Alikhanov A. A., “Apriornye otsenki reshenii kraevykh zadach dlya uravnenii drobnogo poryadka”, Differentsialnye uravneniya, 46:5 (2010), 658–664
Alikhanov A. A., “Ob ustoichivosti i skhodimosti nelokalnykh raznostnykh skhem”, Differentsialnye uravneniya, 46:7 (2010), 942–954
Alikhanov A. A., “Boundary value problems for the diffusion equation of the variable order
in differential and difference settings”, Applied Mathematics and Computation, 219:8 (2012), 3938–3946
Alikhanov A. A., “Ustoichivost i skhodimost raznostnykh skhem, approksimiruyuschikh dvukhparametricheskuyu nelokalnuyu kraevuyu zadachu”, Differentsialnye uravneniya, 49:7 (2013), 826–836
Alikhanov A. A., “A new difference scheme for the time fractional diffusion equation”, Journal of Computational Physics, 280 (2015), 424–438
A. A. Alikhanov, A. M. Apekov, A. Kh. Khibiev, “Higher-order approximation difference scheme for the generalized aller equation of fractional order”, Vladikavkaz. Mat. Zh., 23:3 (2021), 5–15
A. A. Alikhanov, M. KH. Beshtokov, M. H. Shhanukov-Lafishev, “Local one-dimensional scheme for the first initial-boundary value problem for the multidimensional fractional-order convection–diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 61:7 (2021), 1082–1100; Comput. Math. Math. Phys., 61:7 (2021), 1075–1093
2017
3.
S.Sh. Rekhviashvili, A. A. Alikhanov, “Simulation of drift-diffusion transport of charge carriers in semiconductor layers with a fractal structure in an alternating electric field”, Fizika i Tekhnika Poluprovodnikov, 51:6 (2017), 787–791; Semiconductors, 51:6 (2017), 755–759
A. A. Alikhanov, “Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 572–586; Comput. Math. Math. Phys., 56:4 (2016), 561–575
A. A. Alikhanov, “The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 15–23
A. A. Alikhanov, “Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 13–20
A. A. Alikhanov, A. M. Berezgov, M. H. Shhanukov-Lafishev, “Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1619–1628; Comput. Math. Math. Phys., 48:9 (2008), 1581–1590
A. A. Alikhanov, “К вопросу об аппроксимации дифференциального уравнения дробного порядка разностным уравнением”, Matem. Mod. Kraev. Zadachi, 3 (2005), 21–24
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