Li, Jin; Zhao, Kaiyan; Su, Xiaoning Barycentric interpolation collocation method for solving fractional linear Fredholm-Volterra integro-differential equation. (English) Zbl 07772482 J. Funct. Spaces 2023, Article ID 7918713, 14 p. (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{J. Li} et al., J. Funct. Spaces 2023, Article ID 7918713, 14 p. (2023; Zbl 07772482) Full Text: DOI
Seal, Aniruddha; Natesan, Srinivasan Convergence analysis of a second-order scheme for fractional differential equation with integral boundary conditions. (English) Zbl 1509.34013 J. Appl. Math. Comput. 69, No. 1, 465-489 (2023). MSC: 34A08 41A15 41A25 65L20 PDFBibTeX XMLCite \textit{A. Seal} and \textit{S. Natesan}, J. Appl. Math. Comput. 69, No. 1, 465--489 (2023; Zbl 1509.34013) Full Text: DOI
Fahimi-khalilabad, Iraj; Irandoust-pakchin, Safar; Abdi-mazraeh, Somayeh High-order finite difference method based on linear barycentric rational interpolation for Caputo type sub-diffusion equation. (English) Zbl 07538450 Math. Comput. Simul. 199, 60-80 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{I. Fahimi-khalilabad} et al., Math. Comput. Simul. 199, 60--80 (2022; Zbl 07538450) Full Text: DOI
Owolabi, Kolade M.; Pindza, Edson; Atangana, Abdon Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator. (English) Zbl 1506.35271 Chaos Solitons Fractals 152, Article ID 111468, 14 p. (2021). MSC: 35R11 26A33 35B36 35K57 65L05 65M06 92D25 93C10 PDFBibTeX XMLCite \textit{K. M. Owolabi} et al., Chaos Solitons Fractals 152, Article ID 111468, 14 p. (2021; Zbl 1506.35271) Full Text: DOI
Aghdam, Yones Esmaeelzade; Safdari, Hamid; Azari, Yaqub; Jafari, Hossein; Baleanu, Dumitru Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme. (English) Zbl 1475.65062 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2025-2039 (2021). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Y. E. Aghdam} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2025--2039 (2021; Zbl 1475.65062) Full Text: DOI
Cetinkaya, Suleyman; Demir, Ali Sequential space fractional diffusion equation’s solutions via new inner product. (English) Zbl 1482.35244 Asian-Eur. J. Math. 14, No. 7, Article ID 2150121, 12 p. (2021). MSC: 35R11 35K20 26A33 65M70 PDFBibTeX XMLCite \textit{S. Cetinkaya} and \textit{A. Demir}, Asian-Eur. J. Math. 14, No. 7, Article ID 2150121, 12 p. (2021; Zbl 1482.35244) Full Text: DOI
Kundu, Snehasis; Ghoshal, Koeli Effects of non-locality on unsteady nonequilibrium sediment transport in turbulent flows: a study using space fractional ADE with fractional divergence. (English) Zbl 1481.76126 Appl. Math. Modelling 96, 617-644 (2021). MSC: 76F99 35Q35 76T20 PDFBibTeX XMLCite \textit{S. Kundu} and \textit{K. Ghoshal}, Appl. Math. Modelling 96, 617--644 (2021; Zbl 1481.76126) Full Text: DOI
Ghosh, Surath; Kundu, Snehasis; Kumar, Sunil; Mahmoud, Emad E. Spectral approximation methods for non equilibrium transport in turbulent channel flows using fADE. (English) Zbl 1459.65195 Appl. Numer. Math. 162, 53-66 (2021). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Ghosh} et al., Appl. Numer. Math. 162, 53--66 (2021; Zbl 1459.65195) Full Text: DOI
Mohammadi Rick, Solmaz; Rashidinia, Jalil Solving fractional diffusion equations by sinc and radial basis functions. (English) Zbl 1468.65167 Asian-Eur. J. Math. 13, No. 5, Article ID 2050101, 14 p. (2020). MSC: 65M70 65M06 26A33 65D12 35R11 PDFBibTeX XMLCite \textit{S. Mohammadi Rick} and \textit{J. Rashidinia}, Asian-Eur. J. Math. 13, No. 5, Article ID 2050101, 14 p. (2020; Zbl 1468.65167) Full Text: DOI
