Rebiai, Belgacem; Haouam, Kamel Nonexistence of global solutions to a nonlinear fractional reaction-diffusion system. (English) Zbl 1512.35630 IAENG, Int. J. Appl. Math. 45, No. 4, 259-262 (2015). MSC: 35R11 35A01 35B33 35K57 PDFBibTeX XMLCite \textit{B. Rebiai} and \textit{K. Haouam}, IAENG, Int. J. Appl. Math. 45, No. 4, 259--262 (2015; Zbl 1512.35630)
Pucci, Patrizia An overview on two degenerate Kirchhoff wave problems involving fractional Laplacian operators. (English) Zbl 1499.35274 Int. J. Evol. Equ. 10, No. 3-4, 411-436 (2015). MSC: 35J60 35K92 35B33 35R11 PDFBibTeX XMLCite \textit{P. Pucci}, Int. J. Evol. Equ. 10, No. 3--4, 411--436 (2015; Zbl 1499.35274)
Dieterich, Peter; Klages, Rainer; Chechkin, Aleksei V. Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations. (English) Zbl 1452.35239 New J. Phys. 17, No. 7, Article ID 075004, 14 p. (2015). MSC: 35R11 35Q84 82C31 PDFBibTeX XMLCite \textit{P. Dieterich} et al., New J. Phys. 17, No. 7, Article ID 075004, 14 p. (2015; Zbl 1452.35239) Full Text: DOI arXiv
Liu, Yang; Du, Yanwei; Li, Hong; Li, Jichun; He, Siriguleng A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative. (English) Zbl 1443.65210 Comput. Math. Appl. 70, No. 10, 2474-2492 (2015). MSC: 65M60 65M12 65M22 65M55 35R11 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 70, No. 10, 2474--2492 (2015; Zbl 1443.65210) Full Text: DOI
Liu, Yang; Du, Yanwei; Li, Hong; He, Siriguleng; Gao, Wei Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem. (English) Zbl 1443.65209 Comput. Math. Appl. 70, No. 4, 573-591 (2015). MSC: 65M60 65M12 65M15 35K57 35R11 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 70, No. 4, 573--591 (2015; Zbl 1443.65209) Full Text: DOI
Yan, Liang; Yang, Fenglian The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition. (English) Zbl 1443.65256 Comput. Math. Appl. 70, No. 3, 254-264 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{L. Yan} and \textit{F. Yang}, Comput. Math. Appl. 70, No. 3, 254--264 (2015; Zbl 1443.65256) Full Text: DOI
Povstenko, Yuriy; Klekot, Joanna The Dirichlet problem for the time-fractional advection-diffusion equation in a half-space. (English) Zbl 07251888 J. Appl. Math. Comput. Mech. 14, No. 2, 73-83 (2015). MSC: 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Povstenko} and \textit{J. Klekot}, J. Appl. Math. Comput. Mech. 14, No. 2, 73--83 (2015; Zbl 07251888) Full Text: DOI
Gómez-Aguilar, J. F.; Miranda-Hernández, M.; López-López, M. G.; Alvarado-Martínez, V. M.; Baleanu, D. Modeling and simulation of the fractional space-time diffusion equation. (English) Zbl 1489.78003 Commun. Nonlinear Sci. Numer. Simul. 30, No. 1-3, 115-127 (2015). MSC: 78A25 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Commun. Nonlinear Sci. Numer. Simul. 30, No. 1--3, 115--127 (2015; Zbl 1489.78003) Full Text: DOI
Płociniczak, Łukasz Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications. (English) Zbl 1440.76148 Commun. Nonlinear Sci. Numer. Simul. 24, No. 1-3, 169-183 (2015). MSC: 76S05 35R11 35K55 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, Commun. Nonlinear Sci. Numer. Simul. 24, No. 1--3, 169--183 (2015; Zbl 1440.76148) Full Text: DOI arXiv
Stanislavsky, Aleksander; Weron, Karina; Weron, Aleksander Anomalous diffusion approach to non-exponential relaxation in complex physical systems. (English) Zbl 1463.82002 Commun. Nonlinear Sci. Numer. Simul. 24, No. 1-3, 117-126 (2015). MSC: 82C31 33E12 60E07 82C70 26A33 82C41 PDFBibTeX XMLCite \textit{A. Stanislavsky} et al., Commun. Nonlinear Sci. Numer. Simul. 24, No. 1--3, 117--126 (2015; Zbl 1463.82002) Full Text: DOI
Abbas, Ibrahim A. Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity. (English) Zbl 1443.74005 Appl. Math. Modelling 39, No. 20, 6196-6206 (2015). MSC: 74-10 74F05 PDFBibTeX XMLCite \textit{I. A. Abbas}, Appl. Math. Modelling 39, No. 20, 6196--6206 (2015; Zbl 1443.74005) Full Text: DOI
Wang, Jun-Gang; Wei, Ting Quasi-reversibility method to identify a space-dependent source for the time-fractional diffusion equation. (English) Zbl 1443.35198 Appl. Math. Modelling 39, No. 20, 6139-6149 (2015). MSC: 35R30 35R11 PDFBibTeX XMLCite \textit{J.-G. Wang} and \textit{T. Wei}, Appl. Math. Modelling 39, No. 20, 6139--6149 (2015; Zbl 1443.35198) Full Text: DOI
