Fučík, Radek; Straka, Robert Equivalent finite difference and partial differential equations for the lattice Boltzmann method. (English) Zbl 07336202 Comput. Math. Appl. 90, 96-103 (2021). MSC: 65 35 PDF BibTeX XML Cite \textit{R. Fučík} and \textit{R. Straka}, Comput. Math. Appl. 90, 96--103 (2021; Zbl 07336202) Full Text: DOI
Aydın, Derya; Şahin, Serpil Solutions of linear parabolic equations with homotopy perturbation method. (English) Zbl 07335993 Palest. J. Math. 10, No. 1, 120-127 (2021). MSC: 35K05 65M06 PDF BibTeX XML Cite \textit{D. Aydın} and \textit{S. Şahin}, Palest. J. Math. 10, No. 1, 120--127 (2021; Zbl 07335993) Full Text: Link
Baccelli, François; Taillefumier, Thibaud The pair-replica-mean-field limit for intensity-based neural networks. (English) Zbl 07335798 SIAM J. Appl. Dyn. Syst. 20, No. 1, 165-207 (2021). MSC: 37H10 37M25 60K15 60K25 90B15 92B20 PDF BibTeX XML Cite \textit{F. Baccelli} and \textit{T. Taillefumier}, SIAM J. Appl. Dyn. Syst. 20, No. 1, 165--207 (2021; Zbl 07335798) Full Text: DOI
Khankhasaev, V. N.; Darmakheev, E. V. On certain applications of the hyperbolic heat transfer equation and methods for its solution. (English. Russian original) Zbl 07333572 J. Math. Sci., New York 254, No. 5, 677-685 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 155, 89-97 (2018). MSC: 80A17 65N06 PDF BibTeX XML Cite \textit{V. N. Khankhasaev} and \textit{E. V. Darmakheev}, J. Math. Sci., New York 254, No. 5, 677--685 (2021; Zbl 07333572); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 155, 89--97 (2018) Full Text: DOI
Mizhidon, A. D. Theoretical foundations of the study of a certain class of hybrid systems of differential equations. (English. Russian original) Zbl 07333570 J. Math. Sci., New York 254, No. 5, 625-651 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 155, 38-64 (2018). MSC: 39A20 PDF BibTeX XML Cite \textit{A. D. Mizhidon}, J. Math. Sci., New York 254, No. 5, 625--651 (2021; Zbl 07333570); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 155, 38--64 (2018) Full Text: DOI
Qiao, Baoping; Pan, Ziqiang; Huang, Weichuan; Cao, Chengyin An adaptive finite-difference method for accurate simulation of first-arrival traveltimes in heterogeneous media. (English) Zbl 07332969 Appl. Math. Comput. 394, Article ID 125792, 12 p. (2021). MSC: 65M 35L 78A PDF BibTeX XML Cite \textit{B. Qiao} et al., Appl. Math. Comput. 394, Article ID 125792, 12 p. (2021; Zbl 07332969) Full Text: DOI
Oruç, Ömer A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations. (English) Zbl 07332964 Appl. Math. Comput. 394, Article ID 125787, 16 p. (2021). MSC: 35Q 65M 35K PDF BibTeX XML Cite \textit{Ö. Oruç}, Appl. Math. Comput. 394, Article ID 125787, 16 p. (2021; Zbl 07332964) Full Text: DOI
Qiu, Wenlin; Xu, Da; Guo, Jing Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation. (English) Zbl 07332893 Appl. Math. Comput. 392, Article ID 125693, 16 p. (2021). MSC: 45K05 65M06 65M22 65M70 PDF BibTeX XML Cite \textit{W. Qiu} et al., Appl. Math. Comput. 392, Article ID 125693, 16 p. (2021; Zbl 07332893) Full Text: DOI
Chernogorova, Tatiana P.; Koleva, Miglena N.; Vulkov, Lubin G. Exponential finite difference scheme for transport equations with discontinuous coefficients in porous media. (English) Zbl 07332892 Appl. Math. Comput. 392, Article ID 125691, 16 p. (2021). MSC: 76S 65M 76T 76M PDF BibTeX XML Cite \textit{T. P. Chernogorova} et al., Appl. Math. Comput. 392, Article ID 125691, 16 p. (2021; Zbl 07332892) Full Text: DOI
Neoh, S. S.; Ismail, F. Time-explicit numerical methods for Maxwell’s equation in second-order form. (English) Zbl 07332883 Appl. Math. Comput. 392, Article ID 125669, 32 p. (2021). MSC: 76M 76N PDF BibTeX XML Cite \textit{S. S. Neoh} and \textit{F. Ismail}, Appl. Math. Comput. 392, Article ID 125669, 32 p. (2021; Zbl 07332883) Full Text: DOI
Gosse, Laurent Diffusive limit of a two-dimensional well-balanced scheme for the free Klein-Kramers equation. (English) Zbl 07331795 Multiscale Model. Simul. 19, No. 1, 568-587 (2021). MSC: 35Q84 65M06 76R50 82B40 PDF BibTeX XML Cite \textit{L. Gosse}, Multiscale Model. Simul. 19, No. 1, 568--587 (2021; Zbl 07331795) Full Text: DOI
Cocquet, Pierre-Henri; Gander, Martin J.; Xiang, Xueshuang Closed form dispersion corrections including a real shifted wavenumber for finite difference discretizations of 2D constant coefficient Helmholtz problems. (English) Zbl 07331668 SIAM J. Sci. Comput. 43, No. 1, A278-A308 (2021). MSC: 35J05 65N06 PDF BibTeX XML Cite \textit{P.-H. Cocquet} et al., SIAM J. Sci. Comput. 43, No. 1, A278--A308 (2021; Zbl 07331668) Full Text: DOI
