Qi, Ren-Jun; Sun, Zhi-Zhong A fast temporal second order difference scheme for the fractional sub-diffusion equations on one dimensional space unbounded domain. (English) Zbl 07809588 J. Math. Study 56, No. 2, 173-205 (2023). MSC: 65M06 65M12 65M15 65M99 PDFBibTeX XMLCite \textit{R.-J. Qi} and \textit{Z.-Z. Sun}, J. Math. Study 56, No. 2, 173--205 (2023; Zbl 07809588) Full Text: DOI
Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. (English) Zbl 07776962 Numer. Methods Partial Differ. Equations 39, No. 2, 1266-1286 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1266--1286 (2023; Zbl 07776962) Full Text: DOI
Qi, Ren-jun; Sun, Zhi-zhong Some numerical extrapolation methods for the fractional sub-diffusion equation and fractional wave equation based on the \(L1\) formula. (English) Zbl 1513.65304 Commun. Appl. Math. Comput. 4, No. 4, 1313-1350 (2022). MSC: 65M06 65N06 65B05 65M12 65M15 26A33 35R11 35C20 60K50 PDFBibTeX XMLCite \textit{R.-j. Qi} and \textit{Z.-z. Sun}, Commun. Appl. Math. Comput. 4, No. 4, 1313--1350 (2022; Zbl 1513.65304) Full Text: DOI
Du, Rui-lian; Sun, Zhi-zhong; Wang, Hong Temporal second-order finite difference schemes for variable-order time-fractional wave equations. (English) Zbl 1481.65128 SIAM J. Numer. Anal. 60, No. 1, 104-132 (2022). MSC: 65M06 65N06 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{R.-l. Du} et al., SIAM J. Numer. Anal. 60, No. 1, 104--132 (2022; Zbl 1481.65128) 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
Zhang, Qifeng; Hesthaven, Jan S.; Sun, Zhi-zhong; Ren, Yunzhu Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. (English) Zbl 1480.65230 Adv. Comput. Math. 47, No. 3, Paper No. 35, 33 p. (2021). MSC: 65M06 65M12 65M15 26A33 35R11 35Q56 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Adv. Comput. Math. 47, No. 3, Paper No. 35, 33 p. (2021; Zbl 1480.65230) Full Text: DOI Link
Sun, Hong; Sun, Zhi-zhong A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. (English) Zbl 1461.65231 Numer. Algorithms 86, No. 2, 761-797 (2021). MSC: 65M06 65M12 35R11 35A02 35L05 PDFBibTeX XMLCite \textit{H. Sun} and \textit{Z.-z. Sun}, Numer. Algorithms 86, No. 2, 761--797 (2021; Zbl 1461.65231) Full Text: DOI
Du, Ruilian; Alikhanov, Anatoly A.; Sun, Zhi-Zhong Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. (English) Zbl 1447.65020 Comput. Math. Appl. 79, No. 10, 2952-2972 (2020). MSC: 65M06 65N06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{R. Du} et al., Comput. Math. Appl. 79, No. 10, 2952--2972 (2020; Zbl 1447.65020) Full Text: DOI
Shen, Jinye; Li, Changpin; Sun, Zhi-zhong An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension. (English) Zbl 1439.65098 J. Sci. Comput. 83, No. 2, Paper No. 38, 29 p. (2020). MSC: 65M06 65N06 65M12 65M15 65D05 26A33 35R11 PDFBibTeX XMLCite \textit{J. Shen} et al., J. Sci. Comput. 83, No. 2, Paper No. 38, 29 p. (2020; Zbl 1439.65098) Full Text: DOI
Sun, Zhi-zhong; Ji, Cui-cui; Du, Ruilian A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. (English) Zbl 1524.35717 Appl. Math. Lett. 102, Article ID 106115, 7 p. (2020). MSC: 35R11 65M06 65M12 65R20 45K05 PDFBibTeX XMLCite \textit{Z.-z. Sun} et al., Appl. Math. Lett. 102, Article ID 106115, 7 p. (2020; Zbl 1524.35717) Full Text: DOI
