 07700237) Full Text: DOI
Yan, Xiong-bin; Wei, Ting Identifying a fractional order and a time-dependent coefficient in a time-fractional diffusion wave equation. (English) Zbl 1517.35269 J. Comput. Appl. Math. 424, Article ID 114995, 17 p. (2023). MSC: 35R30 35R11 65M32 PDFBibTeX XMLCite \textit{X.-b. Yan} and \textit{T. Wei}, J. Comput. Appl. Math. 424, Article ID 114995, 17 p. (2023; Zbl 1517.35269) Full Text: DOI
Zhang, Dan; An, Na; Huang, Chaobao Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation. (English) Zbl 07691999 Comput. Math. Appl. 142, 283-292 (2023). MSC: 65-XX 35R11 65M06 65M60 65M15 65M12 PDFBibTeX XMLCite \textit{D. Zhang} et al., Comput. Math. Appl. 142, 283--292 (2023; Zbl 07691999) Full Text: DOI
Postnov, S. S. Optimal control for systems modeled by the diffusion-wave equation. (English. Russian original) Zbl 1515.49005 Sib. Math. J. 64, No. 3, 757-766 (2023); translation from Vladikavkaz. Mat. Zh. 24, No. 3, 108-119 (2022). MSC: 49J20 35Q99 49K40 PDFBibTeX XMLCite \textit{S. S. Postnov}, Sib. Math. J. 64, No. 3, 757--766 (2023; Zbl 1515.49005); translation from Vladikavkaz. Mat. Zh. 24, No. 3, 108--119 (2022) Full Text: DOI
Pskhu, A. V. D’Alembert formula for diffusion-wave equation. (English) Zbl 07688847 Lobachevskii J. Math. 44, No. 2, 644-652 (2023). MSC: 26Axx 44Axx 35Rxx PDFBibTeX XMLCite \textit{A. V. Pskhu}, Lobachevskii J. Math. 44, No. 2, 644--652 (2023; Zbl 07688847) Full Text: DOI
Mamchuev, M. O.; Mamchuev, A. M. Fourier problem for fractional diffusion-wave equation. (English) Zbl 1523.35287 Lobachevskii J. Math. 44, No. 2, 620-628 (2023). MSC: 35R11 35A08 35K20 PDFBibTeX XMLCite \textit{M. O. Mamchuev} and \textit{A. M. Mamchuev}, Lobachevskii J. Math. 44, No. 2, 620--628 (2023; Zbl 1523.35287) Full Text: DOI
Terpák, Ján General one-dimensional model of the time-fractional diffusion-wave equation in various geometries. (English) Zbl 1511.35375 Fract. Calc. Appl. Anal. 26, No. 2, 599-618 (2023). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{J. Terpák}, Fract. Calc. Appl. Anal. 26, No. 2, 599--618 (2023; Zbl 1511.35375) Full Text: DOI
Zhang, Yaoyao; Wang, Zhibo Numerical simulation for time-fractional diffusion-wave equations with time delay. (English) Zbl 1509.65080 J. Appl. Math. Comput. 69, No. 1, 137-157 (2023). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Z. Wang}, J. Appl. Math. Comput. 69, No. 1, 137--157 (2023; Zbl 1509.65080) Full Text: DOI
Maurya, Rahul Kumar; Singh, Vineet Kumar A high-order adaptive numerical algorithm for fractional diffusion wave equation on non-uniform meshes. (English) Zbl 07676506 Numer. Algorithms 92, No. 3, 1905-1950 (2023). MSC: 65D05 65D15 65D30 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{R. K. Maurya} and \textit{V. K. Singh}, Numer. Algorithms 92, No. 3, 1905--1950 (2023; Zbl 07676506) Full Text: DOI
Shi, Chengxin; Cheng, Hao; Geng, Xiaoxiao The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder. (English) Zbl 07674324 Comput. Math. Appl. 137, 44-60 (2023). MSC: 65-XX 35R30 35R11 35R25 65J20 26A33 PDFBibTeX XMLCite \textit{C. Shi} et al., Comput. Math. Appl. 137, 44--60 (2023; Zbl 07674324) Full Text: DOI
Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Liu, Fawang Anisotropic \(EQ_1^{rot}\) finite element approximation for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 1515.65241 J. Comput. Math. 41, No. 3, 459-482 (2023). MSC: 65M60 35R11 65M15 65R20 PDFBibTeX XMLCite \textit{H. Fan} et al., J. Comput. Math. 41, No. 3, 459--482 (2023; Zbl 1515.65241) Full Text: DOI
