Rosati, Tommaso; Tóbiás, András The wave speed of an FKPP equation with jumps via coordinated branching. (English) Zbl 07721281 Electron. J. Probab. 28, Paper No. 71, 29 p. (2023). Reviewer: Krzysztof Bartoszek (Linköping) MSC: 60H15 60J80 35C07 92D25 PDFBibTeX XMLCite \textit{T. Rosati} and \textit{A. Tóbiás}, Electron. J. Probab. 28, Paper No. 71, 29 p. (2023; Zbl 07721281) Full Text: DOI arXiv
Sun, Qihang; Wang, Jindi; Zhang, Luming A new third-order energy stable technique and error estimate for the extended Fisher-Kolmogorov equation. (English) Zbl 07691994 Comput. Math. Appl. 142, 198-207 (2023). MSC: 65M06 65M12 65M60 65M15 65M20 PDFBibTeX XMLCite \textit{Q. Sun} et al., Comput. Math. Appl. 142, 198--207 (2023; Zbl 07691994) Full Text: DOI
Ren, Yan-Xia; Song, Renming; Yang, Fan Branching Brownian motion in a periodic environment and uniqueness of pulsating traveling waves. (English) Zbl 1518.60083 Adv. Appl. Probab. 55, No. 2, 510-548 (2023). Reviewer: Alexander Iksanov (Kyïv) MSC: 60J80 35C07 35K57 PDFBibTeX XMLCite \textit{Y.-X. Ren} et al., Adv. Appl. Probab. 55, No. 2, 510--548 (2023; Zbl 1518.60083) Full Text: DOI arXiv
Mohanty, R. K.; Sharma, Divya A new 2-level compact off-step implicit method in exponential form for the solution of fourth order nonlinear parabolic equations. (English) Zbl 1512.65181 J. Math. Chem. 61, No. 5, 1165-1204 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65N06 65M12 65M22 35K55 35K52 35Q92 35Q53 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{D. Sharma}, J. Math. Chem. 61, No. 5, 1165--1204 (2023; Zbl 1512.65181) Full Text: DOI
Ju, Bingrui; Qu, Wenzhen Three-dimensional application of the meshless generalized finite difference method for solving the extended Fisher-Kolmogorov equation. (English) Zbl 1503.65173 Appl. Math. Lett. 136, Article ID 108458, 8 p. (2023). MSC: 65M06 35K57 65M60 PDFBibTeX XMLCite \textit{B. Ju} and \textit{W. Qu}, Appl. Math. Lett. 136, Article ID 108458, 8 p. (2023; Zbl 1503.65173) Full Text: DOI
Shapovalov, A. V.; Kulagin, A. E.; Siniukov, S. A. Pattern formation in a nonlocal Fisher-Kolmogorov-Petrovsky-Piskunov model and in a nonlocal model of the kinetics of an metal vapor active medium. (English. Russian original) Zbl 07664615 Russ. Phys. J. 65, No. 4, 695-702 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 4, 99-106 (2022). MSC: 82D10 35K57 80A30 PDFBibTeX XMLCite \textit{A. V. Shapovalov} et al., Russ. Phys. J. 65, No. 4, 695--702 (2022; Zbl 07664615); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 4, 99--106 (2022) Full Text: DOI
Simpson, Matthew J.; Baker, Ruth E.; Buenzli, Pascal R.; Nicholson, Ruanui; Maclaren, Oliver J. Reliable and efficient parameter estimation using approximate continuum limit descriptions of stochastic models. (English) Zbl 1497.92027 J. Theor. Biol. 549, Article ID 111201, 14 p. (2022). MSC: 92C15 92C37 60G99 PDFBibTeX XMLCite \textit{M. J. Simpson} et al., J. Theor. Biol. 549, Article ID 111201, 14 p. (2022; Zbl 1497.92027) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z. Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation. (English) Zbl 1498.35577 Chaos Solitons Fractals 155, Article ID 111729, 14 p. (2022). MSC: 35R11 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Chaos Solitons Fractals 155, Article ID 111729, 14 p. (2022; Zbl 1498.35577) Full Text: DOI
McCue, Scott W.; Bradshaw-Hajek, Bronwyn H.; Simpson, Matthew J. Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis. (English) Zbl 1491.35100 Appl. Math. Lett. 132, Article ID 108151, 8 p. (2022). MSC: 35C05 35C06 35K57 92D25 PDFBibTeX XMLCite \textit{S. W. McCue} et al., Appl. Math. Lett. 132, Article ID 108151, 8 p. (2022; Zbl 1491.35100) Full Text: DOI arXiv
Sun, Qihang; Ji, Bingquan; Zhang, Luming A convex splitting BDF2 method with variable time-steps for the extended Fisher-Kolmogorov equation. (English) Zbl 1524.65400 Comput. Math. Appl. 114, 73-82 (2022). MSC: 65M06 65M12 35K35 65L20 65M50 65M15 65N06 35Q92 PDFBibTeX XMLCite \textit{Q. Sun} et al., Comput. Math. Appl. 114, 73--82 (2022; Zbl 1524.65400) Full Text: DOI
Li, Shuguang; Xu, Da; Zhang, Jie; Sun, Chengjiao A new three-level fourth-order compact finite difference scheme for the extended Fisher-Kolmogorov equation. (English) Zbl 07533816 Appl. Numer. Math. 178, 41-51 (2022). MSC: 65Mxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{S. Li} et al., Appl. Numer. Math. 178, 41--51 (2022; Zbl 07533816) Full Text: DOI
Kumar, Sanjay; Jiwari, Ram; Mittal, R. C. Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model. (English) Zbl 1525.65105 Wave Motion 109, Article ID 102863, 19 p. (2022). MSC: 65M70 35K61 65D12 65M12 PDFBibTeX XMLCite \textit{S. Kumar} et al., Wave Motion 109, Article ID 102863, 19 p. (2022; Zbl 1525.65105) Full Text: DOI