Yang, Xiaojia; Ge, Yongbin; Lan, Bin A class of compact finite difference schemes for solving the 2D and 3D Burgers’ equations. (English) Zbl 07331073 Math. Comput. Simul. 185, 510-534 (2021). MSC: 65 76 PDF BibTeX XML Cite \textit{X. Yang} et al., Math. Comput. Simul. 185, 510--534 (2021; Zbl 07331073) Full Text: DOI
Zheng, Xiangcheng; Li, Yiqun; Cheng, Jin; Wang, Hong Inverting the variable fractional order in a variable-order space-fractional diffusion equation with variable diffusivity: analysis and simulation. (English) Zbl 07330239 J. Inverse Ill-Posed Probl. 29, No. 2, 219-231 (2021). MSC: 65 34A08 34A55 PDF BibTeX XML Cite \textit{X. Zheng} et al., J. Inverse Ill-Posed Probl. 29, No. 2, 219--231 (2021; Zbl 07330239) Full Text: DOI
Liu, Jingmei; Liang, Xiao; Xu, Juanjuan Solution to the forward and backward stochastic difference equations with asymmetric information and application. (English) Zbl 07330167 Appl. Math. Comput. 390, Article ID 125594, 8 p. (2021). MSC: 93E20 39A20 PDF BibTeX XML Cite \textit{J. Liu} et al., Appl. Math. Comput. 390, Article ID 125594, 8 p. (2021; Zbl 07330167) Full Text: DOI
Chen, Yu Xian; Xu, Hong Yan Exact forms of entire solutions for Fermat type partial differential equations in \(\mathbb{C}^2\). (English) Zbl 07329792 Electron. J. Differ. Equ. 2021, Paper No. 18, 11 p. (2021). MSC: 30D35 35M30 32W50 39A45 PDF BibTeX XML Cite \textit{Y. X. Chen} and \textit{H. Y. Xu}, Electron. J. Differ. Equ. 2021, Paper No. 18, 11 p. (2021; Zbl 07329792) Full Text: Link
Rouhani, Behzad Djafari; Piranfar, Mohsen Rahimi Asymptotic behavior for a quasi-autonomous gradient system of expansive type governed by a quasiconvex function. (English) Zbl 07329789 Electron. J. Differ. Equ. 2021, Paper No. 15, 13 p. (2021). MSC: 34G20 47J35 39A30 37N40 PDF BibTeX XML Cite \textit{B. D. Rouhani} and \textit{M. R. Piranfar}, Electron. J. Differ. Equ. 2021, Paper No. 15, 13 p. (2021; Zbl 07329789) Full Text: Link
Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1], \Omega)\). (English) Zbl 07329306 Appl. Math. Comput. 389, Article ID 125574, 15 p. (2021). MSC: 34A08 39A12 47D99 65J10 65M22 PDF BibTeX XML Cite \textit{L. Liu} et al., Appl. Math. Comput. 389, Article ID 125574, 15 p. (2021; Zbl 07329306) Full Text: DOI
Schmidt, Heinz-Jürgen; Schnack, Jürgen; Holthaus, Martin Floquet theory of the analytical solution of a periodically driven two-level system. (English) Zbl 07328933 Appl. Anal. 100, No. 5, 992-1009 (2021). MSC: 81V80 34L40 33E30 33C15 PDF BibTeX XML Cite \textit{H.-J. Schmidt} et al., Appl. Anal. 100, No. 5, 992--1009 (2021; Zbl 07328933) Full Text: DOI
Ryan, S. D.; McCarthy, Z.; Potomkin, M. Motor protein transport along inhomogeneous microtubules. (English) Zbl 07328498 Bull. Math. Biol. 83, No. 2, Paper No. 9, 29 p. (2021). MSC: 92C37 92C20 92C32 39A60 34C60 PDF BibTeX XML Cite \textit{S. D. Ryan} et al., Bull. Math. Biol. 83, No. 2, Paper No. 9, 29 p. (2021; Zbl 07328498) Full Text: DOI
Fakih, Hussein; Mghames, Ragheb; Nasreddine, Noura On the Cahn-Hilliard equation with mass source for biological applications. (English) Zbl 07327291 Commun. Pure Appl. Anal. 20, No. 2, 495-510 (2021). MSC: 35Q92 92C37 65M60 65M06 65N30 65M12 65M15 35B35 35J60 35A01 35A02 68U05 PDF BibTeX XML Cite \textit{H. Fakih} et al., Commun. Pure Appl. Anal. 20, No. 2, 495--510 (2021; Zbl 07327291) Full Text: DOI
Pang, Hong-Kui; Qin, Hai-Hua; Sun, Hai-Wei; Ma, Ting-Ting Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations. (English) Zbl 07327224 Comput. Math. Appl. 85, 18-29 (2021). MSC: 65 26 PDF BibTeX XML Cite \textit{H.-K. Pang} et al., Comput. Math. Appl. 85, 18--29 (2021; Zbl 07327224) Full Text: DOI
Li, Xun; Tai, Allen H.; Tian, Fei A discrete-time mean-field stochastic linear-quadratic optimal control problem with financial application. (English) Zbl 07325664 Int. J. Control 94, No. 1, 175-189 (2021). MSC: 93E20 93C55 49N80 49N10 93B52 91G10 PDF BibTeX XML Cite \textit{X. Li} et al., Int. J. Control 94, No. 1, 175--189 (2021; Zbl 07325664) Full Text: DOI
Tang, H. S.; Li, L.; Grossberg, M.; Liu, Y. J.; Jia, Y. M.; Li, S. S.; Dong, W. B. An exploratory study on machine learning to couple numerical solutions of partial differential equations. (English) Zbl 07323672 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105729, 11 p. (2021). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N55 65N06 68T07 35J05 35K20 PDF BibTeX XML Cite \textit{H. S. Tang} et al., Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105729, 11 p. (2021; Zbl 07323672) Full Text: DOI