Zhu, X. G.; Nie, Y. F.; Ge, Z. H.; Yuan, Z. B.; Wang, J. G. A class of RBFs-based DQ methods for the space-fractional diffusion equations on 3D irregular domains. (English) Zbl 1465.76081 Comput. Mech. 66, No. 1, 221-238 (2020). MSC: 76M99 76R50 PDFBibTeX XMLCite \textit{X. G. Zhu} et al., Comput. Mech. 66, No. 1, 221--238 (2020; Zbl 1465.76081) Full Text: DOI
Soori, Z.; Aminataei, A. Numerical solution of space fractional diffusion equation by spline method combined with Richardson extrapolation. (English) Zbl 1463.65188 Comput. Appl. Math. 39, No. 2, Paper No. 136, 18 p. (2020). MSC: 65L06 41A15 PDFBibTeX XMLCite \textit{Z. Soori} and \textit{A. Aminataei}, Comput. Appl. Math. 39, No. 2, Paper No. 136, 18 p. (2020; Zbl 1463.65188) Full Text: DOI
Owolabi, Kolade M.; Pindza, Edson Numerical simulation of multidimensional nonlinear fractional Ginzburg-Landau equations. (English) Zbl 1442.65321 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 835-851 (2020). MSC: 65M99 35K57 35R11 PDFBibTeX XMLCite \textit{K. M. Owolabi} and \textit{E. Pindza}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 835--851 (2020; Zbl 1442.65321) Full Text: DOI
Safdari, H.; Mesgarani, H.; Javidi, M.; Aghdam, Y. Esmaeelzade Convergence analysis of the space fractional-order diffusion equation based on the compact finite difference scheme. (English) Zbl 1463.65244 Comput. Appl. Math. 39, No. 2, Paper No. 62, 15 p. (2020). MSC: 65M06 34K37 91G80 97N50 35R11 65N35 65M12 35R35 41A50 PDFBibTeX XMLCite \textit{H. Safdari} et al., Comput. Appl. Math. 39, No. 2, Paper No. 62, 15 p. (2020; Zbl 1463.65244) Full Text: DOI
Ramezani, M.; Mokhtari, R.; Haase, G. Some high order formulae for approximating Caputo fractional derivatives. (English) Zbl 1433.65028 Appl. Numer. Math. 153, 300-318 (2020). MSC: 65D25 26A33 65D07 PDFBibTeX XMLCite \textit{M. Ramezani} et al., Appl. Numer. Math. 153, 300--318 (2020; Zbl 1433.65028) Full Text: DOI
Lin, Xue-Lei; Lyu, Pin; Ng, Michael K.; Sun, Hai-Wei; Vong, Seakweng An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients. (English) Zbl 1463.65233 Commun. Appl. Math. Comput. 2, No. 2, 215-239 (2020). MSC: 65M06 35R11 65M12 65F08 15B05 65F10 65F35 PDFBibTeX XMLCite \textit{X.-L. Lin} et al., Commun. Appl. Math. Comput. 2, No. 2, 215--239 (2020; Zbl 1463.65233) Full Text: DOI arXiv
Yue, Xiaoqiang; Shu, Shi; Xu, Xiaowen; Bu, Weiping; Pan, Kejia Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations. (English) Zbl 1443.65231 Comput. Math. Appl. 78, No. 11, 3471-3484 (2019). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{X. Yue} et al., Comput. Math. Appl. 78, No. 11, 3471--3484 (2019; Zbl 1443.65231) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. (English) Zbl 1442.65288 Comput. Math. Appl. 78, No. 5, 1772-1792 (2019). MSC: 65M70 65M12 65M60 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 78, No. 5, 1772--1792 (2019; Zbl 1442.65288) Full Text: DOI
Kheybari, Samad; Darvishi, Mohammad Taghi; Hashemi, Mir Sajjad Numerical simulation for the space-fractional diffusion equations. (English) Zbl 1429.65244 Appl. Math. Comput. 348, 57-69 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Kheybari} et al., Appl. Math. Comput. 348, 57--69 (2019; Zbl 1429.65244) Full Text: DOI
Ghaffari, Rezvan; Ghoreishi, Farideh Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations. (English) Zbl 1407.65103 Appl. Numer. Math. 137, 62-79 (2019). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{R. Ghaffari} and \textit{F. Ghoreishi}, Appl. Numer. Math. 137, 62--79 (2019; Zbl 1407.65103) Full Text: DOI