Chen, Pengyu; Zhang, Xuping; Zhang, Zhitao Asymptotic behavior of time periodic solutions for extended Fisher-Kolmogorov equations with delays. (English) Zbl 1484.35049 Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1611-1627 (2022). MSC: 35B40 35B10 35K35 35K58 PDFBibTeX XMLCite \textit{P. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1611--1627 (2022; Zbl 1484.35049) Full Text: DOI arXiv
Kushner, Alexei G.; Matviichuk, Ruslan I. Finite dimensional dynamics of evolutionary equations with Maple. (English) Zbl 1503.35238 Ulan, Maria (ed.) et al., Differential geometry, differential equations, and mathematical physics. Proceedings of the Wisła 19 summer school, Wisła, Poland, August 19–29, 2019. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 123-149 (2021). MSC: 35Q92 35Q91 91G20 65L05 92-08 91G60 PDFBibTeX XMLCite \textit{A. G. Kushner} and \textit{R. I. Matviichuk}, in: Differential geometry, differential equations, and mathematical physics. Proceedings of the Wisła 19 summer school, Wisła, Poland, August 19--29, 2019. Cham: Birkhäuser. 123--149 (2021; Zbl 1503.35238) Full Text: DOI
Sweilam, N. H.; ElSakout, D. M.; Muttardi, M. M. Numerical solution for stochastic extended Fisher-Kolmogorov equation. (English) Zbl 1498.35323 Chaos Solitons Fractals 151, Article ID 111213, 11 p. (2021). MSC: 35K25 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Chaos Solitons Fractals 151, Article ID 111213, 11 p. (2021; Zbl 1498.35323) Full Text: DOI
Siniukov, S. A.; Trifonov, A. Yu.; Shapovalov, A. V. Examples of asymptotic solutions obtained by the complex germ method for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovsky-Piskunov equation. (English. Russian original) Zbl 1495.81055 Russ. Phys. J. 64, No. 8, 1542-1552 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 8, 148-156 (2021). MSC: 81Q20 34B10 34D05 34A45 PDFBibTeX XMLCite \textit{S. A. Siniukov} et al., Russ. Phys. J. 64, No. 8, 1542--1552 (2021; Zbl 1495.81055); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 8, 148--156 (2021) Full Text: DOI
Chen, Pengyu; Ma, Weifeng; Tao, Shu; Zhang, Kaibin Blowup and global existence of mild solutions for fractional extended Fisher-Kolmogorov equations. (English) Zbl 07486814 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 6, 641-656 (2021). MSC: 35R11 47J35 PDFBibTeX XMLCite \textit{P. Chen} et al., Int. J. Nonlinear Sci. Numer. Simul. 22, No. 6, 641--656 (2021; Zbl 07486814) Full Text: DOI
Danumjaya, P.; Pany, Ambit Kumar; Pani, Amiya K. Morley FEM for the fourth-order nonlinear reaction-diffusion problems. (English) Zbl 1524.65524 Comput. Math. Appl. 99, 229-245 (2021). MSC: 65M60 65N30 65N15 35J40 65N12 65M15 65M06 PDFBibTeX XMLCite \textit{P. Danumjaya} et al., Comput. Math. Appl. 99, 229--245 (2021; Zbl 1524.65524) Full Text: DOI
Doss, L. Jones Tarcius; Kousalya, N. A finite pointset method for extended Fisher-Kolmogorov equation based on mixed formulation. (English) Zbl 07342020 Int. J. Comput. Methods 18, No. 1, Article ID 2050019, 25 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{L. J. T. Doss} and \textit{N. Kousalya}, Int. J. Comput. Methods 18, No. 1, Article ID 2050019, 25 p. (2021; Zbl 07342020) Full Text: DOI
Mohammed, Wael W.; Blömker, Dirk Fast-diffusion limit for reaction-diffusion equations with multiplicative noise. (English) Zbl 1459.35414 J. Math. Anal. Appl. 496, No. 2, Article ID 124808, 19 p. (2021). MSC: 35R60 35K90 35B25 PDFBibTeX XMLCite \textit{W. W. Mohammed} and \textit{D. Blömker}, J. Math. Anal. Appl. 496, No. 2, Article ID 124808, 19 p. (2021; Zbl 1459.35414) Full Text: DOI
McCue, Scott W.; El-Hachem, Maud; Simpson, Matthew J. Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation. (English) Zbl 1458.35108 Appl. Math. Lett. 114, Article ID 106918, 9 p. (2021). MSC: 35C07 35K57 35K20 PDFBibTeX XMLCite \textit{S. W. McCue} et al., Appl. Math. Lett. 114, Article ID 106918, 9 p. (2021; Zbl 1458.35108) Full Text: DOI arXiv
Cai, Jingjing; Xu, Li Asymptotic behaviour of solutions of Fisher-KPP equation with free boundaries in time-periodic environment. (English) Zbl 1504.35657 Eur. J. Appl. Math. 31, No. 3, 423-449 (2020). MSC: 35R35 35B40 35C07 35K20 35K58 PDFBibTeX XMLCite \textit{J. Cai} and \textit{L. Xu}, Eur. J. Appl. Math. 31, No. 3, 423--449 (2020; Zbl 1504.35657) Full Text: DOI
Lou, Bendong; Lu, Junfan; Morita, Yoshihisa Entire solutions of the Fisher-KPP equation on the half line. (English) Zbl 1504.35027 Eur. J. Appl. Math. 31, No. 3, 407-422 (2020). MSC: 35B08 35B40 35C07 35K20 35K57 PDFBibTeX XMLCite \textit{B. Lou} et al., Eur. J. Appl. Math. 31, No. 3, 407--422 (2020; Zbl 1504.35027) Full Text: DOI arXiv
Veeresha, P.; Prakasha, D. G.; Singh, Jagdev; Khan, Ilyas; Kumar, Devendra Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel. (English) Zbl 1482.35257 Adv. Difference Equ. 2020, Paper No. 174, 17 p. (2020). MSC: 35R11 26A33 47N20 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Adv. Difference Equ. 2020, Paper No. 174, 17 p. (2020; Zbl 1482.35257) Full Text: DOI
