Chen, Yongtang; Wang, Qi Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments of advanced type. (English) Zbl 07789900 Math. Model. Anal. 28, No. 3, 434-458 (2023). MSC: 65M12 65M60 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Math. Model. Anal. 28, No. 3, 434--458 (2023; Zbl 07789900) Full Text: DOI
Hou, Bo; Zhang, Chengjian A high-order compact difference method and its Richardson extrapolation for semi-linear reaction-diffusion equations with piecewise continuous argument in diffusion term. (English) Zbl 07703859 Math. Comput. Simul. 210, 169-183 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{B. Hou} and \textit{C. Zhang}, Math. Comput. Simul. 210, 169--183 (2023; Zbl 07703859) Full Text: DOI
Han, Hao; Zhang, Chengjian Asymptotical stability of neutral reaction-diffusion equations with PCAs and their finite element methods. (English) Zbl 1515.65243 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 4, 1865-1880 (2023). MSC: 65M60 35K57 PDFBibTeX XMLCite \textit{H. Han} and \textit{C. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 4, 1865--1880 (2023; Zbl 1515.65243) Full Text: DOI
Chen, Yongtang; Wang, Qi Convergence and stability of spectral collocation method for hyperbolic partial differential equation with piecewise continuous arguments. (English) Zbl 1513.65401 Comput. Appl. Math. 41, No. 8, Paper No. 387, 27 p. (2022). MSC: 65M70 65M60 65M06 65N35 65M12 35B35 35B40 35L10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Comput. Appl. Math. 41, No. 8, Paper No. 387, 27 p. (2022; Zbl 1513.65401) Full Text: DOI
Han, Hao; Zhang, Chengjian One-parameter Galerkin finite element methods for neutral reaction-diffusion equations with piecewise continuous arguments. (English) Zbl 1484.65221 J. Sci. Comput. 90, No. 3, Paper No. 91, 19 p. (2022). MSC: 65M60 65M12 65M15 65M20 PDFBibTeX XMLCite \textit{H. Han} and \textit{C. Zhang}, J. Sci. Comput. 90, No. 3, Paper No. 91, 19 p. (2022; Zbl 1484.65221) Full Text: DOI
Chen, Yongtang; Wang, Qi Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments. (English) Zbl 1492.65234 J. Difference Equ. Appl. 28, No. 1, 39-57 (2022). MSC: 65M06 65D12 65M12 35L10 35B40 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, J. Difference Equ. Appl. 28, No. 1, 39--57 (2022; Zbl 1492.65234) Full Text: DOI
Esmailzadeh, M.; Najafi, H. Saberi; Aminikhah, H. A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients. (English) Zbl 1476.65169 J. Difference Equ. Appl. 27, No. 2, 172-194 (2021). MSC: 65M06 65N06 65M12 65M15 65D32 PDFBibTeX XMLCite \textit{M. Esmailzadeh} et al., J. Difference Equ. Appl. 27, No. 2, 172--194 (2021; Zbl 1476.65169) Full Text: DOI
Esmaeilzadeh, Mojgan; Saberi, Najafi Hashem; Aminikhah, Hossein A numerical scheme for diffusion-convection equation with piecewise constant arguments. (English) Zbl 1474.65212 Comput. Methods Differ. Equ. 8, No. 3, 573-584 (2020). MSC: 65L05 PDFBibTeX XMLCite \textit{M. Esmaeilzadeh} et al., Comput. Methods Differ. Equ. 8, No. 3, 573--584 (2020; Zbl 1474.65212) Full Text: DOI
Wang, Qi; Wang, Xiaoming Stability of \(\theta \)-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type. (English) Zbl 1499.35081 Int. J. Comput. Math. 96, No. 12, 2352-2370 (2019). MSC: 35B35 65M06 65M12 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{X. Wang}, Int. J. Comput. Math. 96, No. 12, 2352--2370 (2019; Zbl 1499.35081) Full Text: DOI