Krishnarajulu, Krishnaveni; Sevugan, Raja Balachandar; Gopalakrishnan, Venkatesh Sivaramakrishnan A new approach to space fractional differential equations based on fractional order Euler polynomials. (English) Zbl 1499.49067 Publ. Inst. Math., Nouv. Sér. 104(118), 157-168 (2018). MSC: 49K20 26A33 34A08 35R11 PDFBibTeX XMLCite \textit{K. Krishnarajulu} et al., Publ. Inst. Math., Nouv. Sér. 104(118), 157--168 (2018; Zbl 1499.49067) Full Text: DOI
Salehi, Younes; Darvishi, Mohammad T.; Schiesser, William E. Numerical solution of space fractional diffusion equation by the method of lines and splines. (English) Zbl 1427.65218 Appl. Math. Comput. 336, 465-480 (2018). MSC: 65M20 35R11 65M12 PDFBibTeX XMLCite \textit{Y. Salehi} et al., Appl. Math. Comput. 336, 465--480 (2018; Zbl 1427.65218) Full Text: DOI
Zhu, X. G.; Yuan, Z. B.; Liu, F.; Nie, Y. F. Differential quadrature method for space-fractional diffusion equations on 2D irregular domains. (English) Zbl 1516.65113 Numer. Algorithms 79, No. 3, 853-877 (2018). MSC: 65M99 65D12 65D25 65D30 65L12 60G51 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{X. G. Zhu} et al., Numer. Algorithms 79, No. 3, 853--877 (2018; Zbl 1516.65113) Full Text: DOI arXiv
Li, Zhiqiang; Liang, Zongqi; Yan, Yubin High-order numerical methods for solving time fractional partial differential equations. (English) Zbl 1387.65106 J. Sci. Comput. 71, No. 2, 785-803 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M60 65M15 65M70 35R11 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Sci. Comput. 71, No. 2, 785--803 (2017; Zbl 1387.65106) Full Text: DOI Link
Swielam, Nasser Hassan; Nagy, Abd Elhameed Mohamed; El Sayed, Adel Abd Elaziz Numerical approach for solving space fractional order diffusion equations using shifted Chebyshev polynomials of the fourth kind. (English) Zbl 1438.35442 Turk. J. Math. 40, No. 6, 1283-1297 (2016). MSC: 35R11 26A33 35K05 65M70 PDFBibTeX XMLCite \textit{N. H. Swielam} et al., Turk. J. Math. 40, No. 6, 1283--1297 (2016; Zbl 1438.35442) 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
Cheng, Rongjun; Ge, Hongxia; Wu, Yong The numerical analysis of two-sided space-fractional wave equation with improved moving least-square Ritz method. (English) Zbl 1400.65051 Math. Probl. Eng. 2016, Article ID 4893724, 9 p. (2016). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{R. Cheng} et al., Math. Probl. Eng. 2016, Article ID 4893724, 9 p. (2016; Zbl 1400.65051) Full Text: DOI
Stynes, Martin; O’Riordan, Eugene; Gracia, José Luis Necessary conditions for convergence of difference schemes for fractional-derivative two-point boundary value problems. (English) Zbl 1408.65049 BIT 56, No. 4, 1455-1477 (2016). MSC: 65L20 34A08 65L12 PDFBibTeX XMLCite \textit{M. Stynes} et al., BIT 56, No. 4, 1455--1477 (2016; Zbl 1408.65049) Full Text: DOI
Žecová, Monika; Terpák, Ján Fractional heat conduction models and thermal diffusivity determination. (English) Zbl 1394.80010 Math. Probl. Eng. 2015, Article ID 753936, 9 p. (2015). MSC: 80A20 PDFBibTeX XMLCite \textit{M. Žecová} and \textit{J. Terpák}, Math. Probl. Eng. 2015, Article ID 753936, 9 p. (2015; Zbl 1394.80010) 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
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
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