Sun, Zhi-zhong; Gao, Guang-hua Fractional differential equations. Finite difference methods. (English) Zbl 1440.65003 Berlin: De Gruyter; Beijing: Science Press (ISBN 978-3-11-061517-3/hbk; 978-3-11-061606-4/ebook). xvi, 380 p. (2020). MSC: 65-01 65N06 65M06 65L12 35-01 35R11 34-01 34A08 PDFBibTeX XMLCite \textit{Z.-z. Sun} and \textit{G.-h. Gao}, Fractional differential equations. Finite difference methods. Berlin: De Gruyter; Beijing: Science Press (2020; Zbl 1440.65003) Full Text: DOI
Sun, Hong; Sun, Zhizhong; Du, Rui A linearized second-order difference scheme for the nonlinear time-fractional fourth-order reaction-diffusion equation. (English) Zbl 1463.65250 Numer. Math., Theory Methods Appl. 12, No. 4, 1168-1190 (2019). MSC: 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{H. Sun} et al., Numer. Math., Theory Methods Appl. 12, No. 4, 1168--1190 (2019; Zbl 1463.65250) Full Text: DOI
Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film. (English) Zbl 1434.65120 J. Sci. Comput. 81, No. 3, 1767-1800 (2019). MSC: 65M06 65M12 65M15 80A19 76A20 35R11 82D37 35Q79 PDFBibTeX XMLCite \textit{C.-c. Ji} et al., J. Sci. Comput. 81, No. 3, 1767--1800 (2019; Zbl 1434.65120) Full Text: DOI
Shen, Jinye; Sun, Zhi-zhong; Cao, Wanrong A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation. (English) Zbl 1429.65199 Appl. Math. Comput. 361, 752-765 (2019). MSC: 65M06 35Q53 35R11 65M12 PDFBibTeX XMLCite \textit{J. Shen} et al., Appl. Math. Comput. 361, 752--765 (2019; Zbl 1429.65199) Full Text: DOI
Sun, Hong; Zhao, Xuan; Sun, Zhi-Zhong The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation. (English) Zbl 1437.35696 J. Sci. Comput. 78, No. 1, 467-498 (2019). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 35R11 65N06 35L05 35J05 45K05 60J60 60G50 60G51 42A38 PDFBibTeX XMLCite \textit{H. Sun} et al., J. Sci. Comput. 78, No. 1, 467--498 (2019; Zbl 1437.35696) Full Text: DOI
Shen, Jin-Ye; Sun, Zhi-Zhong; Du, Rui Fast finite difference schemes for time-fractional diffusion equations with a weak singularity at initial time. (English) Zbl 1468.65110 East Asian J. Appl. Math. 8, No. 4, 834-858 (2018). MSC: 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{J.-Y. Shen} et al., East Asian J. Appl. Math. 8, No. 4, 834--858 (2018; Zbl 1468.65110) Full Text: DOI
Sun, Zhi-Zhong; Zhang, Jiwei; Zhang, Zhimin Optimal error estimates in numerical solution of time fractional Schrödinger equations on unbounded domains. (English) Zbl 1468.65111 East Asian J. Appl. Math. 8, No. 4, 634-655 (2018). MSC: 65M06 65M15 65M12 35Q41 35R11 PDFBibTeX XMLCite \textit{Z.-Z. Sun} et al., East Asian J. Appl. Math. 8, No. 4, 634--655 (2018; Zbl 1468.65111) Full Text: DOI Link
Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition. (English) Zbl 1422.65158 J. Sci. Comput. 75, No. 3, 1307-1336 (2018). MSC: 65M06 80A20 35K05 65M12 82D37 82D80 35R11 PDFBibTeX XMLCite \textit{C.-c. Ji} et al., J. Sci. Comput. 75, No. 3, 1307--1336 (2018; Zbl 1422.65158) Full Text: DOI
Zhu, Yun; Sun, Zhi-Zhong A high-order difference scheme for the space and time fractional Bloch-Torrey equation. (English) Zbl 1382.65262 Comput. Methods Appl. Math. 18, No. 1, 147-164 (2018). MSC: 65M06 35Q40 35R11 65M12 PDFBibTeX XMLCite \textit{Y. Zhu} and \textit{Z.-Z. Sun}, Comput. Methods Appl. Math. 18, No. 1, 147--164 (2018; Zbl 1382.65262) Full Text: DOI
Yan, Yonggui; Sun, Zhi-Zhong; Zhang, Jiwei Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme. (English) Zbl 1488.65306 Commun. Comput. Phys. 22, No. 4, 1028-1048 (2017). MSC: 65M06 65M12 26A33 33F05 34A08 35R11 PDFBibTeX XMLCite \textit{Y. Yan} et al., Commun. Comput. Phys. 22, No. 4, 1028--1048 (2017; Zbl 1488.65306) Full Text: DOI