Li, Xuhao; Wong, Patricia J. Y. Generalized Alikhanov’s approximation and numerical treatment of generalized fractional sub-diffusion equations. (English) Zbl 07323664 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105719, 18 p. (2021). MSC: 65M06 35R11 26A33 PDF BibTeX XML Cite \textit{X. Li} and \textit{P. J. Y. Wong}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105719, 18 p. (2021; Zbl 07323664) Full Text: DOI
Wang, Jinxiang Existence of non-spurious solutions to discrete fourth-order Lidstone boundary value problems. (English) Zbl 07323142 Bull. Iran. Math. Soc. 47, No. 2, 287-306 (2021). MSC: 39A27 39A12 34B15 PDF BibTeX XML Cite \textit{J. Wang}, Bull. Iran. Math. Soc. 47, No. 2, 287--306 (2021; Zbl 07323142) Full Text: DOI
Budzinskiy, Stanislav; Razgulin, Alexander Pulsating and rotating spirals in a delayed feedback diffractive nonlinear optical system. (English) Zbl 07321530 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 1, Article ID 2130002, 19 p. (2021). MSC: 78A60 78A45 35J05 35B36 35B32 35R07 65M06 65T50 65F05 PDF BibTeX XML Cite \textit{S. Budzinskiy} and \textit{A. Razgulin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 1, Article ID 2130002, 19 p. (2021; Zbl 07321530) Full Text: DOI
Zaitseva, N. V. Classical solutions of hyperbolic differential-difference equations with several nonlocal terms. (English) Zbl 07319684 Lobachevskii J. Math. 42, No. 1, 231-236 (2021). MSC: 35R10 35L10 35A01 39A12 PDF BibTeX XML Cite \textit{N. V. Zaitseva}, Lobachevskii J. Math. 42, No. 1, 231--236 (2021; Zbl 07319684) Full Text: DOI
Vabishchevich, P. N. An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. (English) Zbl 07319229 J. Comput. Appl. Math. 391, Article ID 113460, 14 p. (2021). MSC: 65 35R11 65F60 65D32 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 391, Article ID 113460, 14 p. (2021; Zbl 07319229) Full Text: DOI
De l’Isle, François; Owens, Robert G. Superconsistent collocation methods with applications to convection-dominated convection-diffusion equations. (English) Zbl 07319201 J. Comput. Appl. Math. 391, Article ID 113367, 22 p. (2021). MSC: 65N06 01A 65N 35J PDF BibTeX XML Cite \textit{F. De l'Isle} and \textit{R. G. Owens}, J. Comput. Appl. Math. 391, Article ID 113367, 22 p. (2021; Zbl 07319201) Full Text: DOI
Macías-Díaz, J. E. A dissipation-preserving scheme to approximate radially symmetric solutions of the Higgs boson equation in the de Sitter space-time. (English) Zbl 07319189 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105698, 20 p. (2021). MSC: 65Mxx 65Qxx PDF BibTeX XML Cite \textit{J. E. Macías-Díaz}, Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105698, 20 p. (2021; Zbl 07319189) Full Text: DOI
Yoshikawa, Shuji; Kawashima, Shuichi Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws. (English) Zbl 07318443 J. Math. Anal. Appl. 498, No. 1, Article ID 124929, 18 p. (2021). MSC: 35L45 35L60 39A12 35A35 65M06 PDF BibTeX XML Cite \textit{S. Yoshikawa} and \textit{S. Kawashima}, J. Math. Anal. Appl. 498, No. 1, Article ID 124929, 18 p. (2021; Zbl 07318443) Full Text: DOI
Dimitrienko, Yu. I.; Li, Shuguang; Niu, Yi Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme. (English) Zbl 07318276 Math. Comput. Simul. 182, 661-689 (2021). MSC: 35Q 37K PDF BibTeX XML Cite \textit{Yu. I. Dimitrienko} et al., Math. Comput. Simul. 182, 661--689 (2021; Zbl 07318276) Full Text: DOI
Xing, Zhiyong; Wen, Liping; Wang, Wansheng An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional sine-Gordon equations. (English) Zbl 07318238 Math. Comput. Simul. 181, 624-641 (2021). MSC: 39A 65M 35R PDF BibTeX XML Cite \textit{Z. Xing} et al., Math. Comput. Simul. 181, 624--641 (2021; Zbl 07318238) Full Text: DOI
Dwivedi, Kushal Dhar; Singh, Jagdev Numerical solution of two-dimensional fractional-order reaction advection sub-diffusion equation with finite-difference Fibonacci collocation method. (English) Zbl 07318208 Math. Comput. Simul. 181, 38-50 (2021). MSC: 65M 35R PDF BibTeX XML Cite \textit{K. D. Dwivedi} and \textit{J. Singh}, Math. Comput. Simul. 181, 38--50 (2021; Zbl 07318208) Full Text: DOI
Butt, Muhammad Munir Two-level difference scheme for the two-dimensional Fokker-Planck equation. (English) Zbl 07318196 Math. Comput. Simul. 180, 276-288 (2021). MSC: 49K 35Q 60G 35K 65C PDF BibTeX XML Cite \textit{M. M. Butt}, Math. Comput. Simul. 180, 276--288 (2021; Zbl 07318196) Full Text: DOI
Ran, Maohua; Zhou, Xiaoyi An implicit difference scheme for the time-fractional Cahn-Hilliard equations. (English) Zbl 07318185 Math. Comput. Simul. 180, 61-71 (2021). MSC: 35Q 65M 35R PDF BibTeX XML Cite \textit{M. Ran} and \textit{X. Zhou}, Math. Comput. Simul. 180, 61--71 (2021; Zbl 07318185) Full Text: DOI