Cao, Fangfang; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Yao, Changhui Nonconforming mixed FEM analysis for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with time-space coupled derivative. (English) Zbl 1513.65352 Adv. Appl. Math. Mech. 15, No. 2, 322-358 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{F. Cao} et al., Adv. Appl. Math. Mech. 15, No. 2, 322--358 (2023; Zbl 1513.65352) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Solution of space-time tempered fractional diffusion-wave equation using a high-order numerical method. (English) Zbl 1505.65277 J. Comput. Appl. Math. 423, Article ID 114935, 18 p. (2023). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, J. Comput. Appl. Math. 423, Article ID 114935, 18 p. (2023; Zbl 1505.65277) Full Text: DOI
Yamamoto, M. Uniqueness for inverse source problems for fractional diffusion-wave equations by data during not acting time. (English) Zbl 1505.35372 Inverse Probl. 39, No. 2, Article ID 024004, 20 p. (2023). MSC: 35R30 35A02 35K20 35R11 PDFBibTeX XMLCite \textit{M. Yamamoto}, Inverse Probl. 39, No. 2, Article ID 024004, 20 p. (2023; Zbl 1505.35372) Full Text: DOI arXiv
Park, Daehan Weighted maximal \(L_q (L_p)\)-regularity theory for time-fractional diffusion-wave equations with variable coefficients. (English) Zbl 1505.35075 J. Evol. Equ. 23, No. 1, Paper No. 12, 35 p. (2023). MSC: 35B65 35B45 35R09 45K05 26A33 46B70 47B38 PDFBibTeX XMLCite \textit{D. Park}, J. Evol. Equ. 23, No. 1, Paper No. 12, 35 p. (2023; Zbl 1505.35075) Full Text: DOI arXiv
Shi, Yanhua; Zhao, Yanmin; Wang, Fenling; Liu, Fawang Novel superconvergence analysis of anisotropic triangular FEM for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with variable coefficients. (English) Zbl 07778299 Numer. Methods Partial Differ. Equations 38, No. 5, 1345-1366 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 65D05 60K10 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y. Shi} et al., Numer. Methods Partial Differ. Equations 38, No. 5, 1345--1366 (2022; Zbl 07778299) Full Text: DOI
Kazakov, A. L.; Spevak, L. F. Diffusion-wave type solutions with two fronts to a nonlinear degenerate reaction-diffusion system. (English. Russian original) Zbl 07668472 J. Appl. Mech. Tech. Phys. 63, No. 6, 995-1004 (2022); translation from Prikl. Mekh. Tekh. Fiz. 65, No. 6, 104-115 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. L. Kazakov} and \textit{L. F. Spevak}, J. Appl. Mech. Tech. Phys. 63, No. 6, 995--1004 (2022; Zbl 07668472); translation from Prikl. Mekh. Tekh. Fiz. 65, No. 6, 104--115 (2022) Full Text: DOI
Moroz, L. I. Time-fractional numerical modelling applied to diffusion-wave processes of bacterial biomass growth. (English) Zbl 07666872 Dal’nevost. Mat. Zh. 22, No. 2, 207-212 (2022). MSC: 65-XX 35K57 26A33 PDFBibTeX XMLCite \textit{L. I. Moroz}, Dal'nevost. Mat. Zh. 22, No. 2, 207--212 (2022; Zbl 07666872) Full Text: DOI MNR
Kazakov, Alexander L.; Lempert, Anna A. Solutions of the second-order nonlinear parabolic system modeling the diffusion wave motion. (English) Zbl 1509.35131 Izv. Irkutsk. Gos. Univ., Ser. Mat. 42, 43-58 (2022). MSC: 35K51 35K57 PDFBibTeX XMLCite \textit{A. L. Kazakov} and \textit{A. A. Lempert}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 42, 43--58 (2022; Zbl 1509.35131) Full Text: DOI Link