Ji, Cuicui; Sun, Zhizhong An unconditionally stable and high-order convergent difference scheme for Stokes’ first problem for a heated generalized second grade fluid with fractional derivative. (English) Zbl 1399.65154 Numer. Math., Theory Methods Appl. 10, No. 3, 597-613 (2017). MSC: 65M06 65M12 35R11 76M20 76A05 76D07 PDFBibTeX XMLCite \textit{C. Ji} and \textit{Z. Sun}, Numer. Math., Theory Methods Appl. 10, No. 3, 597--613 (2017; Zbl 1399.65154) Full Text: DOI
Gao, Guang-hua; Alikhanov, Anatoly A.; Sun, Zhi-zhong The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations. (English) Zbl 1381.65064 J. Sci. Comput. 73, No. 1, 93-121 (2017). MSC: 65M06 35K20 35R11 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., J. Sci. Comput. 73, No. 1, 93--121 (2017; Zbl 1381.65064) Full Text: DOI
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong A high-order difference scheme for the fractional sub-diffusion equation. (English) Zbl 1364.65164 Int. J. Comput. Math. 94, No. 2, 405-426 (2017). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{Z.-P. Hao} et al., Int. J. Comput. Math. 94, No. 2, 405--426 (2017; Zbl 1364.65164) Full Text: DOI
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
Hao, Zhao-Peng; Sun, Zhi-Zhong A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. (English) Zbl 1359.65150 Numer. Methods Partial Differ. Equations 33, No. 1, 105-124 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M06 65M15 65T50 35Q56 35R11 PDFBibTeX XMLCite \textit{Z.-P. Hao} and \textit{Z.-Z. Sun}, Numer. Methods Partial Differ. Equations 33, No. 1, 105--124 (2017; Zbl 1359.65150) Full Text: DOI
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong New approximations for solving the Caputo-type fractional partial differential equations. (English) Zbl 1452.65176 Appl. Math. Modelling 40, No. 4, 2625-2636 (2016). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{J. Ren} et al., Appl. Math. Modelling 40, No. 4, 2625--2636 (2016; Zbl 1452.65176) Full Text: DOI
Sun, Hong; Sun, Zhizhong; Gao, Guanghua Some high order difference schemes for the space and time fractional Bloch-Torrey equations. (English) Zbl 1410.65329 Appl. Math. Comput. 281, 356-380 (2016). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{H. Sun} et al., Appl. Math. Comput. 281, 356--380 (2016; Zbl 1410.65329) Full Text: DOI
Hao, Zhaopeng; Fan, Kai; Cao, Wanrong; Sun, Zhizhong A finite difference scheme for semilinear space-fractional diffusion equations with time delay. (English) Zbl 1410.65310 Appl. Math. Comput. 275, 238-254 (2016). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Z. Hao} et al., Appl. Math. Comput. 275, 238--254 (2016; Zbl 1410.65310) Full Text: DOI
Du, Rui; Hao, Zhao-Peng; Sun, Zhi-Zhong Lubich second-order methods for distributed-order time-fractional differential equations with smooth solutions. (English) Zbl 1457.65047 East Asian J. Appl. Math. 6, No. 2, 131-151 (2016). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{R. Du} et al., East Asian J. Appl. Math. 6, No. 2, 131--151 (2016; Zbl 1457.65047) Full Text: DOI
Gao, Guang-hua; Sun, Zhi-zhong Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. (English) Zbl 1373.65055 J. Sci. Comput. 66, No. 3, 1281-1312 (2016). Reviewer: Charis Harley (Johannesburg) MSC: 65M06 35K05 35R11 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} and \textit{Z.-z. Sun}, J. Sci. Comput. 66, No. 3, 1281--1312 (2016; Zbl 1373.65055) Full Text: DOI