Žecová, Monika; Terpák, Ján Heat conduction modeling by using fractional-order derivatives. (English) Zbl 1338.80012 Appl. Math. Comput. 257, 365-373 (2015). MSC: 80A20 35R11 PDFBibTeX XMLCite \textit{M. Žecová} and \textit{J. Terpák}, Appl. Math. Comput. 257, 365--373 (2015; Zbl 1338.80012) Full Text: DOI
Deng, Kaiying; Chen, Minghua; Sun, Tieli A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations. (English) Zbl 1339.65108 Appl. Math. Comput. 257, 264-273 (2015). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{K. Deng} et al., Appl. Math. Comput. 257, 264--273 (2015; Zbl 1339.65108) Full Text: DOI
Cao, Jianxiong; Li, Changpin; Chen, YangQuan High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II. (English) Zbl 1325.65121 Fract. Calc. Appl. Anal. 18, No. 3, 735-761 (2015). MSC: 65M06 65M12 26A33 PDFBibTeX XMLCite \textit{J. Cao} et al., Fract. Calc. Appl. Anal. 18, No. 3, 735--761 (2015; Zbl 1325.65121) Full Text: DOI
Vong, Seakweng; Wang, Zhibo A high-order compact scheme for the nonlinear fractional Klein-Gordon equation. (English) Zbl 1320.65122 Numer. Methods Partial Differ. Equations 31, No. 3, 706-722 (2015). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M06 PDFBibTeX XMLCite \textit{S. Vong} and \textit{Z. Wang}, Numer. Methods Partial Differ. Equations 31, No. 3, 706--722 (2015; Zbl 1320.65122) Full Text: DOI
Gracia, José Luis; Stynes, Martin Formal consistency versus actual convergence rates of difference schemes for fractional-derivative boundary value problems. (English) Zbl 1308.65126 Fract. Calc. Appl. Anal. 18, No. 2, 419-436 (2015). MSC: 65L10 65L12 34A08 PDFBibTeX XMLCite \textit{J. L. Gracia} and \textit{M. Stynes}, Fract. Calc. Appl. Anal. 18, No. 2, 419--436 (2015; Zbl 1308.65126) Full Text: DOI Link
Sousa, Ercília; Li, Can A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. (English) Zbl 1326.65111 Appl. Numer. Math. 90, 22-37 (2015). MSC: 65M06 35R11 35K57 65M12 PDFBibTeX XMLCite \textit{E. Sousa} and \textit{C. Li}, Appl. Numer. Math. 90, 22--37 (2015; Zbl 1326.65111) Full Text: DOI arXiv
Zhang, Yuxin Numerical treatment of the modified time fractional Fokker-Planck equation. (English) Zbl 1470.65155 Abstr. Appl. Anal. 2014, Article ID 282190, 10 p. (2014). MSC: 65M06 35Q84 35R11 PDFBibTeX XMLCite \textit{Y. Zhang}, Abstr. Appl. Anal. 2014, Article ID 282190, 10 p. (2014; Zbl 1470.65155) Full Text: DOI
Li, Changpin; Ding, Hengfei Higher order finite difference method for the reaction and anomalous-diffusion equation. (English) Zbl 1429.65188 Appl. Math. Modelling 38, No. 15-16, 3802-3821 (2014). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{C. Li} and \textit{H. Ding}, Appl. Math. Modelling 38, No. 15--16, 3802--3821 (2014; Zbl 1429.65188) Full Text: DOI
Hosseini, S. Mohammad; Ghaffari, Rezvan Polynomial and nonpolynomial spline methods for fractional sub-diffusion equations. (English) Zbl 1427.65168 Appl. Math. Modelling 38, No. 14, 3554-3566 (2014). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{S. M. Hosseini} and \textit{R. Ghaffari}, Appl. Math. Modelling 38, No. 14, 3554--3566 (2014; Zbl 1427.65168) Full Text: DOI
Chen, Minghua; Deng, Weihua A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation. (English) Zbl 1427.65149 Appl. Math. Modelling 38, No. 13, 3244-3259 (2014). MSC: 65M06 35R11 65M12 76M20 PDFBibTeX XMLCite \textit{M. Chen} and \textit{W. Deng}, Appl. Math. Modelling 38, No. 13, 3244--3259 (2014; Zbl 1427.65149) Full Text: DOI arXiv
Wang, Zhibo; Vong, Seakweng A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations. (English) Zbl 1369.65105 Comput. Math. Appl. 68, No. 3, 185-196 (2014). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{S. Vong}, Comput. Math. Appl. 68, No. 3, 185--196 (2014; Zbl 1369.65105) Full Text: DOI