Stynes, Martin; Gracia, José Luis Blow-up of solutions and interior layers in a Caputo two-point boundary value problem. (English) Zbl 1427.65123 Knobloch, Petr (ed.), Boundary and interior layers, computational and asymptotic methods – BAIL 2014. Proceedings of the conference, Prague, Czech Republic, September 15–19, 2014. Cham: Springer. Lect. Notes Comput. Sci. Eng. 108, 293-302 (2015). MSC: 65L10 34A08 PDFBibTeX XMLCite \textit{M. Stynes} and \textit{J. L. Gracia}, Lect. Notes Comput. Sci. Eng. 108, 293--302 (2015; Zbl 1427.65123) Full Text: DOI
Gracia, José Luis; Stynes, Martin Boundary layers in a Riemann-Liouville fractional derivative two-point boundary value problem. (English) Zbl 1427.65119 Knobloch, Petr (ed.), Boundary and interior layers, computational and asymptotic methods – BAIL 2014. Proceedings of the conference, Prague, Czech Republic, September 15–19, 2014. Cham: Springer. Lect. Notes Comput. Sci. Eng. 108, 87-98 (2015). MSC: 65L10 34A08 PDFBibTeX XMLCite \textit{J. L. Gracia} and \textit{M. Stynes}, Lect. Notes Comput. Sci. Eng. 108, 87--98 (2015; Zbl 1427.65119) Full Text: DOI
Maleki Moghaddam, Nader; Afarideh, Hossein; Espinosa-Paredes, Gilberto Development of a 2D-multigroup code (NFDE-2D) based on the neutron spatial-fractional diffusion equation. (English) Zbl 1443.65133 Appl. Math. Modelling 39, No. 13, 3637-3652 (2015). MSC: 65M06 35R11 82D75 PDFBibTeX XMLCite \textit{N. Maleki Moghaddam} et al., Appl. Math. Modelling 39, No. 13, 3637--3652 (2015; Zbl 1443.65133) Full Text: DOI
Kumar, Rajneesh; Gupta, Vandana Wave propagation at the boundary surface of an elastic and thermoelastic diffusion media with fractional order derivative. (English) Zbl 1443.74203 Appl. Math. Modelling 39, No. 5-6, 1674-1688 (2015). MSC: 74J15 74F05 35R11 PDFBibTeX XMLCite \textit{R. Kumar} and \textit{V. Gupta}, Appl. Math. Modelling 39, No. 5--6, 1674--1688 (2015; Zbl 1443.74203) Full Text: DOI
Yang, Fan; Fu, Chu-Li The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation. (English) Zbl 1443.35199 Appl. Math. Modelling 39, No. 5-6, 1500-1512 (2015). MSC: 35R30 35R11 PDFBibTeX XMLCite \textit{F. Yang} and \textit{C.-L. Fu}, Appl. Math. Modelling 39, No. 5--6, 1500--1512 (2015; Zbl 1443.35199) Full Text: DOI
Yang, J. Y.; Zhao, Y. M.; Liu, N.; Bu, W. P.; Xu, T. L.; Tang, Y. F. An implicit MLS meshless method for 2-D time dependent fractional diffusion-wave equation. (English) Zbl 1432.65129 Appl. Math. Modelling 39, No. 3-4, 1229-1240 (2015). MSC: 65M06 35R11 45K05 65M12 76M20 PDFBibTeX XMLCite \textit{J. Y. Yang} et al., Appl. Math. Modelling 39, No. 3--4, 1229--1240 (2015; Zbl 1432.65129) Full Text: DOI
Sayevand, Khosro Sumudu transform iteration method for fractional diffusion-wave equations. (English) Zbl 1418.65153 J. Hyperstruct. 4, No. 2, 156-169 (2015). MSC: 65M99 35R11 35L05 PDFBibTeX XMLCite \textit{K. Sayevand}, J. Hyperstruct. 4, No. 2, 156--169 (2015; Zbl 1418.65153) Full Text: Link
Kumar, Dilip Some aspects of extended kinetic equation. (English) Zbl 1415.35164 Axioms 4, No. 3, 412-422 (2015). MSC: 35K57 PDFBibTeX XMLCite \textit{D. Kumar}, Axioms 4, No. 3, 412--422 (2015; Zbl 1415.35164) Full Text: DOI
Gorenflo, Rudolf; Mainardi, Francesco On the fractional Poisson process and the discretized stable subordinator. (English) Zbl 1415.60051 Axioms 4, No. 3, 321-344 (2015). MSC: 60G55 60G22 60K05 PDFBibTeX XMLCite \textit{R. Gorenflo} and \textit{F. Mainardi}, Axioms 4, No. 3, 321--344 (2015; Zbl 1415.60051) Full Text: DOI arXiv
Wang, Hong; Yang, Danping; Zhu, Shengfeng A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations. (English) Zbl 1425.65183 Comput. Methods Appl. Mech. Eng. 290, 45-56 (2015). MSC: 65N30 65N12 35R11 PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Methods Appl. Mech. Eng. 290, 45--56 (2015; Zbl 1425.65183) 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
Alikhanov, Anatoly A. Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation. (English) Zbl 1410.65294 Appl. Math. Comput. 268, 12-22 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{A. A. Alikhanov}, Appl. Math. Comput. 268, 12--22 (2015; Zbl 1410.65294) Full Text: DOI arXiv
Abbasbandy, Saeid; Kazem, Saeed; Alhuthali, Mohammed S.; Alsulami, Hamed H. Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation. (English) Zbl 1410.65388 Appl. Math. Comput. 266, 31-40 (2015). MSC: 65M70 33C47 35R11 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Appl. Math. Comput. 266, 31--40 (2015; Zbl 1410.65388) Full Text: DOI