Rodrigo, Marianito A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation. (English) Zbl 1503.35273 Fract. Calc. Appl. Anal. 25, No. 5, 1757-1784 (2022). MSC: 35R11 35K05 35L05 26A33 PDFBibTeX XMLCite \textit{M. Rodrigo}, Fract. Calc. Appl. Anal. 25, No. 5, 1757--1784 (2022; Zbl 1503.35273) Full Text: DOI arXiv
Fardi, Mojtaba; Al-Omari, Shrideh K. Qasem; Araci, Serkan A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation. (English) Zbl 07636100 Adv. Contin. Discrete Models 2022, Paper No. 54, 14 p. (2022). MSC: 39-XX 34-XX PDFBibTeX XMLCite \textit{M. Fardi} et al., Adv. Contin. Discrete Models 2022, Paper No. 54, 14 p. (2022; Zbl 07636100) Full Text: DOI
Postnov, Sergey Optimal damping problem for diffusion-wave equation. (English) Zbl 1504.49043 Smirnov, Nikolay (ed.) et al., Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5–10, 2020. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 127-135 (2022). MSC: 49K20 PDFBibTeX XMLCite \textit{S. Postnov}, in: Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5--10, 2020. Cham: Springer. 127--135 (2022; Zbl 1504.49043) Full Text: DOI
Postnov, S. S. Optimal control problem for systems modelled by diffusion-wave equation. (Russian. English summary) Zbl 1513.49017 Vladikavkaz. Mat. Zh. 24, No. 3, 108-119 (2022); translation in Sib. Math. J. 64, No. 3, 757-766 (2023). MSC: 49J21 34K35 34A08 49M25 PDFBibTeX XMLCite \textit{S. S. Postnov}, Vladikavkaz. Mat. Zh. 24, No. 3, 108--119 (2022; Zbl 1513.49017); translation in Sib. Math. J. 64, No. 3, 757--766 (2023) Full Text: DOI MNR
Zhang, Zhengqi; Zhou, Zhi Backward diffusion-wave problem: stability, regularization, and approximation. (English) Zbl 1506.65146 SIAM J. Sci. Comput. 44, No. 5, A3183-A3216 (2022). Reviewer: Christian Clason (Graz) MSC: 65M32 65M60 65M06 65N30 65M15 65D32 35B65 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Z. Zhou}, SIAM J. Sci. Comput. 44, No. 5, A3183--A3216 (2022; Zbl 1506.65146) Full Text: DOI arXiv
Wei, Ting; Liao, Kaifang Identifying a time-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation by using the measured data at a boundary point. (English) Zbl 1498.35632 Appl. Anal. 101, No. 18, 6522-6547 (2022). MSC: 35R30 35A02 35R11 65M32 PDFBibTeX XMLCite \textit{T. Wei} and \textit{K. Liao}, Appl. Anal. 101, No. 18, 6522--6547 (2022; Zbl 1498.35632) Full Text: DOI
Huang, Qiong; Qi, Ren-jun; Qiu, Wenlin The efficient alternating direction implicit Galerkin method for the nonlocal diffusion-wave equation in three dimensions. (English) Zbl 1496.65162 J. Appl. Math. Comput. 68, No. 5, 3067-3087 (2022). MSC: 65M60 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Huang} et al., J. Appl. Math. Comput. 68, No. 5, 3067--3087 (2022; Zbl 1496.65162) Full Text: DOI
Lyu, Pin; Vong, Seakweng A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations. (English) Zbl 1497.65130 J. Sci. Comput. 93, No. 1, Paper No. 34, 25 p. (2022). MSC: 65M06 65N06 65M50 65M12 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{P. Lyu} and \textit{S. Vong}, J. Sci. Comput. 93, No. 1, Paper No. 34, 25 p. (2022; Zbl 1497.65130) Full Text: DOI arXiv
Koike, Kai Refined pointwise estimates for solutions to the 1D barotropic compressible Navier-Stokes equations: an application to the long-time behavior of a point mass. (English) Zbl 1498.76082 J. Math. Fluid Mech. 24, No. 4, Paper No. 99, 50 p. (2022). Reviewer: Václav Mácha (Praha) MSC: 76N10 76N06 35Q30 PDFBibTeX XMLCite \textit{K. Koike}, J. Math. Fluid Mech. 24, No. 4, Paper No. 99, 50 p. (2022; Zbl 1498.76082) Full Text: DOI arXiv