Simpson, Matthew J. Critical length for the spreading-vanishing dichotomy in higher dimensions. (English) Zbl 1448.35522 ANZIAM J. 62, No. 1, 3-17 (2020). MSC: 35Q92 92D25 92C37 80A22 35R37 35C07 PDFBibTeX XMLCite \textit{M. J. Simpson}, ANZIAM J. 62, No. 1, 3--17 (2020; Zbl 1448.35522) Full Text: DOI arXiv
Bonizzoni, Francesca; Braukhoff, Marcel; Jüngel, Ansgar; Perugia, Ilaria A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. (English) Zbl 1452.65225 Numer. Math. 146, No. 1, 119-157 (2020). MSC: 65M60 65M06 65M12 35K20 35K57 35B09 35D35 92D25 35Q92 PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., Numer. Math. 146, No. 1, 119--157 (2020; Zbl 1452.65225) Full Text: DOI arXiv
Ilati, Mohammad Analysis and application of the interpolating element-free Galerkin method for extended Fisher-Kolmogorov equation which arises in brain tumor dynamics modeling. (English) Zbl 1465.65095 Numer. Algorithms 85, No. 2, 485-502 (2020). MSC: 65M60 65M06 65N30 65M15 65K10 41A30 92C37 35Q92 PDFBibTeX XMLCite \textit{M. Ilati}, Numer. Algorithms 85, No. 2, 485--502 (2020; Zbl 1465.65095) Full Text: DOI
Bruzón, M. S.; Garrido, T. M.; Recio, E.; de la Rosa, R. Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation. (English) Zbl 1459.76111 Math. Methods Appl. Sci. 43, No. 13, 7623-7631 (2020). MSC: 76M60 22E70 PDFBibTeX XMLCite \textit{M. S. Bruzón} et al., Math. Methods Appl. Sci. 43, No. 13, 7623--7631 (2020; Zbl 1459.76111) Full Text: DOI
Çelik, İbrahim Gegenbauer wavelet collocation method for the extended Fisher-Kolmogorov equation in two dimensions. (English) Zbl 1512.65226 Math. Methods Appl. Sci. 43, No. 8, 5615-5628 (2020). MSC: 65M70 65T60 PDFBibTeX XMLCite \textit{İ. Çelik}, Math. Methods Appl. Sci. 43, No. 8, 5615--5628 (2020; Zbl 1512.65226) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. (English) Zbl 1446.65103 Comput. Math. Appl. 80, No. 1, 247-262 (2020). MSC: 65M60 65N30 65M06 65M12 65M15 65K10 35Q92 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 80, No. 1, 247--262 (2020; Zbl 1446.65103) Full Text: DOI
Schäfer, A.; Weickenmeier, J.; Kuhl, E. The interplay of biochemical and biomechanical degeneration in Alzheimer’s disease. (English) Zbl 1441.74132 Comput. Methods Appl. Mech. Eng. 352, 369-388 (2019). MSC: 74L15 92C50 74S05 PDFBibTeX XMLCite \textit{A. Schäfer} et al., Comput. Methods Appl. Mech. Eng. 352, 369--388 (2019; Zbl 1441.74132) Full Text: DOI
Addario-Berry, Louigi; Berestycki, Julien; Penington, Sarah Branching Brownian motion with decay of mass and the nonlocal Fisher-KPP equation. (English) Zbl 1509.35138 Commun. Pure Appl. Math. 72, No. 12, 2487-2577 (2019). MSC: 35K59 35B40 35K15 60J65 60J80 82C05 PDFBibTeX XMLCite \textit{L. Addario-Berry} et al., Commun. Pure Appl. Math. 72, No. 12, 2487--2577 (2019; Zbl 1509.35138) Full Text: DOI arXiv
Mohanty, R. K.; Kaur, Deepti; Singh, Swarn A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations. (English) Zbl 1429.65193 Appl. Math. Comput. 352, 68-87 (2019). MSC: 65M06 65M12 65M22 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., Appl. Math. Comput. 352, 68--87 (2019; Zbl 1429.65193) Full Text: DOI
Rohila, R.; Mittal, R. C. A numerical study of two-dimensional coupled systems and higher order partial differential equations. (English) Zbl 1426.65142 Asian-Eur. J. Math. 12, No. 5, Article ID 1950071, 12 p. (2019). MSC: 65M70 65L06 65M12 35Q53 PDFBibTeX XMLCite \textit{R. Rohila} and \textit{R. C. Mittal}, Asian-Eur. J. Math. 12, No. 5, Article ID 1950071, 12 p. (2019; Zbl 1426.65142) Full Text: DOI
Kaur, Deepti; Mohanty, R. K. Two-level implicit high order method based on half-step discretization for 1D unsteady biharmonic problems of first kind. (English) Zbl 1411.65111 Appl. Numer. Math. 139, 1-14 (2019). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{D. Kaur} and \textit{R. K. Mohanty}, Appl. Numer. Math. 139, 1--14 (2019; Zbl 1411.65111) Full Text: DOI
Mohanty, R. K.; Kaur, Deepti High accuracy two-level implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to the generalized Kuramoto-Sivashinsky equation. (English) Zbl 1417.65153 J. Difference Equ. Appl. 25, No. 2, 243-261 (2019). MSC: 65M06 65M12 65M22 35Q53 65F10 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{D. Kaur}, J. Difference Equ. Appl. 25, No. 2, 243--261 (2019; Zbl 1417.65153) Full Text: DOI
Zhang, Houchao; Wang, Junjun; Shi, Dongyang A type of new lower order nonconforming mixed finite elements methods for the extended Fisher-Kolmogorov equation. (Chinese. English summary) Zbl 1424.65231 Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 3, 571-587 (2018). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{H. Zhang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 3, 571--587 (2018; Zbl 1424.65231)
Beck, Margaret; Doikou, Anastasia; Malham, Simon J. A.; Stylianidis, Ioannis Grassmannian flows and applications to nonlinear partial differential equations. (English) Zbl 1411.35071 Celledoni, Elena (ed.) et al., Computation and combinatorics in dynamics, stochastics and control. The Abel symposium, Rosendal, Norway, August 16–19, 2016. Selected papers. Cham: Springer. Abel Symp. 13, 71-98 (2018). MSC: 35G20 14M15 37K10 PDFBibTeX XMLCite \textit{M. Beck} et al., Abel Symp. 13, 71--98 (2018; Zbl 1411.35071) Full Text: DOI arXiv