Ye, Xingyang; Xu, Chuanju A space-time spectral method for the time fractional diffusion optimal control problems. (English) Zbl 1422.35181 Adv. Difference Equ. 2015, Paper No. 156, 20 p. (2015). MSC: 35R11 65M70 49J20 34A08 PDFBibTeX XMLCite \textit{X. Ye} and \textit{C. Xu}, Adv. Difference Equ. 2015, Paper No. 156, 20 p. (2015; Zbl 1422.35181) Full Text: DOI
Guo, Gang; Chen, Bin; Zhao, Xinjun; Zhao, Fang; Wang, Quanmin First passage time distribution of a modified fractional diffusion equation in the semi-infinite interval. (English) Zbl 1400.35219 Physica A 433, 279-290 (2015). MSC: 35R11 60H10 PDFBibTeX XMLCite \textit{G. Guo} et al., Physica A 433, 279--290 (2015; Zbl 1400.35219) Full Text: DOI
Khushtova, F. G. Fundamental solution of the model equation of anomalous diffusion of fractional order. (Russian. English summary) Zbl 1413.35011 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 4, 722-735 (2015). MSC: 35A08 35A22 35R11 35C15 PDFBibTeX XMLCite \textit{F. G. Khushtova}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 4, 722--735 (2015; Zbl 1413.35011) Full Text: DOI MNR
Liu, Songshu; Feng, Lixin A modified kernel method for a time-fractional inverse diffusion problem. (English) Zbl 1422.35184 Adv. Difference Equ. 2015, Paper No. 342, 11 p. (2015). MSC: 35R25 35R30 35R11 47A52 PDFBibTeX XMLCite \textit{S. Liu} and \textit{L. Feng}, Adv. Difference Equ. 2015, Paper No. 342, 11 p. (2015; Zbl 1422.35184) Full Text: DOI
Losanova, F. M. Problem with Samarskii conditions for fractional diffusion equation in the half. (Russian. English summary) Zbl 1413.35257 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2015, No. 2(11), 17-21 (2015). MSC: 35K57 PDFBibTeX XMLCite \textit{F. M. Losanova}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2015, No. 2(11), 17--21 (2015; Zbl 1413.35257) Full Text: MNR
Li, Lang; Jin, Lingyu; Fang, Shaomei Existence and uniqueness of the solution to a coupled fractional diffusion system. (English) Zbl 1422.35167 Adv. Difference Equ. 2015, Paper No. 370, 14 p. (2015). MSC: 35R11 35B50 35K57 PDFBibTeX XMLCite \textit{L. Li} et al., Adv. Difference Equ. 2015, Paper No. 370, 14 p. (2015; Zbl 1422.35167) Full Text: DOI
Cilingir Sungu, Inci; Demir, Huseyin A new approach and solution technique to solve time fractional nonlinear reaction-diffusion equations. (English) Zbl 1394.65070 Math. Probl. Eng. 2015, Article ID 457013, 13 p. (2015). MSC: 65M06 35R11 35K57 PDFBibTeX XMLCite \textit{I. Cilingir Sungu} and \textit{H. Demir}, Math. Probl. Eng. 2015, Article ID 457013, 13 p. (2015; Zbl 1394.65070) Full Text: DOI
Huang, Chaobao; Yu, Xijun; Wang, Cheng; Li, Zhenzhen; An, Na A numerical method based on fully discrete direct discontinuous Galerkin method for the time fractional diffusion equation. (English) Zbl 1410.65371 Appl. Math. Comput. 264, 483-492 (2015). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{C. Huang} et al., Appl. Math. Comput. 264, 483--492 (2015; Zbl 1410.65371) Full Text: DOI
Alavizadeh, S. R.; Maalek Ghaini, F. M. Numerical solution of fractional diffusion equation over a long time domain. (English) Zbl 1410.65389 Appl. Math. Comput. 263, 240-250 (2015). MSC: 65M70 PDFBibTeX XMLCite \textit{S. R. Alavizadeh} and \textit{F. M. Maalek Ghaini}, Appl. Math. Comput. 263, 240--250 (2015; Zbl 1410.65389) Full Text: DOI
Fu, Zhuo-Jia; Chen, Wen; Ling, Leevan Method of approximate particular solutions for constant- and variable-order fractional diffusion models. (English) Zbl 1403.65087 Eng. Anal. Bound. Elem. 57, 37-46 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{Z.-J. Fu} et al., Eng. Anal. Bound. Elem. 57, 37--46 (2015; Zbl 1403.65087) Full Text: DOI
Cheng, H.; Gao, J.; Zhu, Ping Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition. (English) Zbl 1402.65102 Bull. Iran. Math. Soc. 41, No. 4, 825-834 (2015). MSC: 65M32 35R11 35R25 PDFBibTeX XMLCite \textit{H. Cheng} et al., Bull. Iran. Math. Soc. 41, No. 4, 825--834 (2015; Zbl 1402.65102) Full Text: Link
Ruan, Zhousheng; Yang, Jerry Zhijian; Lu, Xiliang Tikhonov regularisation method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation. (English) Zbl 1457.65086 East Asian J. Appl. Math. 5, No. 3, 273-300 (2015). MSC: 65M32 65M12 65J20 49M15 49N45 35B65 35R11 PDFBibTeX XMLCite \textit{Z. Ruan} et al., East Asian J. Appl. Math. 5, No. 3, 273--300 (2015; Zbl 1457.65086) Full Text: DOI