Chen, Yanping; Gu, Qiling; Li, Qingfeng; Huang, Yunqing A two-grid finite element approximation for nonlinear time fractional two-term mixed sub-diffusion and diffusion wave equations. (English) Zbl 1513.65353 J. Comput. Math. 40, No. 6, 938-956 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 65M55 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Math. 40, No. 6, 938--956 (2022; Zbl 1513.65353) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 1524.65681 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65M70 65M06 35R11 65M12 65M60 26A33 65M99 65N35 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 1524.65681) Full Text: DOI
Pskhu, A. V. Green function of the first boundary-value problem for the fractional diffusion-wave equation in a multidimensional rectangular domain. (English. Russian original) Zbl 1491.35436 J. Math. Sci., New York 260, No. 3, 325-334 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 52-61 (2019). MSC: 35R11 35K20 35L20 PDFBibTeX XMLCite \textit{A. V. Pskhu}, J. Math. Sci., New York 260, No. 3, 325--334 (2022; Zbl 1491.35436); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 52--61 (2019) Full Text: DOI
Plekhanova, M. V. Strong solution and optimal control problems for a class of fractional linear equations. (English. Russian original) Zbl 1491.49006 J. Math. Sci., New York 260, No. 3, 315-324 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 42-51 (2019). MSC: 49J20 35R11 34G10 PDFBibTeX XMLCite \textit{M. V. Plekhanova}, J. Math. Sci., New York 260, No. 3, 315--324 (2022; Zbl 1491.49006); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 42--51 (2019) Full Text: DOI
Bhardwaj, Akanksha; Kumar, Alpesh; Tiwari, Awanish Kumar An RBF based finite difference method for the numerical approximation of multi-term nonlinear time fractional two dimensional diffusion-wave equation. (English) Zbl 1499.65553 Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 84, 25 p. (2022). MSC: 65M70 35R11 65D12 65M12 PDFBibTeX XMLCite \textit{A. Bhardwaj} et al., Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 84, 25 p. (2022; Zbl 1499.65553) Full Text: DOI
Zhang, Yun; Wei, Ting; Yan, Xiongbin Recovery of advection coefficient and fractional order in a time-fractional reaction-advection-diffusion-wave equation. (English) Zbl 1490.35545 J. Comput. Appl. Math. 411, Article ID 114254, 20 p. (2022). MSC: 35R30 35K20 35K57 35L20 35R11 65M32 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Comput. Appl. Math. 411, Article ID 114254, 20 p. (2022; Zbl 1490.35545) Full Text: DOI
Du, Hong; Chen, Zhong A new meshless method of solving 2D fractional diffusion-wave equations. (English) Zbl 1524.65646 Appl. Math. Lett. 130, Article ID 108004, 8 p. (2022). MSC: 65M70 35R11 65R20 PDFBibTeX XMLCite \textit{H. Du} and \textit{Z. Chen}, Appl. Math. Lett. 130, Article ID 108004, 8 p. (2022; Zbl 1524.65646) Full Text: DOI
Sadri, Khadijeh; Aminikhah, Hossein A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation. (English) Zbl 1513.65420 Int. J. Comput. Math. 99, No. 5, 966-992 (2022). MSC: 65M70 35R11 65M12 PDFBibTeX XMLCite \textit{K. Sadri} and \textit{H. Aminikhah}, Int. J. Comput. Math. 99, No. 5, 966--992 (2022; Zbl 1513.65420) Full Text: DOI
Ou, Caixia; Cen, Dakang; Vong, Seakweng; Wang, Zhibo Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations. (English) Zbl 1484.65187 Appl. Numer. Math. 177, 34-57 (2022). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{C. Ou} et al., Appl. Numer. Math. 177, 34--57 (2022; Zbl 1484.65187) Full Text: DOI