Vong, Seakweng; Wang, Zhibo A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions. (English) Zbl 1352.65273 J. Comput. Phys. 274, 268-282 (2014). MSC: 65M06 35R11 35L20 39A14 65M12 PDFBibTeX XMLCite \textit{S. Vong} and \textit{Z. Wang}, J. Comput. Phys. 274, 268--282 (2014; Zbl 1352.65273) Full Text: DOI
Xu, Qinwu; Hesthaven, Jan S. Stable multi-domain spectral penalty methods for fractional partial differential equations. (English) Zbl 1349.35414 J. Comput. Phys. 257, Part A, 241-258 (2014). MSC: 35R11 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{J. S. Hesthaven}, J. Comput. Phys. 257, Part A, 241--258 (2014; Zbl 1349.35414) Full Text: DOI Link
Doha, Eid H.; Bhrawy, Ali H.; Baleanu, Dumitru; Ezz-Eldien, Samer S. The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation. (English) Zbl 1343.65126 Adv. Difference Equ. 2014, Paper No. 231, 14 p. (2014). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Adv. Difference Equ. 2014, Paper No. 231, 14 p. (2014; Zbl 1343.65126) Full Text: DOI
Bhrawy, A. H. A new numerical algorithm for solving a class of fractional advection-dispersion equation with variable coefficients using Jacobi polynomials. (English) Zbl 1470.65172 Abstr. Appl. Anal. 2013, Article ID 954983, 9 p. (2013). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. H. Bhrawy}, Abstr. Appl. Anal. 2013, Article ID 954983, 9 p. (2013; Zbl 1470.65172) Full Text: DOI
Ding, Hengfei; Li, Changpin Mixed spline function method for reaction-subdiffusion equations. (English) Zbl 1297.65091 J. Comput. Phys. 242, 103-123 (2013). MSC: 65M06 35K57 65M12 35R11 PDFBibTeX XMLCite \textit{H. Ding} and \textit{C. Li}, J. Comput. Phys. 242, 103--123 (2013; Zbl 1297.65091) Full Text: DOI
Ding, Hengfei; Li, Changpin Numerical algorithms for the fractional diffusion-wave equation with reaction term. (English) Zbl 1291.65261 Abstr. Appl. Anal. 2013, Article ID 493406, 15 p. (2013). MSC: 65M06 35R11 45K05 PDFBibTeX XMLCite \textit{H. Ding} and \textit{C. Li}, Abstr. Appl. Anal. 2013, Article ID 493406, 15 p. (2013; Zbl 1291.65261) Full Text: DOI
Dea, John R. Absorbing boundary conditions for the fractional wave equation. (English) Zbl 1290.65073 Appl. Math. Comput. 219, No. 18, 9810-9820 (2013). MSC: 65M06 26A33 35R11 PDFBibTeX XMLCite \textit{J. R. Dea}, Appl. Math. Comput. 219, No. 18, 9810--9820 (2013; Zbl 1290.65073) Full Text: DOI
Bhrawy, A. H.; Baleanu, D. A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients. (English) Zbl 1292.65109 Rep. Math. Phys. 72, No. 2, 219-233 (2013). MSC: 65M70 35R11 35K57 65M20 65L06 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{D. Baleanu}, Rep. Math. Phys. 72, No. 2, 219--233 (2013; Zbl 1292.65109) Full Text: DOI
Sousa, Ercília A second order explicit finite difference method for the fractional advection diffusion equation. (English) Zbl 1268.65118 Comput. Math. Appl. 64, No. 10, 3141-3152 (2012). MSC: 65M06 35R11 65M12 35K57 45K05 PDFBibTeX XMLCite \textit{E. Sousa}, Comput. Math. Appl. 64, No. 10, 3141--3152 (2012; Zbl 1268.65118) Full Text: DOI
Sousa, Ercilia How to approximate the fractional derivative of order \(1 < \alpha \leq 2\). (English) Zbl 1258.26006 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1250075, 13 p. (2012). MSC: 26A33 65M06 65L12 PDFBibTeX XMLCite \textit{E. Sousa}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1250075, 13 p. (2012; Zbl 1258.26006) Full Text: DOI