Abu Hamed, M.; Nepomnyashchy, A. A. Domain coarsening in a subdiffusive Allen-Cahn equation. (English) Zbl 1364.35135 Physica D 308, 52-58 (2015). MSC: 35K57 35R11 35B40 35C08 PDFBibTeX XMLCite \textit{M. Abu Hamed} and \textit{A. A. Nepomnyashchy}, Physica D 308, 52--58 (2015; Zbl 1364.35135) Full Text: DOI
Abu Hamed, M.; Nepomnyashchy, A. A. Groove growth by surface subdiffusion. (English) Zbl 1364.76212 Physica D 298-299, 42-47 (2015). MSC: 76R50 74E15 35Q74 35R11 PDFBibTeX XMLCite \textit{M. Abu Hamed} and \textit{A. A. Nepomnyashchy}, Physica D 298--299, 42--47 (2015; Zbl 1364.76212) Full Text: DOI
Jassim, Hassan Kamil Local fractional variational iteration transform method to solve partial differential equations arising in mathematical physics. (English) Zbl 1359.35112 Int. J. Adv. Appl. Math. Mech. 3, No. 1, 71-76 (2015). MSC: 35L05 35R11 PDFBibTeX XMLCite \textit{H. K. Jassim}, Int. J. Adv. Appl. Math. Mech. 3, No. 1, 71--76 (2015; Zbl 1359.35112) Full Text: Link
Al-Shibani, Faoziya; Ismail, Ahmad Compact Crank-Nicolson and Du Fort-Frankel method for the solution of the time fractional diffusion equation. (English) Zbl 1359.65144 Int. J. Comput. Methods 12, No. 6, Article ID 1550041, 31 p. (2015). MSC: 65M06 35R11 65M12 80A20 PDFBibTeX XMLCite \textit{F. Al-Shibani} and \textit{A. Ismail}, Int. J. Comput. Methods 12, No. 6, Article ID 1550041, 31 p. (2015; Zbl 1359.65144) Full Text: DOI
El Danaf, Talaat S. Numerical solution for the linear time and space fractional diffusion equation. (English) Zbl 1360.65186 J. Vib. Control 21, No. 9, 1769-1777 (2015). MSC: 65L03 26A33 65L60 PDFBibTeX XMLCite \textit{T. S. El Danaf}, J. Vib. Control 21, No. 9, 1769--1777 (2015; Zbl 1360.65186) Full Text: DOI
Sibatov, Renat T.; Svetukhin, V. V. Fractional kinetics of subdiffusion-limited decomposition of a supersaturated solid solution. (English) Zbl 1355.74063 Chaos Solitons Fractals 81, Part B, 519-526 (2015). MSC: 74N25 74A25 35R11 PDFBibTeX XMLCite \textit{R. T. Sibatov} and \textit{V. V. Svetukhin}, Chaos Solitons Fractals 81, Part B, 519--526 (2015; Zbl 1355.74063) Full Text: DOI
Song, Fangying; Xu, Chuanju Spectral direction splitting methods for two-dimensional space fractional diffusion equations. (English) Zbl 1352.65400 J. Comput. Phys. 299, 196-214 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{F. Song} and \textit{C. Xu}, J. Comput. Phys. 299, 196--214 (2015; Zbl 1352.65400) Full Text: DOI
Zhang, Lu; Sun, Hai-Wei; Pang, Hong-Kui Fast numerical solution for fractional diffusion equations by exponential quadrature rule. (English) Zbl 1352.65304 J. Comput. Phys. 299, 130-143 (2015). MSC: 65M20 65L06 35R11 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Phys. 299, 130--143 (2015; Zbl 1352.65304) Full Text: DOI
Stokes, Peter W.; Philippa, Bronson; Read, Wayne; White, Ronald D. Efficient numerical solution of the time fractional diffusion equation by mapping from its Brownian counterpart. (English) Zbl 1352.65268 J. Comput. Phys. 282, 334-344 (2015). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{P. W. Stokes} et al., J. Comput. Phys. 282, 334--344 (2015; Zbl 1352.65268) Full Text: DOI arXiv
Bhrawy, A. H.; Zaky, M. A. A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations. (English) Zbl 1352.65386 J. Comput. Phys. 281, 876-895 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, J. Comput. Phys. 281, 876--895 (2015; Zbl 1352.65386) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi The Galerkin finite element method for a multi-term time-fractional diffusion equation. (English) Zbl 1352.65350 J. Comput. Phys. 281, 825-843 (2015). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{B. Jin} et al., J. Comput. Phys. 281, 825--843 (2015; Zbl 1352.65350) Full Text: DOI arXiv
Wang, Hong; Zhang, Xuhao A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations. (English) Zbl 1352.65211 J. Comput. Phys. 281, 67-81 (2015). MSC: 65L60 34A08 65L10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Zhang}, J. Comput. Phys. 281, 67--81 (2015; Zbl 1352.65211) Full Text: DOI
Sweilam, N. H.; Nagy, A. M.; El-Sayed, Adel A. Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation. (English) Zbl 1352.65401 Chaos Solitons Fractals 73, 141-147 (2015). MSC: 65M70 65M06 35K57 35R11 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Chaos Solitons Fractals 73, 141--147 (2015; Zbl 1352.65401) Full Text: DOI