Zhang, Nangao Optimal convergence rates to diffusion waves for solutions of \(p\)-system with damping on quadrant. (English) Zbl 1485.35066 J. Math. Anal. Appl. 512, No. 1, Article ID 126118, 10 p. (2022). MSC: 35B40 35C06 35L50 35L60 PDFBibTeX XMLCite \textit{N. Zhang}, J. Math. Anal. Appl. 512, No. 1, Article ID 126118, 10 p. (2022; Zbl 1485.35066) Full Text: DOI
Wei, Ting; Luo, Yuhua A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation. (English) Zbl 07489711 Inverse Probl. 38, No. 4, Article ID 045001, 38 p. (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{T. Wei} and \textit{Y. Luo}, Inverse Probl. 38, No. 4, Article ID 045001, 38 p. (2022; Zbl 07489711) Full Text: DOI
Ishigaki, Yusuke On \( L^1\) estimates of solutions of compressible viscoelastic system. (English) Zbl 1484.76008 Discrete Contin. Dyn. Syst. 42, No. 4, 1835-1853 (2022). MSC: 76A10 76N10 35Q35 PDFBibTeX XMLCite \textit{Y. Ishigaki}, Discrete Contin. Dyn. Syst. 42, No. 4, 1835--1853 (2022; Zbl 1484.76008) Full Text: DOI arXiv
Liu, Qingqing; Peng, Hongyun; Wang, Zhi-An Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis. (English) Zbl 1483.35035 J. Differ. Equations 314, 251-286 (2022). MSC: 35B40 35B45 35G55 35K57 92C17 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Differ. Equations 314, 251--286 (2022; Zbl 1483.35035) Full Text: DOI arXiv
Zhou, Hua-Cheng; Wu, Ze-Hao; Guo, Bao-Zhu; Chen, Yangquan Boundary stabilization and disturbance rejection for an unstable time fractional diffusion-wave equation. (English) Zbl 1482.35263 ESAIM, Control Optim. Calc. Var. 28, Paper No. 7, 30 p. (2022). MSC: 35R11 35K20 35L20 37L15 93B52 93D15 93B51 PDFBibTeX XMLCite \textit{H.-C. Zhou} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 7, 30 p. (2022; Zbl 1482.35263) Full Text: DOI
Shen, Jinye; Gu, Xian-Ming Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations. (English) Zbl 1481.65153 Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 1179-1207 (2022). MSC: 65M06 65N06 65T50 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{J. Shen} and \textit{X.-M. Gu}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 1179--1207 (2022; Zbl 1481.65153) Full Text: DOI
Prakash, P.; Priyendhu, K. S.; Anjitha, K. M. Initial value problem for the \((2+1)\)-dimensional time-fractional generalized convection-reaction-diffusion wave equation: invariant subspaces and exact solutions. (English) Zbl 1499.35678 Comput. Appl. Math. 41, No. 1, Paper No. 30, 55 p. (2022). MSC: 35R11 35Bxx 35-XX 35Cxx PDFBibTeX XMLCite \textit{P. Prakash} et al., Comput. Appl. Math. 41, No. 1, Paper No. 30, 55 p. (2022; Zbl 1499.35678) Full Text: DOI arXiv
Wei, Ting; Xian, Jun Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition. (English) Zbl 1479.35957 J. Comput. Appl. Math. 404, Article ID 113910, 22 p. (2022). MSC: 35R30 35L20 35R11 65M32 PDFBibTeX XMLCite \textit{T. Wei} and \textit{J. Xian}, J. Comput. Appl. Math. 404, Article ID 113910, 22 p. (2022; Zbl 1479.35957) Full Text: DOI
Yong, Yan; Su, Junmei Asymptotic stability of diffusion wave for a semilinear wave equation with damping. (English) Zbl 1475.35068 J. Math. Anal. Appl. 506, No. 1, Article ID 125468, 32 p. (2022). MSC: 35B40 35L15 35L71 PDFBibTeX XMLCite \textit{Y. Yong} and \textit{J. Su}, J. Math. Anal. Appl. 506, No. 1, Article ID 125468, 32 p. (2022; Zbl 1475.35068) Full Text: DOI