Shapovalov, A. V.; Obukhov, V. V. Influence of the environment on pattern formation in the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov model. (English. Russian original) Zbl 1405.35230 Russ. Phys. J. 61, No. 6, 1093-1099 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 61, No. 6, 82-87 (2018). MSC: 35Q92 92D25 92C37 PDFBibTeX XMLCite \textit{A. V. Shapovalov} and \textit{V. V. Obukhov}, Russ. Phys. J. 61, No. 6, 1093--1099 (2018; Zbl 1405.35230); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 61, No. 6, 82--87 (2018) Full Text: DOI
Chen, Pengyu; Xin, Zhen; An, Jiahui Continuous dependence on data for solutions of fractional extended Fisher-Kolmogorov equation. (English) Zbl 1461.35208 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7-8, 735-739 (2018). MSC: 35R11 47J35 PDFBibTeX XMLCite \textit{P. Chen} et al., Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7--8, 735--739 (2018; Zbl 1461.35208) Full Text: DOI
Gamzaev, Kh. M. A numerical method of solving the coefficient inverse problem for the nonlinear equation of diffusion-reaction. (Russian. English summary) Zbl 1404.65141 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 1, 145-151 (2018). MSC: 65M32 80A23 35K57 65M06 35Q92 PDFBibTeX XMLCite \textit{Kh. M. Gamzaev}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 1, 145--151 (2018; Zbl 1404.65141) Full Text: DOI MNR
Nguyen, Thieu Huy; Le, Anh Minh Admissible inertial manifolds for delay equations and applications to Fisher-Kolmogorov model. (English) Zbl 1409.34066 Acta Appl. Math. 156, No. 1, 15-31 (2018). Reviewer: Ábel Garab (Szeged) MSC: 34K30 34K19 PDFBibTeX XMLCite \textit{T. H. Nguyen} and \textit{A. M. Le}, Acta Appl. Math. 156, No. 1, 15--31 (2018; Zbl 1409.34066) Full Text: DOI
Kadri, Tlili; Omrani, Khaled A fourth-order accurate finite difference scheme for the extended-Fisher-Kolmogorov equation. (English) Zbl 1395.65021 Bull. Korean Math. Soc. 55, No. 1, 297-310 (2018). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{T. Kadri} and \textit{K. Omrani}, Bull. Korean Math. Soc. 55, No. 1, 297--310 (2018; Zbl 1395.65021) Full Text: Link
Li, Xin; Zhang, Luming Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation. (English) Zbl 1462.65163 Appl. Numer. Math. 131, 39-53 (2018). MSC: 65M70 65M06 65N35 65M15 35Q92 PDFBibTeX XMLCite \textit{X. Li} and \textit{L. Zhang}, Appl. Numer. Math. 131, 39--53 (2018; Zbl 1462.65163) Full Text: DOI
Mohanty, R. K.; Kaur, D. Compact difference scheme with high accuracy for one-dimensional unsteady quasi-linear biharmonic problem of second kind: application to physical problems. (Russian, English) Zbl 1399.65163 Sib. Zh. Vychisl. Mat. 21, No. 1, 65-82 (2018); translation in Numer. Analysis Appl. 11, No. 1, 45-59 (2018). MSC: 65M06 35Q53 65M12 35K55 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{D. Kaur}, Sib. Zh. Vychisl. Mat. 21, No. 1, 65--82 (2018; Zbl 1399.65163); translation in Numer. Analysis Appl. 11, No. 1, 45--59 (2018) Full Text: DOI
Shapovalov, A. V. Approximate solutions of the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with quasilocal competitive losses. (English. Russian original) Zbl 1485.35360 Russ. Phys. J. 60, No. 9, 1461-1468 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 60, No. 9, 3-9 (2017). MSC: 35Q92 92D25 92C37 PDFBibTeX XMLCite \textit{A. V. Shapovalov}, Russ. Phys. J. 60, No. 9, 1461--1468 (2018; Zbl 1485.35360); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 60, No. 9, 3--9 (2017) Full Text: DOI
Mohanty, Ranjan Kumar; Kaur, Deepti High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations. (English) Zbl 1434.65127 Comput. Methods Appl. Math. 17, No. 4, 617-641 (2017). MSC: 65M06 65M12 65M22 65K10 35K41 35Q53 35Q92 35Q35 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{D. Kaur}, Comput. Methods Appl. Math. 17, No. 4, 617--641 (2017; Zbl 1434.65127) Full Text: DOI
Pamplona da Silva, D. J.; Villar, R. P.; Ramos, L. C. Isolation effects in a system of two mutually communicating identical patches. (English) Zbl 1426.92093 Appl. Math. Comput. 315, 494-499 (2017). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{D. J. Pamplona da Silva} et al., Appl. Math. Comput. 315, 494--499 (2017; Zbl 1426.92093) Full Text: DOI arXiv
Liu, Fengnan; Zhao, Xiaopeng; Liu, Bo Fourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions. (English) Zbl 1422.65284 Adv. Difference Equ. 2017, Paper No. 94, 17 p. (2017). MSC: 65M70 65M15 65M12 35K57 65N35 92C15 PDFBibTeX XMLCite \textit{F. Liu} et al., Adv. Difference Equ. 2017, Paper No. 94, 17 p. (2017; Zbl 1422.65284) Full Text: DOI
Zhou, Ping; Xing, Chao; Luo, Hong The asymptotic attractor and dimensional estimate of two dimensional extended Fisher-Kolmogorov equation. (Chinese. English summary) Zbl 1389.37048 J. Chongqing Norm. Univ., Nat. Sci. 34, No. 1, 61-68 (2017). MSC: 37L30 35B41 PDFBibTeX XMLCite \textit{P. Zhou} et al., J. Chongqing Norm. Univ., Nat. Sci. 34, No. 1, 61--68 (2017; Zbl 1389.37048) Full Text: DOI