Datsko, Bohdan; Gafiychuk, Vasyl; Podlubny, Igor Solitary travelling auto-waves in fractional reaction-diffusion systems. (English) Zbl 1440.35341 Commun. Nonlinear Sci. Numer. Simul. 23, No. 1-3, 378-387 (2015). MSC: 35R11 35C07 35C08 92C20 PDFBibTeX XMLCite \textit{B. Datsko} et al., Commun. Nonlinear Sci. Numer. Simul. 23, No. 1--3, 378--387 (2015; Zbl 1440.35341) Full Text: DOI
Ye, H.; Liu, Fawang; Anh, V. Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. (English) Zbl 1349.65353 J. Comput. Phys. 298, 652-660 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{H. Ye} et al., J. Comput. Phys. 298, 652--660 (2015; Zbl 1349.65353) Full Text: DOI Link
Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S. Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. (English) Zbl 1349.65476 J. Comput. Phys. 298, 678-694 (2015). MSC: 65M60 65M15 35R11 PDFBibTeX XMLCite \textit{L. Qiu} et al., J. Comput. Phys. 298, 678--694 (2015; Zbl 1349.65476) Full Text: DOI arXiv
Gao, Guang-Hua; Sun, Hai-Wei Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. (English) Zbl 1349.65294 J. Comput. Phys. 298, 520-538 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{G.-H. Gao} and \textit{H.-W. Sun}, J. Comput. Phys. 298, 520--538 (2015; Zbl 1349.65294) Full Text: DOI
Mentrelli, Andrea; Pagnini, Gianni Front propagation in anomalous diffusive media governed by time-fractional diffusion. (English) Zbl 1349.35404 J. Comput. Phys. 293, 427-441 (2015). MSC: 35R11 35K57 60G22 60J60 PDFBibTeX XMLCite \textit{A. Mentrelli} and \textit{G. Pagnini}, J. Comput. Phys. 293, 427--441 (2015; Zbl 1349.35404) Full Text: DOI Link
Sibatov, R. T.; Uchaikin, V. V. Dispersive transport of charge carriers in disordered nanostructured materials. (English) Zbl 1349.82179 J. Comput. Phys. 293, 409-426 (2015). MSC: 82D80 82C44 35R09 82C43 82D37 PDFBibTeX XMLCite \textit{R. T. Sibatov} and \textit{V. V. Uchaikin}, J. Comput. Phys. 293, 409--426 (2015; Zbl 1349.82179) Full Text: DOI
Jia, Jinhong; Wang, Hong Fast finite difference methods for space-fractional diffusion equations with fractional derivative boundary conditions. (English) Zbl 1349.65561 J. Comput. Phys. 293, 359-369 (2015). MSC: 65N06 65N15 35R11 PDFBibTeX XMLCite \textit{J. Jia} and \textit{H. Wang}, J. Comput. Phys. 293, 359--369 (2015; Zbl 1349.65561) Full Text: DOI
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. A PDE approach to fractional diffusion: a posteriori error analysis. (English) Zbl 1349.65614 J. Comput. Phys. 293, 339-358 (2015). MSC: 65N30 35R11 65N15 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Comput. Phys. 293, 339--358 (2015; Zbl 1349.65614) Full Text: DOI arXiv
Bologna, Mauro; Svenkeson, Adam; West, Bruce J.; Grigolini, Paolo Diffusion in heterogeneous media: an iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients. (English) Zbl 1349.82003 J. Comput. Phys. 293, 297-311 (2015). MSC: 82-08 65M99 82C80 35R11 PDFBibTeX XMLCite \textit{M. Bologna} et al., J. Comput. Phys. 293, 297--311 (2015; Zbl 1349.82003) Full Text: DOI
Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. (English) Zbl 1349.65316 J. Comput. Phys. 293, 252-263 (2015). MSC: 65M06 35R11 65M12 92C30 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Comput. Phys. 293, 252--263 (2015; Zbl 1349.65316) 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
Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Ezz-Eldien, S. S. A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. (English) Zbl 1349.65504 J. Comput. Phys. 293, 142-156 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., J. Comput. Phys. 293, 142--156 (2015; Zbl 1349.65504) Full Text: DOI
Angstmann, C. N.; Donnelly, I. C.; Henry, B. I.; Nichols, J. A. A discrete time random walk model for anomalous diffusion. (English) Zbl 1349.60128 J. Comput. Phys. 293, 53-69 (2015). MSC: 60J60 60G22 26A33 65D25 PDFBibTeX XMLCite \textit{C. N. Angstmann} et al., J. Comput. Phys. 293, 53--69 (2015; Zbl 1349.60128) Full Text: DOI
Luchko, Yuri Wave-diffusion dualism of the neutral-fractional processes. (English) Zbl 1349.35402 J. Comput. Phys. 293, 40-52 (2015). MSC: 35R11 PDFBibTeX XMLCite \textit{Y. Luchko}, J. Comput. Phys. 293, 40--52 (2015; Zbl 1349.35402) Full Text: DOI
Beghin, Luisa On fractional tempered stable processes and their governing differential equations. (English) Zbl 1349.60062 J. Comput. Phys. 293, 29-39 (2015). MSC: 60G22 26A33 35R11 PDFBibTeX XMLCite \textit{L. Beghin}, J. Comput. Phys. 293, 29--39 (2015; Zbl 1349.60062) Full Text: DOI