Zlotnik, Alexander; Čiegis, Raimondas A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes. (English) Zbl 07317516 Appl. Math. Lett. 115, Article ID 106949, 8 p. (2021). MSC: 65 76 PDF BibTeX XML Cite \textit{A. Zlotnik} and \textit{R. Čiegis}, Appl. Math. Lett. 115, Article ID 106949, 8 p. (2021; Zbl 07317516) Full Text: DOI
Ishizaki, Katsuya; Wen, Zhi-Tao Binomial series and complex difference equations. (English) Zbl 07317176 J. Math. Anal. Appl. 497, No. 1, Article ID 124844, 16 p. (2021). MSC: 30 39 PDF BibTeX XML Cite \textit{K. Ishizaki} and \textit{Z.-T. Wen}, J. Math. Anal. Appl. 497, No. 1, Article ID 124844, 16 p. (2021; Zbl 07317176) Full Text: DOI
Řehák, Pavel Asymptotics of perturbed discrete Euler equations in the critical case. (English) Zbl 07316442 J. Math. Anal. Appl. 496, No. 2, Article ID 124825, 10 p. (2021). MSC: 39A21 39A22 PDF BibTeX XML Cite \textit{P. Řehák}, J. Math. Anal. Appl. 496, No. 2, Article ID 124825, 10 p. (2021; Zbl 07316442) Full Text: DOI
Guo, Zhiming; Guo, Hongpeng; Chen, Yuming Traveling wavefronts of a delayed temporally discrete reaction-diffusion equation. (English) Zbl 07316098 J. Math. Anal. Appl. 496, No. 1, Article ID 124787, 23 p. (2021). MSC: 39A14 39A12 35K57 PDF BibTeX XML Cite \textit{Z. Guo} et al., J. Math. Anal. Appl. 496, No. 1, Article ID 124787, 23 p. (2021; Zbl 07316098) Full Text: DOI
Parovik, R. I. On a finite-difference scheme for an hereditary oscillatory equation. (English. Russian original) Zbl 07315949 J. Math. Sci., New York 253, No. 4, 547-557 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 154, 89-98 (2018). MSC: 65L 65M PDF BibTeX XML Cite \textit{R. I. Parovik}, J. Math. Sci., New York 253, No. 4, 547--557 (2021; Zbl 07315949); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 154, 89--98 (2018) Full Text: DOI
Cakir, Musa; Gunes, Baransel; Duru, Hakki A novel computational method for solving nonlinear Volterra integro-differential equation. (English) Zbl 07314217 Kuwait J. Sci. 48, No. 1, 1-9 (2021). MSC: 65 41 PDF BibTeX XML Cite \textit{M. Cakir} et al., Kuwait J. Sci. 48, No. 1, 1--9 (2021; Zbl 07314217) Full Text: DOI
Lefebvre, Mario; Moutassim, Abderrazak Exact solutions to the homing problem for a Wiener process with jumps. (English) Zbl 07313468 Optimization 70, No. 2, 307-319 (2021). MSC: 93E20 60J70 93C15 PDF BibTeX XML Cite \textit{M. Lefebvre} and \textit{A. Moutassim}, Optimization 70, No. 2, 307--319 (2021; Zbl 07313468) Full Text: DOI
Zhou, Yanjie; Zhang, Yanan; Liang, Ye; Luo, Zhendong A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation. (English) Zbl 07311186 Appl. Numer. Math. 162, 192-200 (2021). MSC: 35Q53 35G20 65M06 65M12 65M99 65B05 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Appl. Numer. Math. 162, 192--200 (2021; Zbl 07311186) Full Text: DOI
Li, Jiyong; Wang, Tingchun Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation. (English) Zbl 07311184 Appl. Numer. Math. 162, 150-170 (2021). MSC: 81Q05 81R20 35Q55 65L12 35R20 81R05 35G30 81-10 PDF BibTeX XML Cite \textit{J. Li} and \textit{T. Wang}, Appl. Numer. Math. 162, 150--170 (2021; Zbl 07311184) Full Text: DOI
Bohaienko, Vsevolod On the recurrent computation of fractional operator with Mittag-Leffler kernel. (English) Zbl 07311183 Appl. Numer. Math. 162, 137-149 (2021). MSC: 65M06 65N06 35R11 26A33 33E12 PDF BibTeX XML Cite \textit{V. Bohaienko}, Appl. Numer. Math. 162, 137--149 (2021; Zbl 07311183) Full Text: DOI
Gracia, Jose Luis; O’Riordan, Eugene Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition. (English) Zbl 07311181 Appl. Numer. Math. 162, 106-123 (2021). MSC: 65M06 65M15 PDF BibTeX XML Cite \textit{J. L. Gracia} and \textit{E. O'Riordan}, Appl. Numer. Math. 162, 106--123 (2021; Zbl 07311181) Full Text: DOI
Lin, Xue-lei; Ng, Micheal K.; Wathen, Andy Preconditioners for multilevel Toeplitz linear systems from steady-state and evolutionary advection-diffusion equations. (English) Zbl 07310829 Appl. Numer. Math. 161, 469-488 (2021). MSC: 65N06 65T50 65F08 65F10 15B05 35P15 PDF BibTeX XML Cite \textit{X.-l. Lin} et al., Appl. Numer. Math. 161, 469--488 (2021; Zbl 07310829) Full Text: DOI
Srivastava, Nikhil; Singh, Aman; Kumar, Yashveer; Singh, Vineet Kumar Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix. (English) Zbl 07310817 Appl. Numer. Math. 161, 244-274 (2021). MSC: 65M06 65M12 65M15 42C10 41A50 35R11 PDF BibTeX XML Cite \textit{N. Srivastava} et al., Appl. Numer. Math. 161, 244--274 (2021; Zbl 07310817) Full Text: DOI