Aleshin, S.; Glyzin, S.; Kaschenko, S. Waves interaction in the Fisher-Kolmogorov equation with arguments deviation. (English) Zbl 1486.65145 Lobachevskii J. Math. 38, No. 1, 24-29 (2017). MSC: 65M20 65M06 65L06 65Y05 35A18 35B10 35K57 35K91 35R10 35R07 35Q92 PDFBibTeX XMLCite \textit{S. Aleshin} et al., Lobachevskii J. Math. 38, No. 1, 24--29 (2017; Zbl 1486.65145) Full Text: DOI
Bonheure, Denis; Hamel, François One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\). (English) Zbl 1367.35050 Chin. Ann. Math., Ser. B 38, No. 1, 149-172 (2017). Reviewer: Patrick Winkert (Berlin) MSC: 35B51 35B53 35J30 35B06 PDFBibTeX XMLCite \textit{D. Bonheure} and \textit{F. Hamel}, Chin. Ann. Math., Ser. B 38, No. 1, 149--172 (2017; Zbl 1367.35050) Full Text: DOI arXiv
Mohanty, R. K.; Kaur, Deepti Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation. (English) Zbl 1358.65059 Numer. Algorithms 74, No. 2, 427-459 (2017). MSC: 65M06 35Q53 65M12 35K55 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{D. Kaur}, Numer. Algorithms 74, No. 2, 427--459 (2017; Zbl 1358.65059) Full Text: DOI
Danumjaya, P. Finite element methods for one dimensional fourth order semilinear partial differential equation. (English) Zbl 1456.65108 Int. J. Appl. Comput. Math. 2, No. 3, 395-410 (2016). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{P. Danumjaya}, Int. J. Appl. Comput. Math. 2, No. 3, 395--410 (2016; Zbl 1456.65108) Full Text: DOI
He, Dongdong On the \(L^\infty\)-norm convergence of a three-level linearly implicit finite difference method for the extended Fisher-Kolmogorov equation in both 1D and 2D. (English) Zbl 1443.65126 Comput. Math. Appl. 71, No. 12, 2594-2607 (2016). MSC: 65M06 65M12 35K35 PDFBibTeX XMLCite \textit{D. He}, Comput. Math. Appl. 71, No. 12, 2594--2607 (2016; Zbl 1443.65126) Full Text: DOI
Gouin, Henri; Saccomandi, Giuseppe Travelling waves of density for a fourth-gradient model of fluids. (English) Zbl 1355.76005 Contin. Mech. Thermodyn. 28, No. 5, 1511-1523 (2016). MSC: 76A02 76D33 74F10 PDFBibTeX XMLCite \textit{H. Gouin} and \textit{G. Saccomandi}, Contin. Mech. Thermodyn. 28, No. 5, 1511--1523 (2016; Zbl 1355.76005) Full Text: DOI arXiv
Maillard, Pascal; Zeitouni, Ofer Slowdown in branching Brownian motion with inhomogeneous variance. (English. French summary) Zbl 1366.60105 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 3, 1144-1160 (2016). MSC: 60J80 58J65 60J65 PDFBibTeX XMLCite \textit{P. Maillard} and \textit{O. Zeitouni}, Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 3, 1144--1160 (2016; Zbl 1366.60105) Full Text: DOI arXiv Euclid
Levchenko, E. A.; Shapovalov, A. V.; Trifonov, A. Yu Asymptotics semiclassically concentrated on curves for the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation. (English) Zbl 1346.35107 J. Phys. A, Math. Theor. 49, No. 30, Article ID 305203, 17 p. (2016). MSC: 35K57 81Q20 PDFBibTeX XMLCite \textit{E. A. Levchenko} et al., J. Phys. A, Math. Theor. 49, No. 30, Article ID 305203, 17 p. (2016; Zbl 1346.35107) Full Text: DOI
Drábek, Pavel; Takáč, Peter New patterns of travelling waves in the generalized Fisher-Kolmogorov equation. (English) Zbl 1338.35433 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 2, Paper No. 7, 19 p. (2016). MSC: 35Q92 35K92 35K55 35K65 PDFBibTeX XMLCite \textit{P. Drábek} and \textit{P. Takáč}, NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 2, Paper No. 7, 19 p. (2016; Zbl 1338.35433) Full Text: DOI arXiv
Duan, Ning Optimal control problem for the extended Fisher-Kolmogorov equation. (English) Zbl 1335.49009 Proc. Indian Acad. Sci., Math. Sci. 126, No. 1, 109-123 (2016). MSC: 49J20 49K20 35K55 PDFBibTeX XMLCite \textit{N. Duan}, Proc. Indian Acad. Sci., Math. Sci. 126, No. 1, 109--123 (2016; Zbl 1335.49009) Full Text: DOI
Levchenko, E. A.; Trifonov, A. Yu.; Shapovalov, A. V. Asymptotics of the multidimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation near a quasistationary solution. (English. Russian original) Zbl 1516.35086 Russ. Phys. J. 58, No. 7, 952-958 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2015, No. 7, 71-75 (2015). MSC: 35B40 35K57 35R09 PDFBibTeX XMLCite \textit{E. A. Levchenko} et al., Russ. Phys. J. 58, No. 7, 952--958 (2015; Zbl 1516.35086); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2015, No. 7, 71--75 (2015) Full Text: DOI
Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen Hybrid approaches for multiple-species stochastic reaction-diffusion models. (English) Zbl 1352.65019 J. Comput. Phys. 299, 429-445 (2015). MSC: 65C30 65M06 65M75 92B05 35R60 60J28 PDFBibTeX XMLCite \textit{F. Spill} et al., J. Comput. Phys. 299, 429--445 (2015; Zbl 1352.65019) Full Text: DOI arXiv