Sabzikar, Farzad; Meerschaert, Mark M.; Chen, Jinghua Tempered fractional calculus. (English) Zbl 1349.26017 J. Comput. Phys. 293, 14-28 (2015). MSC: 26A33 60G22 PDFBibTeX XMLCite \textit{F. Sabzikar} et al., J. Comput. Phys. 293, 14--28 (2015; Zbl 1349.26017) Full Text: DOI Link
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
Alikhanov, Anatoly A. A new difference scheme for the time fractional diffusion equation. (English) Zbl 1349.65261 J. Comput. Phys. 280, 424-438 (2015). MSC: 65M06 35R11 39A60 65M12 PDFBibTeX XMLCite \textit{A. A. Alikhanov}, J. Comput. Phys. 280, 424--438 (2015; Zbl 1349.65261) Full Text: DOI arXiv
Cui, Mingrong Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients. (English) Zbl 1349.65281 J. Comput. Phys. 280, 143-163 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{M. Cui}, J. Comput. Phys. 280, 143--163 (2015; Zbl 1349.65281) Full Text: DOI
Garg, Mridula; Manohar, Pratibha Three-dimensional generalized differential transform method for space-time fractional diffusion equation in two space variables with variable coefficients. (English) Zbl 1389.35308 Palest. J. Math. 4, No. 1, 127-135 (2015). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{M. Garg} and \textit{P. Manohar}, Palest. J. Math. 4, No. 1, 127--135 (2015; Zbl 1389.35308) Full Text: Link
Szekeres, Béla J.; Izsák, Ferenc A finite difference method for fractional diffusion equations with Neumann boundary conditions. (English) Zbl 1515.35326 Open Math. 13, 581-600 (2015). MSC: 35R11 35A35 35K15 65M06 65M12 PDFBibTeX XMLCite \textit{B. J. Szekeres} and \textit{F. Izsák}, Open Math. 13, 581--600 (2015; Zbl 1515.35326) Full Text: DOI arXiv
Lopushanska, H. P.; Lopushansky, A. O.; Myaus, O. M. Classical solution of the inverse problem for fractional diffusion equation under time-integrated over-determination condition. (Russian. English summary) Zbl 1348.35337 Mat. Stud. 44, No. 2, 215-220 (2015). MSC: 35S15 35R30 35R11 PDFBibTeX XMLCite \textit{H. P. Lopushanska} et al., Mat. Stud. 44, No. 2, 215--220 (2015; Zbl 1348.35337) Full Text: DOI
Namazi, Hamidreza; Kulish, Vladimir V. Fractional diffusion based modelling and prediction of human brain response to external stimuli. (English) Zbl 1344.92038 Comput. Math. Methods Med. 2015, Article ID 148534, 11 p. (2015). MSC: 92C20 PDFBibTeX XMLCite \textit{H. Namazi} and \textit{V. V. Kulish}, Comput. Math. Methods Med. 2015, Article ID 148534, 11 p. (2015; Zbl 1344.92038) Full Text: DOI arXiv
Tang, Qing; Ma, Qingxia Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives. (English) Zbl 1347.49004 Adv. Difference Equ. 2015, Paper No. 283, 14 p. (2015). MSC: 49J20 49K20 35R11 26A33 35Q93 PDFBibTeX XMLCite \textit{Q. Tang} and \textit{Q. Ma}, Adv. Difference Equ. 2015, Paper No. 283, 14 p. (2015; Zbl 1347.49004) Full Text: DOI
Fa, Kwok Sau Correlation function induced by a generalized diffusion equation with the presence of a harmonic potential. (English) Zbl 1343.60051 Ann. Phys. 353, 179-185 (2015). MSC: 60G50 60J60 35R11 35R09 45K05 92D20 PDFBibTeX XMLCite \textit{K. S. Fa}, Ann. Phys. 353, 179--185 (2015; Zbl 1343.60051) Full Text: DOI
Wang, Ziqiang; Cao, Junying A new high order numerical scheme for the fractional diffusion equation. (Chinese. English summary) Zbl 1349.65349 Math. Pract. Theory 45, No. 6, 315-320 (2015). MSC: 65M06 65M12 35R11 35K05 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{J. Cao}, Math. Pract. Theory 45, No. 6, 315--320 (2015; Zbl 1349.65349)
Liu, Wenbin; Liu, Dongbing Analytical solutions of non-homogeneous time fractional diffusion-wave equation in higher dimensions. (Chinese. English summary) Zbl 1349.35401 Math. Pract. Theory 45, No. 4, 227-231 (2015). MSC: 35R11 35A08 35A25 PDFBibTeX XMLCite \textit{W. Liu} and \textit{D. Liu}, Math. Pract. Theory 45, No. 4, 227--231 (2015; Zbl 1349.35401)
Guan, Hongbo; Huang, Haiyang Finite element method with moving grids for the space-fractional diffusion equations in \(R^2\). (Chinese. English summary) Zbl 1349.65451 Math. Pract. Theory 45, No. 21, 221-226 (2015). MSC: 65M60 65M15 35K05 35R11 65M50 65M06 PDFBibTeX XMLCite \textit{H. Guan} and \textit{H. Huang}, Math. Pract. Theory 45, No. 21, 221--226 (2015; Zbl 1349.65451)