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. (English) Zbl 07310800 Appl. Numer. Math. 161, 1-12 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65M06 35R11 PDF BibTeX XML Cite \textit{X. Zheng} et al., Appl. Numer. Math. 161, 1--12 (2021; Zbl 07310800) Full Text: DOI
Nanta, Supawan; Yimnet, Suriyon; Poochinapan, Kanyuta; Wongsaijai, Ben On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities. (English) Zbl 07310781 Appl. Numer. Math. 160, 386-421 (2021). MSC: 65M06 65M12 PDF BibTeX XML Cite \textit{S. Nanta} et al., Appl. Numer. Math. 160, 386--421 (2021; Zbl 07310781) Full Text: DOI
Fu, Yayun; Cai, Wenjun; Wang, Yushun A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach. (English) Zbl 07310780 Appl. Numer. Math. 160, 368-385 (2021). MSC: 65M06 65N06 65M12 65T50 35R11 35Q53 PDF BibTeX XML Cite \textit{Y. Fu} et al., Appl. Numer. Math. 160, 368--385 (2021; Zbl 07310780) Full Text: DOI
Zaky, Mahmoud A.; Hendy, Ahmed S. An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe. (English) Zbl 07310775 Appl. Numer. Math. 160, 281-295 (2021). MSC: 35Q75 83C10 83C15 83C40 65M06 65M70 65N30 65M12 65M15 42C10 65P10 PDF BibTeX XML Cite \textit{M. A. Zaky} and \textit{A. S. Hendy}, Appl. Numer. Math. 160, 281--295 (2021; Zbl 07310775) Full Text: DOI
Albuja, Guillermo; Ávila, Andrés I. A family of new globally convergent linearization schemes for solving Richards’ equation. (English) Zbl 07310757 Appl. Numer. Math. 159, 281-296 (2021). MSC: 65M06 65N30 65H10 35K65 76S05 35Q35 PDF BibTeX XML Cite \textit{G. Albuja} and \textit{A. I. Ávila}, Appl. Numer. Math. 159, 281--296 (2021; Zbl 07310757) Full Text: DOI
Qiu, Wenlin; Xu, Da; Guo, Jing The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. (English) Zbl 07310755 Appl. Numer. Math. 159, 239-258 (2021). MSC: 65M60 65M70 65M12 45K05 45E10 35R09 65D30 15B05 35R11 65M06 PDF BibTeX XML Cite \textit{W. Qiu} et al., Appl. Numer. Math. 159, 239--258 (2021; Zbl 07310755) Full Text: DOI
Xing, Zhiyong; Wen, Liping; Xiao, Hanyu A fourth-order conservative difference scheme for the Riesz space-fractional Sine-Gordon equations and its fast implementation. (English) Zbl 07310754 Appl. Numer. Math. 159, 221-238 (2021). MSC: 65M06 65M12 65H10 65T50 15B05 35R11 35Q53 PDF BibTeX XML Cite \textit{Z. Xing} et al., Appl. Numer. Math. 159, 221--238 (2021; Zbl 07310754) Full Text: DOI
Branquinho, Amílcar; Foulquié Moreno, Ana; Mañas, Manuel Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective. (English) Zbl 07310648 J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 37K20 37K60 39A36 37J70 37J65 33C47 33E17 34M55 34M50 15A16 PDF BibTeX XML Cite \textit{A. Branquinho} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021; Zbl 07310648) Full Text: DOI
Chung, Francis; Yang, Tianyu; Yang, Yang Ultrasound modulated bioluminescence tomography with a single optical measurement. (English) Zbl 07310608 Inverse Probl. 37, No. 1, Article ID 015004, 19 p. (2021). MSC: 35Q92 92C55 35Q60 78A40 78A45 78A46 35Q35 76Q05 35R09 35R30 35R25 65N20 65N21 65N06 PDF BibTeX XML Cite \textit{F. Chung} et al., Inverse Probl. 37, No. 1, Article ID 015004, 19 p. (2021; Zbl 07310608) Full Text: DOI
Linh, Vu Hoang; Ha, Phi Index reduction for second order singular systems of difference equations. (English) Zbl 07309768 Linear Algebra Appl. 608, 107-132 (2021). MSC: 39A05 39A06 93C05 15A22 PDF BibTeX XML Cite \textit{V. H. Linh} and \textit{P. Ha}, Linear Algebra Appl. 608, 107--132 (2021; Zbl 07309768) Full Text: DOI
Liu, Hailiang; Yin, Peimeng Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation. (English) Zbl 07309642 J. Comput. Appl. Math. 390, Article ID 113375, 19 p. (2021). MSC: 65N30 65M06 65N12 PDF BibTeX XML Cite \textit{H. Liu} and \textit{P. Yin}, J. Comput. Appl. Math. 390, Article ID 113375, 19 p. (2021; Zbl 07309642) Full Text: DOI
Lü, Shujuan; Xu, Tao; Feng, Zhaosheng A second-order numerical method for space-time variable-order diffusion equation. (English) Zbl 07309616 J. Comput. Appl. Math. 389, Article ID 113358, 17 p. (2021). MSC: 65M06 65M12 26A33 PDF BibTeX XML Cite \textit{S. Lü} et al., J. Comput. Appl. Math. 389, Article ID 113358, 17 p. (2021; Zbl 07309616) Full Text: DOI
Zhang, Qifeng; Zhang, Lu; Sun, Hai-wei A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 07309613 J. Comput. Appl. Math. 389, Article ID 113355, 20 p. (2021). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M06 65N06 65M12 65T50 65F08 65F10 15B05 35R11 35Q56 PDF BibTeX XML Cite \textit{Q. Zhang} et al., J. Comput. Appl. Math. 389, Article ID 113355, 20 p. (2021; Zbl 07309613) Full Text: DOI