Chapiro, Grigori; Faria, Luiz F. O.; Maldonado, André D. On the existence of solutions for a class of fourth order differential equations. (English) Zbl 1334.35062 J. Math. Anal. Appl. 427, No. 1, 126-139 (2015). MSC: 35J62 35J20 35J25 65N06 PDFBibTeX XMLCite \textit{G. Chapiro} et al., J. Math. Anal. Appl. 427, No. 1, 126--139 (2015; Zbl 1334.35062) Full Text: DOI
Dumortier, Freddy; Kaper, Tasso J. Wave speeds for the FKPP equation with enhancements of the reaction function. (English) Zbl 1479.35190 Z. Angew. Math. Phys. 66, No. 3, 607-629 (2015). MSC: 35C07 35B44 35K57 PDFBibTeX XMLCite \textit{F. Dumortier} and \textit{T. J. Kaper}, Z. Angew. Math. Phys. 66, No. 3, 607--629 (2015; Zbl 1479.35190) Full Text: DOI
Gerbeau, J-F.; Lombardi, D. Approximated Lax pairs and reduced order modeling. (English. French summary) Zbl 1333.35235 Dogbe, Christian (ed.), Actes du colloque “EDP-Normandie”, Caen, France, Octobre 24–25, 2013. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-2-0/pbk). Normandie-Mathématiques, 47-53 (2014). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{J-F. Gerbeau} and \textit{D. Lombardi}, in: Actes du colloque ``EDP-Normandie'', Caen, France, Octobre 24--25, 2013. [s.l.]: Fédération Normandie-Mathématiques. 47--53 (2014; Zbl 1333.35235)
Liu, Bo; Guo, Yingxin; Li, Xinzhuo Two finite difference methods for solving Fisher-Kolmogorov equation. (Chinese. English summary) Zbl 1313.65221 J. Jilin Univ., Sci. 52, No. 2, 159-168 (2014). MSC: 65M06 35Q35 65M12 PDFBibTeX XMLCite \textit{B. Liu} et al., J. Jilin Univ., Sci. 52, No. 2, 159--168 (2014; Zbl 1313.65221) Full Text: DOI
Levchenko, E. A.; Trifonov, A. Yu.; Shapovalov, A. V. Symmetry operators of the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation with a quadratic operator. (English. Russian original) Zbl 1294.81048 Russ. Phys. J. 56, No. 12, 1415-1426 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 56, No. 12, 86-95 (2013). MSC: 81Q10 81Q05 81R10 81R05 81R50 PDFBibTeX XMLCite \textit{E. A. Levchenko} et al., Russ. Phys. J. 56, No. 12, 1415--1426 (2014; Zbl 1294.81048); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 56, No. 12, 86--95 (2013) Full Text: DOI
Levchenko, E. A.; Shapovalov, A. V.; Trifonov, A. Yu Pattern formation in terms of semiclassically limited distribution on lower dimensional manifolds for the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation. (English) Zbl 1305.45002 J. Phys. A, Math. Theor. 47, No. 2, Article ID 025209, 20 p. (2014). MSC: 45J05 35K57 35B36 92C99 PDFBibTeX XMLCite \textit{E. A. Levchenko} et al., J. Phys. A, Math. Theor. 47, No. 2, Article ID 025209, 20 p. (2014; Zbl 1305.45002) Full Text: DOI arXiv
Naldi, Giovanni; Cavalli, Fausto; Perugia, Ilaria Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations. (English) Zbl 1329.65227 Commun. Appl. Ind. Math. 4, Article ID 446, 18 p. (2013). MSC: 65M60 35K20 35K57 PDFBibTeX XMLCite \textit{G. Naldi} et al., Commun. Appl. Ind. Math. 4, Article ID 446, 18 p. (2013; Zbl 1329.65227)
Levchenko, E. A.; Trifonov, A. Yu.; Shapovalov, A. V. Estimate of accuracy of solution of the nonlocal Fisher-Kolomogorov-Petrovskii-Piskunov equation. (English. Russian original) Zbl 1298.35023 Russ. Phys. J. 55, No. 12, 1425-1433 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 47-53 (2012). MSC: 35B65 35G05 81Q20 PDFBibTeX XMLCite \textit{E. A. Levchenko} et al., Russ. Phys. J. 55, No. 12, 1425--1433 (2013; Zbl 1298.35023); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 47--53 (2012) Full Text: DOI
Cristofol, Michel; Roques, Lionel Stable estimation of two coefficients in a nonlinear Fisher-KPP equation. (English) Zbl 1285.65062 Inverse Probl. 29, No. 9, Article ID 095007, 18 p. (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 65M32 35R30 65M12 35K57 35B50 92D25 PDFBibTeX XMLCite \textit{M. Cristofol} and \textit{L. Roques}, Inverse Probl. 29, No. 9, Article ID 095007, 18 p. (2013; Zbl 1285.65062) Full Text: DOI
Mosconi, Sunra J. N.; Santra, Sanjiban On the existence and non-existence of bounded solutions for a fourth order ODE. (English) Zbl 1294.34041 J. Differ. Equations 255, No. 11, 4149-4168 (2013). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C11 34C25 34A34 PDFBibTeX XMLCite \textit{S. J. N. Mosconi} and \textit{S. Santra}, J. Differ. Equations 255, No. 11, 4149--4168 (2013; Zbl 1294.34041) Full Text: DOI
Wang, Jue Dynamics and long time convergence of the extended Fisher-Kolmogorov equation under numerical discretization. (English) Zbl 1289.65192 Commun. Math. Res. 29, No. 1, 51-60 (2013). MSC: 65M06 35B41 35Q55 65M12 PDFBibTeX XMLCite \textit{J. Wang}, Commun. Math. Res. 29, No. 1, 51--60 (2013; Zbl 1289.65192)
Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations. (English) Zbl 1283.34046 Discrete Contin. Dyn. Syst. 33, No. 8, 3567-3582 (2013). MSC: 34C37 35C07 37C29 PDFBibTeX XMLCite \textit{A. Gasull} et al., Discrete Contin. Dyn. Syst. 33, No. 8, 3567--3582 (2013; Zbl 1283.34046) Full Text: DOI arXiv