Yang, Zhaoqiang Numerical solution method of European lookback option pricing model under mixed jump-diffusion fractional Brownian motion. (Chinese. English summary) Zbl 1349.91317 J. Ningxia Univ., Nat. Sci. Ed. 36, No. 3, 201-211 (2015). MSC: 91G60 65M06 65C30 91G20 60G22 60J75 PDFBibTeX XMLCite \textit{Z. Yang}, J. Ningxia Univ., Nat. Sci. Ed. 36, No. 3, 201--211 (2015; Zbl 1349.91317)
Ruan, Zhousheng; Wang, Zewen; Zhang, Wen Numerical solution to the source inverse problem for time fractional diffusion equation. (Chinese. English summary) Zbl 1349.65411 J. Nat. Sci. Heilongjiang Univ. 32, No. 5, 586-590 (2015). MSC: 65M32 65M60 35R11 35K05 65M30 PDFBibTeX XMLCite \textit{Z. Ruan} et al., J. Nat. Sci. Heilongjiang Univ. 32, No. 5, 586--590 (2015; Zbl 1349.65411) Full Text: DOI
Xue, Hong; Fu, Shuang Convertible bond pricing with default risk in fractional jump-diffusion O-U process. (Chinese. English summary) Zbl 1349.91293 Basic Sci. J. Text. Univ. 28, No. 3, 310-315 (2015). MSC: 91G30 60J60 60J75 60G22 PDFBibTeX XMLCite \textit{H. Xue} and \textit{S. Fu}, Basic Sci. J. Text. Univ. 28, No. 3, 310--315 (2015; Zbl 1349.91293) Full Text: DOI
Deng, Juan; Zheng, Zhoushun A weighted fractional centered difference method for the space fractional diffusion equation based on Riesz derivatives. (Chinese. English summary) Zbl 1349.65283 J. Xiamen Univ., Nat. Sci. 54, No. 6, 858-864 (2015). MSC: 65M06 65M12 35R11 35K05 65M15 PDFBibTeX XMLCite \textit{J. Deng} and \textit{Z. Zheng}, J. Xiamen Univ., Nat. Sci. 54, No. 6, 858--864 (2015; Zbl 1349.65283) Full Text: DOI
Sun, Hongjie Weak solution of inhomegeous porous medium equation with fractional diffusion. (Chinese. English summary) Zbl 1349.35065 J. Sichuan Univ., Nat. Sci. Ed. 52, No. 5, 975-979 (2015). MSC: 35D30 35R11 PDFBibTeX XMLCite \textit{H. Sun}, J. Sichuan Univ., Nat. Sci. Ed. 52, No. 5, 975--979 (2015; Zbl 1349.35065)
Wang, Xuebin Analytical solutions for the multi-term time-space Caputo-Riesz fractional diffusion equations in 2-D and 3-D. (Chinese. English summary) Zbl 1349.35197 J. Shandong Univ., Nat. Sci. 50, No. 10, 89-94 (2015). MSC: 35K57 35A20 PDFBibTeX XMLCite \textit{X. Wang}, J. Shandong Univ., Nat. Sci. 50, No. 10, 89--94 (2015; Zbl 1349.35197) Full Text: DOI
Zhu, Lin; Rui, Hongxing Maximum modulus principle estimates for one dimensional fractional diffusion equation. (English) Zbl 1349.35417 Appl. Math., Ser. B (Engl. Ed.) 30, No. 4, 466-478 (2015). MSC: 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{H. Rui}, Appl. Math., Ser. B (Engl. Ed.) 30, No. 4, 466--478 (2015; Zbl 1349.35417) Full Text: DOI
Bazzaev, Aleksandr Kazbekovich; Tsopanov, Igor’ Dzastemirovich Difference schemes for the fractional diffusion equation with a fractional derivative in lowest terms. (Russian. English summary) Zbl 1342.65173 Sib. Èlektron. Mat. Izv. 12, 80-91 (2015). MSC: 65M06 PDFBibTeX XMLCite \textit{A. K. Bazzaev} and \textit{I. D. Tsopanov}, Sib. Èlektron. Mat. Izv. 12, 80--91 (2015; Zbl 1342.65173) Full Text: DOI
Al-Refai, Mohammed; Luchko, Yuri Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives. (English) Zbl 1338.35457 Appl. Math. Comput. 257, 40-51 (2015). MSC: 35R11 35B50 PDFBibTeX XMLCite \textit{M. Al-Refai} and \textit{Y. Luchko}, Appl. Math. Comput. 257, 40--51 (2015; Zbl 1338.35457) Full Text: DOI
Pirkhedri, A.; Javadi, H. H. S. Solving the time-fractional diffusion equation via sinc-Haar collocation method. (English) Zbl 1339.65193 Appl. Math. Comput. 257, 317-326 (2015). MSC: 65M70 PDFBibTeX XMLCite \textit{A. Pirkhedri} and \textit{H. H. S. Javadi}, Appl. Math. Comput. 257, 317--326 (2015; Zbl 1339.65193) Full Text: DOI
Feng, L. B.; Zhuang, P.; Liu, Fawang; Turner, I. Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. (English) Zbl 1339.65144 Appl. Math. Comput. 257, 52-65 (2015). MSC: 65M08 65M12 35R11 PDFBibTeX XMLCite \textit{L. B. Feng} et al., Appl. Math. Comput. 257, 52--65 (2015; Zbl 1339.65144) Full Text: DOI Link
Lukashchuk, S. Yu.; Makunin, A. V. Group classification of nonlinear time-fractional diffusion equation with a source term. (English) Zbl 1338.35472 Appl. Math. Comput. 257, 335-343 (2015). MSC: 35R11 35A30 PDFBibTeX XMLCite \textit{S. Yu. Lukashchuk} and \textit{A. V. Makunin}, Appl. Math. Comput. 257, 335--343 (2015; Zbl 1338.35472) Full Text: DOI
Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. (English) Zbl 1338.35471 Appl. Math. Comput. 257, 381-397 (2015). MSC: 35R11 PDFBibTeX XMLCite \textit{Z. Li} et al., Appl. Math. Comput. 257, 381--397 (2015; Zbl 1338.35471) Full Text: DOI arXiv
