Donskoi, I. G. Variational problems for combustion theory equations. (English. Russian original) Zbl 07730154 J. Appl. Mech. Tech. Phys. 63, No. 5, 773-781 (2022); translation from Prikl. Mekh. Tekh. Fiz. 63, No. 5, 51-61 (2022). MSC: 80-XX 76-XX PDFBibTeX XMLCite \textit{I. G. Donskoi}, J. Appl. Mech. Tech. Phys. 63, No. 5, 773--781 (2022; Zbl 07730154); translation from Prikl. Mekh. Tekh. Fiz. 63, No. 5, 51--61 (2022) Full Text: DOI
Singh, Satyvir Mixed-type discontinuous Galerkin approach for solving the generalized FitzHugh-Nagumo reaction-diffusion model. (English) Zbl 07489986 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 207, 16 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Singh}, Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 207, 16 p. (2021; Zbl 07489986) Full Text: DOI
Takembo, Clovis Ntahkie; Mvogo, Alain; Fouda, H. P. Ekobena; Kofane, T. C. Localized modulated wave solution of diffusive Fitzhugh-Nagumo cardiac networks under magnetic flow effect. (English) Zbl 1439.35456 Nonlinear Dyn. 95, No. 2, 1079-1098 (2019). MSC: 35Q56 92C50 35Q51 PDFBibTeX XMLCite \textit{C. N. Takembo} et al., Nonlinear Dyn. 95, No. 2, 1079--1098 (2019; Zbl 1439.35456) Full Text: DOI
Wang, Jue; Liu, QinPan; Luo, YueSheng The numerical analysis of the long time asymptotic behavior for Lotka-Volterra competition model with diffusion. (English) Zbl 1411.65117 Numer. Funct. Anal. Optim. 40, No. 6, 685-705 (2019). MSC: 65M06 65M12 92D25 PDFBibTeX XMLCite \textit{J. Wang} et al., Numer. Funct. Anal. Optim. 40, No. 6, 685--705 (2019; Zbl 1411.65117) Full Text: DOI
Magagula, V. M.; Motsa, S. S.; Sibanda, P. A multi-domain bivariate pseudospectral method for evolution equations. (English) Zbl 1404.65198 Int. J. Comput. Methods 14, No. 4, Article ID 1750041, 27 p. (2017). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{V. M. Magagula} et al., Int. J. Comput. Methods 14, No. 4, Article ID 1750041, 27 p. (2017; Zbl 1404.65198) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Abdelkawy, M. A.; Van Gorder, Robert A. Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions. (English) Zbl 1446.65124 Appl. Math. Modelling 40, No. 3, 1703-1716 (2016). MSC: 65M70 35K20 35K57 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Appl. Math. Modelling 40, No. 3, 1703--1716 (2016; Zbl 1446.65124) Full Text: DOI
Jang, T. S. A new solution procedure for the nonlinear telegraph equation. (English) Zbl 1510.65278 Commun. Nonlinear Sci. Numer. Simul. 29, No. 1-3, 307-326 (2015). MSC: 65M99 35L71 PDFBibTeX XMLCite \textit{T. S. Jang}, Commun. Nonlinear Sci. Numer. Simul. 29, No. 1--3, 307--326 (2015; Zbl 1510.65278) Full Text: DOI
Golbabai, Ahmad; Nikpour, Ahmad Stability and convergence of radial basis function finite difference method for the numerical solution of the reaction-diffusion equations. (English) Zbl 1410.65307 Appl. Math. Comput. 271, 567-580 (2015). MSC: 65M06 35K57 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{A. Nikpour}, Appl. Math. Comput. 271, 567--580 (2015; Zbl 1410.65307) Full Text: DOI
Hearns, Jessica; Van Gorder, Robert A.; Choudhury, S. Roy Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions. (English) Zbl 1309.35040 Appl. Math. Comput. 219, No. 6, 3055-3064 (2012). MSC: 35K57 35C05 PDFBibTeX XMLCite \textit{J. Hearns} et al., Appl. Math. Comput. 219, No. 6, 3055--3064 (2012; Zbl 1309.35040) Full Text: DOI
Van Gorder, Robert A. Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method. (English) Zbl 1243.35163 Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1233-1240 (2012). MSC: 35Q92 35L71 35C07 35B65 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1233--1240 (2012; Zbl 1243.35163) Full Text: DOI