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. (English) Zbl 1500.65087 J. Comput. Appl. Math. 399, Article ID 113712, 15 p. (2022). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65D32 35L05 86A05 26A33 35R11 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Comput. Appl. Math. 399, Article ID 113712, 15 p. (2022; Zbl 1500.65087) Full Text: DOI
Zhang, Yun; Wei, Ting; Zhang, Yuan-Xiang Simultaneous inversion of two initial values for a time-fractional diffusion-wave equation. (English) Zbl 07777687 Numer. Methods Partial Differ. Equations 37, No. 1, 24-43 (2021). MSC: 65M32 65M06 65N06 65K10 65J20 44A10 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 24--43 (2021; Zbl 07777687) Full Text: DOI
Kazakov, A. L.; Kuznetsov, P. A.; Spevak, L. F. Construction of solutions to the boundary value problem with singularity for a nonlinear parabolic system. (Russian. English summary) Zbl 1511.35082 Sib. Zh. Ind. Mat. 24, No. 4, 64-78 (2021); translation in J. Appl. Ind. Math. 15, No. 4, 616-626 (2021). MSC: 35C10 35K40 35K57 PDFBibTeX XMLCite \textit{A. L. Kazakov} et al., Sib. Zh. Ind. Mat. 24, No. 4, 64--78 (2021; Zbl 1511.35082); translation in J. Appl. Ind. Math. 15, No. 4, 616--626 (2021) Full Text: DOI MNR
Gao, Xinghua; Li, Hong; Liu, Yan Error estimation of finite element solution for a distributed-order diffusion-wave equation. (Chinese. English summary) Zbl 1513.65026 Math. Numer. Sin. 43, No. 4, 493-505 (2021). MSC: 65D17 65M12 65M60 PDFBibTeX XMLCite \textit{X. Gao} et al., Math. Numer. Sin. 43, No. 4, 493--505 (2021; Zbl 1513.65026) Full Text: DOI
Elmahdi, Emadidin Gahalla Mohmed; Huang, Jianfei Two linearized finite difference schemes for time fractional nonlinear diffusion-wave equations with fourth order derivative. (English) Zbl 1484.65179 AIMS Math. 6, No. 6, 6356-6376 (2021). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{E. G. M. Elmahdi} and \textit{J. Huang}, AIMS Math. 6, No. 6, 6356--6376 (2021; Zbl 1484.65179) Full Text: DOI
Kazakov, A. L.; Spevak, L. F. Exact and approximate solutions of a degenerate reaction-diffusion system. (English. Russian original) Zbl 1486.35107 J. Appl. Mech. Tech. Phys. 62, No. 4, 673-683 (2021); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 169-180 (2021). MSC: 35C05 35K57 35K40 PDFBibTeX XMLCite \textit{A. L. Kazakov} and \textit{L. F. Spevak}, J. Appl. Mech. Tech. Phys. 62, No. 4, 673--683 (2021; Zbl 1486.35107); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 169--180 (2021) Full Text: DOI
Du, Rui-Lian; Sun, Zhi-Zhong A fast temporal second-order compact ADI scheme for time fractional mixed diffusion-wave equations. (English) Zbl 1482.65141 East Asian J. Appl. Math. 11, No. 4, 647-673 (2021). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{R.-L. Du} and \textit{Z.-Z. Sun}, East Asian J. Appl. Math. 11, No. 4, 647--673 (2021; Zbl 1482.65141) Full Text: DOI
Khushtova, F. G. Third boundary value problem in a half-strip for the fractional diffusion equation. (English. Russian original) Zbl 1485.35394 Differ. Equ. 57, No. 12, 1610-1618 (2021); translation from Differ. Uravn. 57, No. 12, 1635-1643 (2021). MSC: 35R11 35A01 35A02 35C15 PDFBibTeX XMLCite \textit{F. G. Khushtova}, Differ. Equ. 57, No. 12, 1610--1618 (2021; Zbl 1485.35394); translation from Differ. Uravn. 57, No. 12, 1635--1643 (2021) Full Text: DOI