Bezandry, Paul H. Asymptotic behavior of difference equations under rational expectations. (English) Zbl 07309265 J. Nonlinear Evol. Equ. Appl. 2021, 21-40 (2021). MSC: 39A50 37H10 PDF BibTeX XML Cite \textit{P. H. Bezandry}, J. Nonlinear Evol. Equ. Appl. 2021, 21--40 (2021; Zbl 07309265) Full Text: Link
Niggemann, Oliver; Seifert, Udo Numerical study of the thermodynamic uncertainty relation for the KPZ-equation. (English) Zbl 07308636 J. Stat. Phys. 182, No. 2, Paper No. 25, 30 p. (2021). MSC: 82C31 82M20 60H15 35Q82 60G PDF BibTeX XML Cite \textit{O. Niggemann} and \textit{U. Seifert}, J. Stat. Phys. 182, No. 2, Paper No. 25, 30 p. (2021; Zbl 07308636) Full Text: DOI
Achouri, Talha; Kadri, Tlili; Omrani, Khaled Analysis of finite difference schemes for a fourth-order strongly damped nonlinear wave equations. (English) Zbl 07308004 Comput. Math. Appl. 82, 74-96 (2021). MSC: 65 35 PDF BibTeX XML Cite \textit{T. Achouri} et al., Comput. Math. Appl. 82, 74--96 (2021; Zbl 07308004) Full Text: DOI
Koley, Ujjwal; Ray, Deep; Sarkar, Tanmay Multilevel Monte Carlo finite difference methods for fractional conservation laws with random data. (English) Zbl 07307678 SIAM/ASA J. Uncertain. Quantif. 9, 65-105 (2021). MSC: 65M06 65C05 65M12 35L65 35R11 35R60 PDF BibTeX XML Cite \textit{U. Koley} et al., SIAM/ASA J. Uncertain. Quantif. 9, 65--105 (2021; Zbl 07307678) Full Text: DOI
Dastour, Hatef; Liao, Wenyuan An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition. (English) Zbl 07307382 Numer. Algorithms 86, No. 3, 1109-1141 (2021). MSC: 65N06 35J05 PDF BibTeX XML Cite \textit{H. Dastour} and \textit{W. Liao}, Numer. Algorithms 86, No. 3, 1109--1141 (2021; Zbl 07307382) Full Text: DOI
Benito, J. J.; García, Angelo; Gavete, L.; Negreanu, M.; Ureña, F.; Vargas, A. M. Solving Monge-Ampère equation in 2D and 3D by generalized finite difference method. (English) Zbl 07305296 Eng. Anal. Bound. Elem. 124, 52-63 (2021). MSC: 65 35 PDF BibTeX XML Cite \textit{J. J. Benito} et al., Eng. Anal. Bound. Elem. 124, 52--63 (2021; Zbl 07305296) Full Text: DOI
Guo, Jing; Wang, Cheng; Wise, Steven M.; Yue, Xingye An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation. (English) Zbl 07305225 J. Comput. Appl. Math. 388, Article ID 113300, 17 p. (2021). MSC: 65M06 35K30 65M12 65M15 65T40 PDF BibTeX XML Cite \textit{J. Guo} et al., J. Comput. Appl. Math. 388, Article ID 113300, 17 p. (2021; Zbl 07305225) Full Text: DOI
Huang, Weizhang; Kamenski, Lennard; Lang, Jens Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes. (English) Zbl 1456.65114 J. Comput. Appl. Math. 387, Article ID 112497, 18 p. (2021). MSC: 65M60 65M06 65L06 65N30 65M50 65F08 65F10 65F35 65F15 35K10 PDF BibTeX XML Cite \textit{W. Huang} et al., J. Comput. Appl. Math. 387, Article ID 112497, 18 p. (2021; Zbl 1456.65114) Full Text: DOI
Krämer, Patrick; Schratz, Katharina; Zhao, Xiaofei Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. (English) Zbl 07305177 J. Comput. Appl. Math. 387, Article ID 112494, 16 p. (2021). MSC: 78A35 78M20 78M22 65M06 65N35 65M12 65M15 81Q05 35Q41 PDF BibTeX XML Cite \textit{P. Krämer} et al., J. Comput. Appl. Math. 387, Article ID 112494, 16 p. (2021; Zbl 07305177) Full Text: DOI
Eidnes, Sølve; Li, Lu; Sato, Shun Linearly implicit structure-preserving schemes for Hamiltonian systems. (English) Zbl 1456.65063 J. Comput. Appl. Math. 387, Article ID 112489, 13 p. (2021). MSC: 65M06 65P10 35Q53 PDF BibTeX XML Cite \textit{S. Eidnes} et al., J. Comput. Appl. Math. 387, Article ID 112489, 13 p. (2021; Zbl 1456.65063) Full Text: DOI
Xu, Qiuyan; An, Hengbin A class of domain decomposition based nonlinear explicit-implicit iteration algorithms for solving diffusion equations with discontinuous coefficient. (English) Zbl 1456.65099 J. Comput. Appl. Math. 386, Article ID 113232, 24 p. (2021). MSC: 65M55 65M06 35K55 85A25 80A21 85-08 35Q85 PDF BibTeX XML Cite \textit{Q. Xu} and \textit{H. An}, J. Comput. Appl. Math. 386, Article ID 113232, 24 p. (2021; Zbl 1456.65099) Full Text: DOI
Tao, Qi; Xu, Yan; Shu, Chi-Wang A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations. (English) Zbl 1456.65124 J. Comput. Appl. Math. 386, Article ID 113230, 17 p. (2021). MSC: 65M60 65M06 65N30 65M15 74K10 74K20 74H45 35Q74 PDF BibTeX XML Cite \textit{Q. Tao} et al., J. Comput. Appl. Math. 386, Article ID 113230, 17 p. (2021; Zbl 1456.65124) Full Text: DOI
Golénia, Sylvain; Mandich, Marc-Adrien Limiting absorption principle for discrete Schrödinger operators with a Wigner-von Neumann potential and a slowly decaying potential. (English) Zbl 07303651 Ann. Henri Poincaré 22, No. 1, 83-120 (2021). Reviewer: Jonathan Rohleder (Stockholm) MSC: 81Q10 47B25 47A10 47A40 35J10 46E30 46E35 39A70 PDF BibTeX XML Cite \textit{S. Golénia} and \textit{M.-A. Mandich}, Ann. Henri Poincaré 22, No. 1, 83--120 (2021; Zbl 07303651) Full Text: DOI