Li, Wei; Li, Can Second-order explicit difference schemes for the space fractional advection diffusion equation. (English) Zbl 1339.65129 Appl. Math. Comput. 257, 446-457 (2015). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{W. Li} and \textit{C. Li}, Appl. Math. Comput. 257, 446--457 (2015; Zbl 1339.65129) Full Text: DOI
Bu, Weiping; Tang, Yifa; Wu, Yingchuan; Yang, Jiye Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model. (English) Zbl 1339.65170 Appl. Math. Comput. 257, 355-364 (2015). MSC: 65M60 65M12 92C20 PDFBibTeX XMLCite \textit{W. Bu} et al., Appl. Math. Comput. 257, 355--364 (2015; Zbl 1339.65170) Full Text: DOI
Ahmad, B.; Alhothuali, M. S.; Alsulami, H. H.; Kirane, M.; Timoshin, S. On a time fractional reaction diffusion equation. (English) Zbl 1338.35456 Appl. Math. Comput. 257, 199-204 (2015). MSC: 35R11 35K57 35B44 PDFBibTeX XMLCite \textit{B. Ahmad} et al., Appl. Math. Comput. 257, 199--204 (2015; Zbl 1338.35456) Full Text: DOI
Liu, Q.; Liu, F.; Gu, Y. T.; Zhuang, P.; Chen, Jinghua; Turner, I. A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation. (English) Zbl 1339.65132 Appl. Math. Comput. 256, 930-938 (2015). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Q. Liu} et al., Appl. Math. Comput. 256, 930--938 (2015; Zbl 1339.65132) Full Text: DOI Link
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
Choo, K. Y.; Muniandy, S. V. Fractional dispersive transport in inhomogeneous organic semiconductors. Reprint of the International Journal of Modern Physics: Conference Series 36 (2015). (English) Zbl 1341.82095 Bernido, Christopher C. (ed.) et al., Analysis of fractional stochastic processes: advances and applications. Proceedings of the 7th Jagna international workshop, Jagna, Bohol, Philippines, January 6–11, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-4618-34-2/hbk). Article ID 1560008, 16 p. (2015). MSC: 82D37 35R11 35Q82 82C70 65M06 82-08 78A25 PDFBibTeX XMLCite \textit{K. Y. Choo} and \textit{S. V. Muniandy}, in: Analysis of fractional stochastic processes: advances and applications. Proceedings of the 7th Jagna international workshop, Jagna, Bohol, Philippines, January 6--11, 2014. Hackensack, NJ: World Scientific. Article ID 1560008, 16 p. (2015; Zbl 1341.82095) Full Text: DOI
Metzler, Ralf Weak ergodicity breaking and ageing in anomalous diffusion. Reprint of the International Journal of Modern Physics: Conference Series 36 (2015). (English) Zbl 1337.60193 Bernido, Christopher C. (ed.) et al., Analysis of fractional stochastic processes: advances and applications. Proceedings of the 7th Jagna international workshop, Jagna, Bohol, Philippines, January 6–11, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-4618-34-2/hbk). Article ID 1560007, 16 p. (2015). MSC: 60J60 60G22 PDFBibTeX XMLCite \textit{R. Metzler}, in: Analysis of fractional stochastic processes: advances and applications. Proceedings of the 7th Jagna international workshop, Jagna, Bohol, Philippines, January 6--11, 2014. Hackensack, NJ: World Scientific. Article ID 1560007, 16 p. (2015; Zbl 1337.60193) Full Text: DOI
Bernido, Christopher C.; Carpio-Bernido, M. Victoria Stochastic path summation with memory. Reprint of the International Journal of Modern Physics: Conference Series 36 (2015). (English) Zbl 1337.60108 Bernido, Christopher C. (ed.) et al., Analysis of fractional stochastic processes: advances and applications. Proceedings of the 7th Jagna international workshop, Jagna, Bohol, Philippines, January 6–11, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-4618-34-2/hbk). Article ID 1560006, 8 p. (2015). MSC: 60H05 60H40 60J65 60J60 60G22 PDFBibTeX XMLCite \textit{C. C. Bernido} and \textit{M. V. Carpio-Bernido}, in: Analysis of fractional stochastic processes: advances and applications. Proceedings of the 7th Jagna international workshop, Jagna, Bohol, Philippines, January 6--11, 2014. Hackensack, NJ: World Scientific. Article ID 1560006, 8 p. (2015; Zbl 1337.60108) Full Text: DOI
Wang, Wenfei; Chen, Xu; Ding, Deng; Lei, Siu-Long Circulant preconditioning technique for barrier options pricing under fractional diffusion models. (English) Zbl 1337.91130 Int. J. Comput. Math. 92, No. 12, 2596-2614 (2015). MSC: 91G60 65M06 60G22 60G51 65F08 65F10 65M12 65M22 91G20 PDFBibTeX XMLCite \textit{W. Wang} et al., Int. J. Comput. Math. 92, No. 12, 2596--2614 (2015; Zbl 1337.91130) Full Text: DOI