Yang, Fan; Sun, Qiao-Xi; Li, Xiao-Xiao Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain. (English) Zbl 07480134 Inverse Probl. Sci. Eng. 29, No. 12, 2306-2356 (2021). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Inverse Probl. Sci. Eng. 29, No. 12, 2306--2356 (2021; Zbl 07480134) Full Text: DOI
Liu, Haiyu; Lü, Shujuan; Jiang, Tao Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusion-wave equations. (English) Zbl 07479092 Int. J. Comput. Math. 98, No. 9, 1769-1791 (2021). MSC: 65-XX 35R11 65M70 65M06 65M12 PDFBibTeX XMLCite \textit{H. Liu} et al., Int. J. Comput. Math. 98, No. 9, 1769--1791 (2021; Zbl 07479092) Full Text: DOI
Kazakov, Aleksandr Leonidovich; Kuznetsov, Pavel Aleksandrovich Analytical diffusion wave-type solutions to a nonlinear parabolic system with cylindrical and spherical symmetry. (English) Zbl 1479.35177 Izv. Irkutsk. Gos. Univ., Ser. Mat. 37, 31-46 (2021). MSC: 35C05 35K51 35K57 35K58 PDFBibTeX XMLCite \textit{A. L. Kazakov} and \textit{P. A. Kuznetsov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 37, 31--46 (2021; Zbl 1479.35177) Full Text: DOI Link
Loreti, Paola; Sforza, Daniela Fractional diffusion-wave equations: hidden regularity for weak solutions. (English) Zbl 1498.35586 Fract. Calc. Appl. Anal. 24, No. 4, 1015-1034 (2021). MSC: 35R11 26A33 35L05 PDFBibTeX XMLCite \textit{P. Loreti} and \textit{D. Sforza}, Fract. Calc. Appl. Anal. 24, No. 4, 1015--1034 (2021; Zbl 1498.35586) Full Text: DOI arXiv
Li, Xiaolin; Li, Shuling A fast element-free Galerkin method for the fractional diffusion-wave equation. (English) Zbl 1524.35703 Appl. Math. Lett. 122, Article ID 107529, 7 p. (2021). MSC: 35R11 65N30 65M06 65M12 65N12 PDFBibTeX XMLCite \textit{X. Li} and \textit{S. Li}, Appl. Math. Lett. 122, Article ID 107529, 7 p. (2021; Zbl 1524.35703) Full Text: DOI
Qi, Bin; Cheng, Hao Identification of source term for fractional diffusion-wave equation with Neumann boundary conditions. (Chinese. English summary) Zbl 1488.65373 J. Shandong Univ., Nat. Sci. 56, No. 6, 64-73 (2021). MSC: 65M30 65M32 65M15 65J20 26A33 35R11 PDFBibTeX XMLCite \textit{B. Qi} and \textit{H. Cheng}, J. Shandong Univ., Nat. Sci. 56, No. 6, 64--73 (2021; Zbl 1488.65373)
Jiang, Su-Zhen; Wu, Yu-Jiang Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method. (English) Zbl 1473.65167 Inverse Probl. Sci. Eng. 29, No. 7, 990-1011 (2021). MSC: 65M32 65M12 65M22 35R11 PDFBibTeX XMLCite \textit{S.-Z. Jiang} and \textit{Y.-J. Wu}, Inverse Probl. Sci. Eng. 29, No. 7, 990--1011 (2021; Zbl 1473.65167) Full Text: DOI
Wu, Lifei; Pan, Yueyue; Yang, Xiaozhong An efficient alternating segment parallel finite difference method for multi-term time fractional diffusion-wave equation. (English) Zbl 1476.65195 Comput. Appl. Math. 40, No. 2, Paper No. 67, 20 p. (2021). MSC: 65M06 65M12 65Y05 PDFBibTeX XMLCite \textit{L. Wu} et al., Comput. Appl. Math. 40, No. 2, Paper No. 67, 20 p. (2021; Zbl 1476.65195) Full Text: DOI
Kobayashi, Takayuki; Tsuda, Kazuyuki Time decay estimate with diffusion wave property and smoothing effect for solutions to the compressible Navier-Stokes-Korteweg system. (English) Zbl 1479.35619 Funkc. Ekvacioj, Ser. Int. 64, No. 2, 163-187 (2021). MSC: 35Q30 76N10 35B65 PDFBibTeX XMLCite \textit{T. Kobayashi} and \textit{K. Tsuda}, Funkc. Ekvacioj, Ser. Int. 64, No. 2, 163--187 (2021; Zbl 1479.35619) Full Text: DOI arXiv
Yu, Bo High-order compact finite difference method for the multi-term time fractional mixed diffusion and diffusion-wave equation. (English) Zbl 1473.65127 Math. Methods Appl. Sci. 44, No. 8, 6526-6539 (2021). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{B. Yu}, Math. Methods Appl. Sci. 44, No. 8, 6526--6539 (2021; Zbl 1473.65127) Full Text: DOI