Ji, Cui-cui; Sun, Zhi-zhong; Hao, Zhao-peng Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions. (English) Zbl 1373.65057 J. Sci. Comput. 66, No. 3, 1148-1174 (2016). Reviewer: Charis Harley (Johannesburg) MSC: 65M06 35K05 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{C.-c. Ji} et al., J. Sci. Comput. 66, No. 3, 1148--1174 (2016; Zbl 1373.65057) Full Text: DOI
Gao, Guang-hua; Sun, Zhi-zhong Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations. (English) Zbl 1372.65230 J. Sci. Comput. 69, No. 2, 506-531 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M06 35L05 35R11 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} and \textit{Z.-z. Sun}, J. Sci. Comput. 69, No. 2, 506--531 (2016; Zbl 1372.65230) Full Text: DOI
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua Some temporal second order difference schemes for fractional wave equations. (English) Zbl 1352.65269 Numer. Methods Partial Differ. Equations 32, No. 3, 970-1001 (2016). Reviewer: Petr Sváček (Praha) MSC: 65M06 35L05 35R11 65M12 PDFBibTeX XMLCite \textit{H. Sun} et al., Numer. Methods Partial Differ. Equations 32, No. 3, 970--1001 (2016; Zbl 1352.65269) Full Text: DOI
Gao, Guang-Hua; Sun, Zhi-Zhong Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations. (English) Zbl 1339.65115 Numer. Methods Partial Differ. Equations 32, No. 2, 591-615 (2016). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{G.-H. Gao} and \textit{Z.-Z. Sun}, Numer. Methods Partial Differ. Equations 32, No. 2, 591--615 (2016; Zbl 1339.65115) 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
Ji, Cui-cui; Sun, Zhi-zhong The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation. (English) Zbl 1410.65315 Appl. Math. Comput. 269, 775-791 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{C.-c. Ji} and \textit{Z.-z. Sun}, Appl. Math. Comput. 269, 775--791 (2015; Zbl 1410.65315) Full Text: DOI
Hao, Zhao-peng; Sun, Zhi-zhong; Cao, Wan-rong A fourth-order approximation of fractional derivatives with its applications. (English) Zbl 1352.65238 J. Comput. Phys. 281, 787-805 (2015). MSC: 65M06 35R11 65D25 PDFBibTeX XMLCite \textit{Z.-p. Hao} et al., J. Comput. Phys. 281, 787--805 (2015; Zbl 1352.65238) Full Text: DOI
Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong Some high-order difference schemes for the distributed-order differential equations. (English) Zbl 1349.65296 J. Comput. Phys. 298, 337-359 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., J. Comput. Phys. 298, 337--359 (2015; Zbl 1349.65296) Full Text: DOI
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em Second-order approximations for variable order fractional derivatives: algorithms and applications. (English) Zbl 1349.65092 J. Comput. Phys. 293, 184-200 (2015). MSC: 65D25 35R11 65M70 PDFBibTeX XMLCite \textit{X. Zhao} et al., J. Comput. Phys. 293, 184--200 (2015; Zbl 1349.65092) Full Text: DOI
Gao, Guang-Hua; Sun, Hai-Wei; Sun, Zhi-Zhong Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. (English) Zbl 1349.65295 J. Comput. Phys. 280, 510-528 (2015). MSC: 65M06 34A33 35R11 65M12 PDFBibTeX XMLCite \textit{G.-H. Gao} et al., J. Comput. Phys. 280, 510--528 (2015; Zbl 1349.65295) Full Text: DOI