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji Maximizing the total population with logistic growth in a patchy environment. (English) Zbl 1456.49041 J. Math. Biol. 82, No. 1-2, Paper No. 2, 50 p. (2021). MSC: 49S05 49J15 92D25 39A12 PDF BibTeX XML Cite \textit{K. Nagahara} et al., J. Math. Biol. 82, No. 1--2, Paper No. 2, 50 p. (2021; Zbl 1456.49041) Full Text: DOI
Oğul, Burak; Simşek, Dağıstan; Ibrahim, Tarek F. Solution of rational difference equation. (English) Zbl 1456.39001 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 28, No. 2, 125-141 (2021). MSC: 39A10 39A30 PDF BibTeX XML Cite \textit{B. Oğul} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 28, No. 2, 125--141 (2021; Zbl 1456.39001) Full Text: Link
Akrivis, Georgios; Li, Buyang; Wang, Jilu Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. (English) Zbl 1456.65057 SIAM J. Numer. Anal. 59, No. 1, 265-288 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65N30 65M12 65M15 65H10 35L60 76U05 35Q35 PDF BibTeX XML Cite \textit{G. Akrivis} et al., SIAM J. Numer. Anal. 59, No. 1, 265--288 (2021; Zbl 1456.65057) Full Text: DOI
Durmaz, Muhammet Enes; Amiraliyev, Gabil M. A robust numerical method for a singularly perturbed Fredholm integro-differential equation. (English) Zbl 07302517 Mediterr. J. Math. 18, No. 1, Paper No. 24, 17 p. (2021). MSC: 65L11 65L12 65L20 65R20 45J05 PDF BibTeX XML Cite \textit{M. E. Durmaz} and \textit{G. M. Amiraliyev}, Mediterr. J. Math. 18, No. 1, Paper No. 24, 17 p. (2021; Zbl 07302517) Full Text: DOI
Chu, Kwunlun; Leung, Shingyu A level set method for the Dirichlet \(k\)-partition problem. (English) Zbl 07301289 J. Sci. Comput. 86, No. 1, Paper No. 11, 32 p. (2021). MSC: 65M06 65M12 65N25 65K10 49J20 49M25 35K05 PDF BibTeX XML Cite \textit{K. Chu} and \textit{S. Leung}, J. Sci. Comput. 86, No. 1, Paper No. 11, 32 p. (2021; Zbl 07301289) Full Text: DOI
Feng, Hongsong; Long, Guangqing; Zhao, Shan FFT-based high order central difference schemes for Poisson’s equation with staggered boundaries. (English) Zbl 1456.65140 J. Sci. Comput. 86, No. 1, Paper No. 7, 25 p. (2021). MSC: 65N06 65T50 65N85 35J05 PDF BibTeX XML Cite \textit{H. Feng} et al., J. Sci. Comput. 86, No. 1, Paper No. 7, 25 p. (2021; Zbl 1456.65140) Full Text: DOI
Chen, Jinqiang; Yu, Peixiang; Ouyang, Hua; Tian, Zhen F. A novel parallel computing strategy for compact difference schemes with consistent accuracy and dispersion. (English) Zbl 1456.65060 J. Sci. Comput. 86, No. 1, Paper No. 5, 32 p. (2021). MSC: 65M06 65M15 65Y05 76N06 35Q31 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Sci. Comput. 86, No. 1, Paper No. 5, 32 p. (2021; Zbl 1456.65060) Full Text: DOI
Sun, Hong; Sun, Zhi-zhong A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. (English) Zbl 07300821 Numer. Algorithms 86, No. 2, 761-797 (2021). MSC: 65 PDF BibTeX XML Cite \textit{H. Sun} and \textit{Z.-z. Sun}, Numer. Algorithms 86, No. 2, 761--797 (2021; Zbl 07300821) Full Text: DOI
Baias, Alina Ramona; Popa, Dorian On the best Ulam constant of a higher order linear difference equation. (English) Zbl 1456.39002 Bull. Sci. Math. 166, Article ID 102928, 13 p. (2021). MSC: 39A30 39A06 PDF BibTeX XML Cite \textit{A. R. Baias} and \textit{D. Popa}, Bull. Sci. Math. 166, Article ID 102928, 13 p. (2021; Zbl 1456.39002) Full Text: DOI
Lee, Chaeyoung; Kim, Hyundong; Yoon, Sungha; Kim, Sangkwon; Lee, Dongsun; Park, Jinate; Kwak, Soobin; Yang, Junxiang; Wang, Jian; Kim, Junseok An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy. (English) Zbl 07299052 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105658, 19 p. (2021). MSC: 65M06 65M55 65D05 76D05 35Q35 PDF BibTeX XML Cite \textit{C. Lee} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105658, 19 p. (2021; Zbl 07299052) Full Text: DOI
Lorin, Emmanuel Numerical analysis of the exact factorization of molecular time-dependent Schrödinger wavefunctions. (English) Zbl 07299031 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105627, 22 p. (2021). MSC: 65M06 65M12 35Q55 PDF BibTeX XML Cite \textit{E. Lorin}, Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105627, 22 p. (2021; Zbl 07299031) Full Text: DOI
Feng, Xinlong; He, Ruijian; Chen, Zhangxin Superconvergence in \(H^1\)-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh. (English) Zbl 1456.65065 Numer. Algorithms 86, No. 1, 357-395 (2021). MSC: 65M06 65M60 65M12 35K05 80A19 35Q79 35J05 PDF BibTeX XML Cite \textit{X. Feng} et al., Numer. Algorithms 86, No. 1, 357--395 (2021; Zbl 1456.65065) Full Text: DOI