Wu, Li-Fei; Yang, Xiao-Zhong; Li, Min A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping. (English) Zbl 1482.65155 Acta Math. Appl. Sin., Engl. Ser. 37, No. 3, 602-616 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 65M15 65Y05 26A33 35R11 PDFBibTeX XMLCite \textit{L.-F. Wu} et al., Acta Math. Appl. Sin., Engl. Ser. 37, No. 3, 602--616 (2021; Zbl 1482.65155) Full Text: DOI
Pimenov, Vladimir Germanovich; Tashirova, Ekaterina Evgen’evna Numerical method for fractional diffusion-wave equations with functional delay. (Russian. English summary) Zbl 1473.65119 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 57, 156-169 (2021). MSC: 65M06 65M12 65M15 65Q20 PDFBibTeX XMLCite \textit{V. G. Pimenov} and \textit{E. E. Tashirova}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 57, 156--169 (2021; Zbl 1473.65119) Full Text: DOI MNR
Yamamoto, M. Uniqueness in determining fractional orders of derivatives and initial values. (English) Zbl 1478.35227 Inverse Probl. 37, No. 9, Article ID 095006, 34 p. (2021). Reviewer: Nelson Vieira (Aveiro) MSC: 35R11 26A33 35R30 34A55 35K57 35K20 35A02 PDFBibTeX XMLCite \textit{M. Yamamoto}, Inverse Probl. 37, No. 9, Article ID 095006, 34 p. (2021; Zbl 1478.35227) Full Text: DOI
Mohammadi-Firouzjaei, Hadi; Adibi, Hojatollah; Dehghan, Mehdi Local discontinuous Galerkin method for distributed-order time-fractional diffusion-wave equation: application of Laplace transform. (English) Zbl 1473.65210 Math. Methods Appl. Sci. 44, No. 6, 4923-4937 (2021). MSC: 65M60 65R10 35R11 PDFBibTeX XMLCite \textit{H. Mohammadi-Firouzjaei} et al., Math. Methods Appl. Sci. 44, No. 6, 4923--4937 (2021; Zbl 1473.65210) Full Text: DOI
Heydari, M. H.; Avazzadeh, Z. Orthonormal Bernstein polynomials for solving nonlinear variable-order time fractional fourth-order diffusion-wave equation with nonsingular fractional derivative. (English) Zbl 1490.65220 Math. Methods Appl. Sci. 44, No. 4, 3098-3110 (2021). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{Z. Avazzadeh}, Math. Methods Appl. Sci. 44, No. 4, 3098--3110 (2021; Zbl 1490.65220) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar The Galerkin spectral element method for the solution of two-dimensional multiterm time fractional diffusion-wave equation. (English) Zbl 1473.65242 Math. Methods Appl. Sci. 44, No. 4, 2842-2858 (2021). MSC: 65M70 35R11 65M06 65M12 65M60 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Math. Methods Appl. Sci. 44, No. 4, 2842--2858 (2021; Zbl 1473.65242) Full Text: DOI
Ferreira, Milton; Luchko, Yury; Rodrigues, M. Manuela; Vieira, Nelson Eigenfunctions of the time-fractional diffusion-wave operator. (English) Zbl 1470.35393 Math. Methods Appl. Sci. 44, No. 2, 1713-1743 (2021). MSC: 35R11 26A33 35C10 35C15 35L15 35P05 33C65 PDFBibTeX XMLCite \textit{M. Ferreira} et al., Math. Methods Appl. Sci. 44, No. 2, 1713--1743 (2021; Zbl 1470.35393) Full Text: DOI
Sun, Yinan; Zhang, Tie A finite difference/finite volume method for solving the fractional diffusion wave equation. (English) Zbl 1481.65155 J. Korean Math. Soc. 58, No. 3, 553-569 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65N08 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{T. Zhang}, J. Korean Math. Soc. 58, No. 3, 553--569 (2021; Zbl 1481.65155) Full Text: DOI