Ren, Jincheng; Sun, Zhi-zhong Maximum norm error analysis of difference schemes for fractional diffusion equations. (English) Zbl 1339.65136 Appl. Math. Comput. 256, 299-314 (2015). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{J. Ren} and \textit{Z.-z. Sun}, Appl. Math. Comput. 256, 299--314 (2015; Zbl 1339.65136) Full Text: DOI
Ji, Cui-cui; Sun, Zhi-zhong A high-order compact finite difference scheme for the fractional sub-diffusion equation. (English) Zbl 1328.65176 J. Sci. Comput. 64, No. 3, 959-985 (2015). Reviewer: Kai Diethelm (Braunschweig) MSC: 65M06 65M12 35K05 35R11 PDFBibTeX XMLCite \textit{C.-c. Ji} and \textit{Z.-z. Sun}, J. Sci. Comput. 64, No. 3, 959--985 (2015; Zbl 1328.65176) Full Text: DOI
Zhao, Xuan; Sun, Zhi-Zhong Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium. (English) Zbl 1319.65084 J. Sci. Comput. 62, No. 3, 747-771 (2015). MSC: 65M06 35K20 65M12 35R11 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Z.-Z. Sun}, J. Sci. Comput. 62, No. 3, 747--771 (2015; Zbl 1319.65084) Full Text: DOI
Ren, Jincheng; Sun, Zhi-Zhong Efficient numerical solution of the multi-term time fractional diffusion-wave equation. (English) Zbl 1322.65088 East Asian J. Appl. Math. 5, No. 1, 1-28 (2015). Reviewer: Anouar Ben Mabrouk (Sousse) MSC: 65M06 65M12 65M15 35M10 35R11 PDFBibTeX XMLCite \textit{J. Ren} and \textit{Z.-Z. Sun}, East Asian J. Appl. Math. 5, No. 1, 1--28 (2015; Zbl 1322.65088) Full Text: DOI
Zhang, Ya-nan; Sun, Zhi-zhong; Liao, Hong-lin Finite difference methods for the time fractional diffusion equation on non-uniform meshes. (English) Zbl 1349.65359 J. Comput. Phys. 265, 195-210 (2014). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Y.-n. Zhang} et al., J. Comput. Phys. 265, 195--210 (2014; Zbl 1349.65359) Full Text: DOI
Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Hong-wei A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. (English) Zbl 1349.65088 J. Comput. Phys. 259, 33-50 (2014). MSC: 65D25 34A08 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., J. Comput. Phys. 259, 33--50 (2014; Zbl 1349.65088) Full Text: DOI
Zhao, Xuan; Sun, Zhi-Zhong; Hao, Zhao-Peng A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation. (English) Zbl 1328.65187 SIAM J. Sci. Comput. 36, No. 6, A2865-A2886 (2014). MSC: 65M06 26A33 35R11 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{X. Zhao} et al., SIAM J. Sci. Comput. 36, No. 6, A2865--A2886 (2014; Zbl 1328.65187) Full Text: DOI
Ren, Jincheng; Sun, Zhi-Zhong Efficient and stable numerical methods for multi-term time fractional sub-diffusion equations. (English) Zbl 1320.65120 East Asian J. Appl. Math. 4, No. 3, 242-266 (2014). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M06 65M12 65M15 35K05 35R11 PDFBibTeX XMLCite \textit{J. Ren} and \textit{Z.-Z. Sun}, East Asian J. Appl. Math. 4, No. 3, 242--266 (2014; Zbl 1320.65120) Full Text: DOI
Zhang, Ya-Nan; Sun, Zhi-Zhong Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation. (English) Zbl 1304.65208 J. Sci. Comput. 59, No. 1, 104-128 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 65M15 65M06 65M12 35K20 35R11 PDFBibTeX XMLCite \textit{Y.-N. Zhang} and \textit{Z.-Z. Sun}, J. Sci. Comput. 59, No. 1, 104--128 (2014; Zbl 1304.65208) Full Text: DOI
Ren, Jincheng; Sun, Zhi-Zhong; Zhao, Xuan Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions. (English) Zbl 1291.35428 J. Comput. Phys. 232, 456-467 (2013). MSC: 35R11 35N15 35K05 65M06 65M12 PDFBibTeX XMLCite \textit{J. Ren} et al., J. Comput. Phys. 232, 456--467 (2013; Zbl 1291.35428) Full Text: DOI