Yeun, Y. L. Heteroclinic solutions for nonautonomous EFK equations. (English) Zbl 1280.34051 Abstr. Appl. Anal. 2013, Article ID 138623, 9 p. (2013). Reviewer: Mohsen Timoumi (Monastir) MSC: 34C37 37J45 58E50 PDFBibTeX XMLCite \textit{Y. L. Yeun}, Abstr. Appl. Anal. 2013, Article ID 138623, 9 p. (2013; Zbl 1280.34051) Full Text: DOI
Gudi, Thirupathi; Gupta, Hari Shanker A fully discrete \(C^0\) interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation. (English) Zbl 1312.65160 J. Comput. Appl. Math. 247, 1-16 (2013). MSC: 65M60 35K55 65M15 65M12 PDFBibTeX XMLCite \textit{T. Gudi} and \textit{H. S. Gupta}, J. Comput. Appl. Math. 247, 1--16 (2013; Zbl 1312.65160) Full Text: DOI
Tarcius Doss, L. Jones; Nandini, A. P. An \(H^1\) Galerkin mixed finite element method for the extended Fisher-Kolmogorov equation. (English) Zbl 1266.65199 Int. J. Numer. Anal. Model., Ser. B 3, No. 4, 460-485 (2012). MSC: 65N30 65N15 65M60 65M15 35G20 PDFBibTeX XMLCite \textit{L. J. Tarcius Doss} and \textit{A. P. Nandini}, Int. J. Numer. Anal. Model., Ser. B 3, No. 4, 460--485 (2012; Zbl 1266.65199)
Macías, Siegfried; Macías-Díaz, Jorge E. A two-step conditionally bounded numerical integrator to approximate some traveling-wave solutions of a diffusion-reaction equation. (English) Zbl 1268.65116 Involve 5, No. 2, 219-227 (2012). MSC: 65M06 35Q92 92D25 35K55 PDFBibTeX XMLCite \textit{S. Macías} and \textit{J. E. Macías-Díaz}, Involve 5, No. 2, 219--227 (2012; Zbl 1268.65116) Full Text: DOI Link
Danumjaya, P.; Pani, Amiya K. Mixed finite element methods for a fourth order reaction diffusion equation. (English) Zbl 1253.65149 Numer. Methods Partial Differ. Equations 28, No. 4, 1227-1251 (2012). Reviewer: Horst Lange (Freiburg) MSC: 65M60 65M06 35K57 65M15 PDFBibTeX XMLCite \textit{P. Danumjaya} and \textit{A. K. Pani}, Numer. Methods Partial Differ. Equations 28, No. 4, 1227--1251 (2012; Zbl 1253.65149) Full Text: DOI
Levchenko, E. A.; Shapovalov, A. V.; Trifonov, A. Yu. Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation. (English) Zbl 1248.45007 J. Math. Anal. Appl. 395, No. 2, 716-726 (2012). MSC: 45J05 45G10 92D25 PDFBibTeX XMLCite \textit{E. A. Levchenko} et al., J. Math. Anal. Appl. 395, No. 2, 716--726 (2012; Zbl 1248.45007) Full Text: DOI
Cabada, Alberto; Souroujon, Diko; Tersian, Stepan Heteroclinic solutions of a second-order difference equation related to the Fisher-Kolmogorov’s equation. (English) Zbl 1245.39003 Appl. Math. Comput. 218, No. 18, 9442-9450 (2012). MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada} et al., Appl. Math. Comput. 218, No. 18, 9442--9450 (2012; Zbl 1245.39003) Full Text: DOI
Macías-Díaz, Jorge Eduardo; Puri, Ashok An explicit positivity-preserving finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation. (English) Zbl 1244.65125 Appl. Math. Comput. 218, No. 9, 5829-5837 (2012). MSC: 65M06 65M12 92D25 35Q92 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} and \textit{A. Puri}, Appl. Math. Comput. 218, No. 9, 5829--5837 (2012; Zbl 1244.65125) Full Text: DOI
Trifonov, A. Yu.; Shapovalov, A. V. Semiclassical approximation for the twodimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with nonlocal nonlinearity in polar coordinates. (English. Russian original) Zbl 1329.81190 Russ. Phys. J. 53, No. 12, 1243-1253 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 53, No. 12, 21–29 (2010). MSC: 81Q20 35K57 PDFBibTeX XMLCite \textit{A. Yu. Trifonov} and \textit{A. V. Shapovalov}, Russ. Phys. J. 53, No. 12, 1243--1253 (2011; Zbl 1329.81190); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 53, No. 12, 21--29 (2010) Full Text: DOI
Zhang, Yu-Lian; Sun, Zhi-Zhong A second-order linearized finite difference scheme for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation. (English) Zbl 1244.65250 Int. J. Comput. Math. 88, No. 16, 3394-3405 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{Y.-L. Zhang} and \textit{Z.-Z. Sun}, Int. J. Comput. Math. 88, No. 16, 3394--3405 (2011; Zbl 1244.65250) Full Text: DOI
Macías-Díaz, J. E.; Puri, A. On some explicit non-standard methods to approximate nonnegative solutions of a weakly hyperbolic equation with logistic nonlinearity. (English) Zbl 1242.65166 Int. J. Comput. Math. 88, No. 15, 3308-3323 (2011). MSC: 65M06 35L20 35K57 35Q92 35L70 92B05 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} and \textit{A. Puri}, Int. J. Comput. Math. 88, No. 15, 3308--3323 (2011; Zbl 1242.65166) Full Text: DOI
Khiari, Noomen; Omrani, Khaled Finite difference discretization of the extended Fisher-Kolmogorov equation in two dimensions. (English) Zbl 1236.65113 Comput. Math. Appl. 62, No. 11, 4151-4160 (2011). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{N. Khiari} and \textit{K. Omrani}, Comput. Math. Appl. 62, No. 11, 4151--4160 (2011; Zbl 1236.65113) Full Text: DOI
Staley, Mark Growth and the diffusion of ideas. (English) Zbl 1236.91104 J. Math. Econ. 47, No. 4-5, 470-478 (2011). MSC: 91B62 PDFBibTeX XMLCite \textit{M. Staley}, J. Math. Econ. 47, No. 4--5, 470--478 (2011; Zbl 1236.91104) Full Text: DOI