Shi, Dongyang; Li, Chaoqun Superconvergence analysis of two-grid methods for bacteria equations. (English) Zbl 1456.65122 Numer. Algorithms 86, No. 1, 123-152 (2021). MSC: 65M60 65M06 65M55 65Z05 65M12 35K40 92C50 PDF BibTeX XML Cite \textit{D. Shi} and \textit{C. Li}, Numer. Algorithms 86, No. 1, 123--152 (2021; Zbl 1456.65122) Full Text: DOI
Hu, Jingwei; Shu, Ruiwen On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations. (English) Zbl 1456.65068 Math. Comput. 90, No. 328, 641-670 (2021). MSC: 65M06 65M70 65M60 65M12 65L04 65L06 35L03 35L60 82C40 PDF BibTeX XML Cite \textit{J. Hu} and \textit{R. Shu}, Math. Comput. 90, No. 328, 641--670 (2021; Zbl 1456.65068) Full Text: DOI
Cancès, Clément; Nabet, Flore; Vohralík, Martin Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations. (English) Zbl 1456.65105 Math. Comput. 90, No. 328, 517-563 (2021). MSC: 65M60 65M06 65M12 35K65 65M15 35Q84 PDF BibTeX XML Cite \textit{C. Cancès} et al., Math. Comput. 90, No. 328, 517--563 (2021; Zbl 1456.65105) Full Text: DOI
Zhang, Guoping; Cai, Mingchao Normal mode analysis of 3D incompressible viscous fluid flow models. (English) Zbl 1455.65143 Appl. Anal. 100, No. 1, 116-134 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 76D05 76D07 97N40 39A12 35Q30 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{M. Cai}, Appl. Anal. 100, No. 1, 116--134 (2021; Zbl 1455.65143) Full Text: DOI
Mohammadi, Reza Numerical approximation for viscous Cahn-Hilliard equation via septic B-spline. (English) Zbl 1454.65063 Appl. Anal. 100, No. 1, 93-115 (2021). MSC: 65M06 65D07 65N35 65M12 65M15 35Q35 76M20 PDF BibTeX XML Cite \textit{R. Mohammadi}, Appl. Anal. 100, No. 1, 93--115 (2021; Zbl 1454.65063) Full Text: DOI
Jagtap, Ameya D. On spatio-temporal dynamics of sine-Gordon soliton in nonlinear non-homogeneous media using fully implicit spectral element scheme. (English) Zbl 1455.65133 Appl. Anal. 100, No. 1, 37-60 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M70 35C08 65M12 58J45 35L70 35L20 35Q51 PDF BibTeX XML Cite \textit{A. D. Jagtap}, Appl. Anal. 100, No. 1, 37--60 (2021; Zbl 1455.65133) Full Text: DOI
Reuter, Balthasar; Hajduk, Hennes; Rupp, Andreas; Frank, Florian; Aizinger, Vadym; Knabner, Peter FESTUNG 1.0: overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods. (English) Zbl 07288705 Comput. Math. Appl. 81, 3-41 (2021). MSC: 76M10 76M20 76B10 PDF BibTeX XML Cite \textit{B. Reuter} et al., Comput. Math. Appl. 81, 3--41 (2021; Zbl 07288705) Full Text: DOI
Garifullin, R. N.; Yamilov, R. I. On the integrability of lattice equations with two continuum limits. (English. Russian original) Zbl 1456.37082 J. Math. Sci., New York 252, No. 2, 283-289 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 159-164 (2018). MSC: 37K60 39A36 39A12 PDF BibTeX XML Cite \textit{R. N. Garifullin} and \textit{R. I. Yamilov}, J. Math. Sci., New York 252, No. 2, 283--289 (2021; Zbl 1456.37082); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 159--164 (2018) Full Text: DOI
Cen, Dakang; Wang, Zhibo; Mo, Yan Second order difference schemes for time-fractional KdV-Burgers’ equation with initial singularity. (English) Zbl 1453.65210 Appl. Math. Lett. 112, Article ID 106829, 7 p. (2021). MSC: 65M06 65N06 65M12 35R11 26A33 35Q53 PDF BibTeX XML Cite \textit{D. Cen} et al., Appl. Math. Lett. 112, Article ID 106829, 7 p. (2021; Zbl 1453.65210) Full Text: DOI
Zhang, Tian-Tian; Xu, Mei-Juan The symmetry-preserving difference schemes and exact solutions of some high-dimensional differential equations. (English) Zbl 07281329 Appl. Math. Lett. 112, Article ID 106813, 9 p. (2021). MSC: 65M06 35K59 PDF BibTeX XML Cite \textit{T.-T. Zhang} and \textit{M.-J. Xu}, Appl. Math. Lett. 112, Article ID 106813, 9 p. (2021; Zbl 07281329) Full Text: DOI
Cui, Jin; Xu, Zhuangzhi; Wang, Yushun; Jiang, Chaolong Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation. (English) Zbl 1454.65058 Appl. Math. Lett. 112, Article ID 106770, 8 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65L06 65P10 35A22 35Q55 PDF BibTeX XML Cite \textit{J. Cui} et al., Appl. Math. Lett. 112, Article ID 106770, 8 p. (2021; Zbl 1454.65058) Full Text: DOI
Zhang, Qifeng; Qin, Yifan; Wang, Xuping; Sun, Zhi-zhong The study of exact and numerical solutions of the generalized viscous Burgers’ equation. (English) Zbl 1453.65240 Appl. Math. Lett. 112, Article ID 106719, 9 p. (2021). MSC: 65M06 65M12 65M15 65J08 35Q53 PDF BibTeX XML Cite \textit{Q. Zhang} et al., Appl. Math. Lett. 112, Article ID 106719, 9 p. (2021; Zbl 1453.65240) Full Text: DOI