Gao, Guang-Hua; Sun, Zhi-Zhong The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. (English) Zbl 1286.35251 J. Comput. Phys. 236, 443-460 (2013). MSC: 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{G.-H. Gao} and \textit{Z.-Z. Sun}, J. Comput. Phys. 236, 443--460 (2013; Zbl 1286.35251) Full Text: DOI
Ren, Jincheng; Sun, Zhi-zhong Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions. (English) Zbl 1281.65113 J. Sci. Comput. 56, No. 2, 381-408 (2013). Reviewer: Martina Wirz (Braunschweig) MSC: 65M06 65M12 65M15 35M12 35R11 PDFBibTeX XMLCite \textit{J. Ren} and \textit{Z.-z. Sun}, J. Sci. Comput. 56, No. 2, 381--408 (2013; Zbl 1281.65113) Full Text: DOI
Zhang, Ya-Nan; Sun, Zhi-Zhong; Zhao, Xuan Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation. (English) Zbl 1251.65126 SIAM J. Numer. Anal. 50, No. 3, 1535-1555 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65M06 65M12 65M15 35R11 35L05 PDFBibTeX XMLCite \textit{Y.-N. Zhang} et al., SIAM J. Numer. Anal. 50, No. 3, 1535--1555 (2012; Zbl 1251.65126) Full Text: DOI
Gao, Guang-hua; Sun, Zhi-zhong A finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space. (English) Zbl 1254.65014 Cent. Eur. J. Math. 10, No. 1, 101-115 (2012). MSC: 65C30 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{G.-h. Gao} and \textit{Z.-z. Sun}, Cent. Eur. J. Math. 10, No. 1, 101--115 (2012; Zbl 1254.65014) Full Text: DOI
Gao, Guang-Hua; Sun, Zhi-Zhong; Zhang, Ya-Nan A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. (English) Zbl 1242.65160 J. Comput. Phys. 231, No. 7, 2865-2879 (2012). MSC: 65M06 65M12 35K05 35R11 PDFBibTeX XMLCite \textit{G.-H. Gao} et al., J. Comput. Phys. 231, No. 7, 2865--2879 (2012; Zbl 1242.65160) Full Text: DOI
Zhang, Ya-Nan; Sun, Zhi-Zhong Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation. (English) Zbl 1242.65174 J. Comput. Phys. 230, No. 24, 8713-8728 (2011). MSC: 65M06 35R06 35R11 65M12 PDFBibTeX XMLCite \textit{Y.-N. Zhang} and \textit{Z.-Z. Sun}, J. Comput. Phys. 230, No. 24, 8713--8728 (2011; Zbl 1242.65174) Full Text: DOI
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. (English) Zbl 1251.65132 SIAM J. Numer. Anal. 49, No. 6, 2302-2322 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M06 65M12 35R11 35K05 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Numer. Anal. 49, No. 6, 2302--2322 (2011; Zbl 1251.65132) Full Text: DOI
Zhao, Xuan; Sun, Zhi-Zhong A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions. (English) Zbl 1227.65075 J. Comput. Phys. 230, No. 15, 6061-6074 (2011). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M06 65M15 65M12 35R11 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Z.-Z. Sun}, J. Comput. Phys. 230, No. 15, 6061--6074 (2011; Zbl 1227.65075) Full Text: DOI
Gao, Guanghua; Sun, Zhizhong A compact finite difference scheme for the fractional sub-diffusion equations. (English) Zbl 1211.65112 J. Comput. Phys. 230, No. 3, 586-595 (2011). Reviewer: Damian Słota (Gliwice) MSC: 65M06 35K05 35R11 65M12 PDFBibTeX XMLCite \textit{G. Gao} and \textit{Z. Sun}, J. Comput. Phys. 230, No. 3, 586--595 (2011; Zbl 1211.65112) Full Text: DOI
Du, R.; Cao, W. R.; Sun, Z. Z. A compact difference scheme for the fractional diffusion-wave equation. (English) Zbl 1201.65154 Appl. Math. Modelling 34, No. 10, 2998-3007 (2010). MSC: 65M06 34A08 26A33 45K05 PDFBibTeX XMLCite \textit{R. Du} et al., Appl. Math. Modelling 34, No. 10, 2998--3007 (2010; Zbl 1201.65154) Full Text: DOI