Berestycki, J.; Harris, S. C.; Kyprianou, A. E. Traveling waves and homogeneous fragmentation. (English) Zbl 1245.60069 Ann. Appl. Probab. 21, No. 5, 1749-1794 (2011). Reviewer: Victor V. Goryainov (Volzhsky) MSC: 60J25 60G99 60K40 PDFBibTeX XMLCite \textit{J. Berestycki} et al., Ann. Appl. Probab. 21, No. 5, 1749--1794 (2011; Zbl 1245.60069) Full Text: DOI arXiv
Koleva, Miglena N.; Vulkov, Lubin G. Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics. (English) Zbl 1205.65217 Comput. Phys. Commun. 181, No. 3, 663-670 (2010). MSC: 65L10 34B15 65L20 PDFBibTeX XMLCite \textit{M. N. Koleva} and \textit{L. G. Vulkov}, Comput. Phys. Commun. 181, No. 3, 663--670 (2010; Zbl 1205.65217) Full Text: DOI
Macías-Díaz, J. E.; Puri, A. A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation. (English) Zbl 1195.65110 Appl. Numer. Math. 60, No. 9, 934-948 (2010). MSC: 65M06 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} and \textit{A. Puri}, Appl. Numer. Math. 60, No. 9, 934--948 (2010; Zbl 1195.65110) Full Text: DOI
Macías-Díaz, J. E.; Jerez-Galiano, S.; Puri, A. Positivity-preserving methods for a linearised Fisher-KPP equation with consistency properties in the energy domain. (English) Zbl 1188.65121 J. Difference Equ. Appl. 16, No. 4, 389-405 (2010). MSC: 65M06 35L70 35Q92 92D25 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} et al., J. Difference Equ. Appl. 16, No. 4, 389--405 (2010; Zbl 1188.65121) Full Text: DOI
Talay Akyildiz, F.; Siginer, Dennis A.; Vajravelu, K.; van Gorder, Robert A. Analytical and numerical results for the Swift-Hohenberg equation. (English) Zbl 1252.65178 Appl. Math. Comput. 216, No. 1, 221-226 (2010). MSC: 65M99 35C10 PDFBibTeX XMLCite \textit{F. Talay Akyildiz} et al., Appl. Math. Comput. 216, No. 1, 221--226 (2010; Zbl 1252.65178) Full Text: DOI
Wang, Shizhen Emily; Hinow, Peter; Bryce, Nicole; Weaver, Alissa M.; Estrada, Lourdes; Arteaga, Carlos L.; Webb, Glenn F. A mathematical model quantifies proliferation and motility effects of TGF-\(\beta\) on cancer cells. (English) Zbl 1317.92027 Comput. Math. Methods Med. 10, No. 1, 71-83 (2009). MSC: 92C37 92C50 PDFBibTeX XMLCite \textit{S. E. Wang} et al., Comput. Math. Methods Med. 10, No. 1, 71--83 (2009; Zbl 1317.92027) Full Text: DOI arXiv
Trifonov, A. Yu.; Shapovalov, A. V. The one-dimensional Fisher-Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation. (English. Russian original) Zbl 1202.81071 Russ. Phys. J. 52, No. 9, 899-911 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2009, No. 9, 14-23 (2009). MSC: 81Q20 92D30 PDFBibTeX XMLCite \textit{A. Yu. Trifonov} and \textit{A. V. Shapovalov}, Russ. Phys. J. 52, No. 9, 899--911 (2009; Zbl 1202.81071); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2009, No. 9, 14--23 (2009) Full Text: DOI
Yagisita, Hiroki Existence and nonexistence of traveling waves for a nonlocal monostable equation. (English) Zbl 1191.35093 Publ. Res. Inst. Math. Sci. 45, No. 4, 925-953 (2009). Reviewer: Svetlana A. Grishina (Ulyanovsk) MSC: 35C07 35K57 35K65 35K90 35R09 PDFBibTeX XMLCite \textit{H. Yagisita}, Publ. Res. Inst. Math. Sci. 45, No. 4, 925--953 (2009; Zbl 1191.35093) Full Text: DOI arXiv
Li, Chengyue Remarks on homoclinic solutions for semilinear fourth-order ordinary differential equations without periodicity. (English) Zbl 1199.34207 Appl. Math., Ser. B (Engl. Ed.) 24, No. 1, 49-55 (2009). MSC: 34C37 PDFBibTeX XMLCite \textit{C. Li}, Appl. Math., Ser. B (Engl. Ed.) 24, No. 1, 49--55 (2009; Zbl 1199.34207) Full Text: DOI
Saucez, P.; Some, L.; Vande Wouwer, A. Matlab implementation of a moving grid method based on the equidistribution principle. (English) Zbl 1179.65120 Appl. Math. Comput. 215, No. 5, 1821-1829 (2009). MSC: 65M20 PDFBibTeX XMLCite \textit{P. Saucez} et al., Appl. Math. Comput. 215, No. 5, 1821--1829 (2009; Zbl 1179.65120) Full Text: DOI
Aprahamian, Meline; Souroujon, Diko; Tersian, Stepan Fast solutions for a second-order difference equation related to Fisher-Kolmogorov’s equation. (English) Zbl 1199.39013 C. R. Acad. Bulg. Sci. 62, No. 6, 663-670 (2009). Reviewer: Angela Slavova (Sofia) MSC: 39A14 39A12 35Q62 PDFBibTeX XMLCite \textit{M. Aprahamian} et al., C. R. Acad. Bulg. Sci. 62, No. 6, 663--670 (2009; Zbl 1199.39013)
Macías-Díaz, J. E.; Medina-Ramírez, I. E.; Puri, A. Numerical treatment of the spherically symmetric solutions of a generalized Fisher-Kolmogorov-Petrovsky-Piscounov equation. (English) Zbl 1169.65103 J. Comput. Appl. Math. 231, No. 2, 851-868 (2009). MSC: 65M70 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} et al., J. Comput. Appl. Math. 231, No. 2, 851--868 (2009; Zbl 1169.65103) Full Text: DOI
Bereanu, Cristian Periodic solutions of some fourth-order nonlinear differential equations. (English) Zbl 1171.34317 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1-2, 53-57 (2009). MSC: 34C25 47N20 PDFBibTeX XMLCite \textit{C. Bereanu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1--2, 53--57 (2009; Zbl 1171.34317) Full Text: DOI