Munyakazi, Justin B.; Patidar, Kailash C.; Sayi, Mbani T. A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer. (English) Zbl 1431.65136 Numer. Methods Partial Differ. Equations 35, No. 6, 2407-2422 (2019). MSC: 65M06 65L06 65M12 65M15 35B25 PDFBibTeX XMLCite \textit{J. B. Munyakazi} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2407--2422 (2019; Zbl 1431.65136) Full Text: DOI
Darian, Hossein Mahmoodi; Bozorgpour, Reza; Shafaee, Maziar Numerical experiments on a hybrid WENO5 filter for shock-capturing. (English) Zbl 1430.76379 Numer. Methods Partial Differ. Equations 35, No. 6, 2375-2406 (2019). MSC: 76M20 65M06 65L06 65N06 76N15 76D05 76L05 PDFBibTeX XMLCite \textit{H. M. Darian} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2375--2406 (2019; Zbl 1430.76379) Full Text: DOI
Ackleh, Azmy S.; Miller, Robert L. A numerical method for a nonlinear structured population model with an indefinite growth rate coupled with the environment. (English) Zbl 1431.65129 Numer. Methods Partial Differ. Equations 35, No. 6, 2348-2374 (2019). MSC: 65M06 35Q92 92D25 65M15 65M12 34B60 PDFBibTeX XMLCite \textit{A. S. Ackleh} and \textit{R. L. Miller}, Numer. Methods Partial Differ. Equations 35, No. 6, 2348--2374 (2019; Zbl 1431.65129) Full Text: DOI
Liu, Angran; Chen, Jinru A partially penalized \(P_1/CR\) immersed finite element method for planar elasticity interface problems. (English) Zbl 1430.74137 Numer. Methods Partial Differ. Equations 35, No. 6, 2318-2347 (2019). MSC: 74S05 65N30 65N15 74B05 PDFBibTeX XMLCite \textit{A. Liu} and \textit{J. Chen}, Numer. Methods Partial Differ. Equations 35, No. 6, 2318--2347 (2019; Zbl 1430.74137) Full Text: DOI
Radojev, Goran; Linß, Torsten Maximum-norm a posteriori error bounds for a collocation method applied to a singularly perturbed reaction-diffusion problem in three dimensions. (English) Zbl 1431.65226 Numer. Methods Partial Differ. Equations 35, No. 6, 2305-2317 (2019). MSC: 65N35 65D07 35B25 65N15 65N80 PDFBibTeX XMLCite \textit{G. Radojev} and \textit{T. Linß}, Numer. Methods Partial Differ. Equations 35, No. 6, 2305--2317 (2019; Zbl 1431.65226) Full Text: DOI
Winnicki, Ireneusz; Jasinski, Janusz; Pietrek, Slawomir New approach to the Lax-Wendroff modified differential equation for linear and nonlinear advection. (English) Zbl 1431.65138 Numer. Methods Partial Differ. Equations 35, No. 6, 2275-2304 (2019). MSC: 65M06 65M12 65M15 35L65 35Q35 PDFBibTeX XMLCite \textit{I. Winnicki} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2275--2304 (2019; Zbl 1431.65138) Full Text: DOI
Avazzadeh, Zakieh; Hassani, Hossein Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique. (English) Zbl 1431.65184 Numer. Methods Partial Differ. Equations 35, No. 6, 2258-2274 (2019). MSC: 65K10 35K57 PDFBibTeX XMLCite \textit{Z. Avazzadeh} and \textit{H. Hassani}, Numer. Methods Partial Differ. Equations 35, No. 6, 2258--2274 (2019; Zbl 1431.65184) Full Text: DOI
Bhowmik, Samir Kumar; Karakoc, Seydi B. G. Numerical approximation of the generalized regularized long wave equation using Petrov-Galerkin finite element method. (English) Zbl 1431.65169 Numer. Methods Partial Differ. Equations 35, No. 6, 2236-2257 (2019). MSC: 65M60 65D07 65M12 65M15 35Q51 35Q53 35C08 PDFBibTeX XMLCite \textit{S. K. Bhowmik} and \textit{S. B. G. Karakoc}, Numer. Methods Partial Differ. Equations 35, No. 6, 2236--2257 (2019; Zbl 1431.65169) Full Text: DOI arXiv
Kutluay, Selçuk; Karta, Melike; Yağmurlu, Nuri M. Operator time-splitting techniques combined with quintic B-spline collocation method for the generalized Rosenau-KdV equation. (English) Zbl 1431.65187 Numer. Methods Partial Differ. Equations 35, No. 6, 2221-2235 (2019). MSC: 65M70 65D07 65L06 35Q53 PDFBibTeX XMLCite \textit{S. Kutluay} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2221--2235 (2019; Zbl 1431.65187) Full Text: DOI
He, Zhengkang; Li, Rui; Chen, Jie; Chen, Zhangxin The discrete duality finite volume method for a class of quasi-Newtonian Stokes flows. (English) Zbl 1430.76370 Numer. Methods Partial Differ. Equations 35, No. 6, 2193-2220 (2019). MSC: 76M12 65N08 76A05 65N12 65N15 35A01 35A02 PDFBibTeX XMLCite \textit{Z. He} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2193--2220 (2019; Zbl 1430.76370) Full Text: DOI
Appadu, Appanah Rao Optimized composite finite difference schemes for atmospheric flow modeling. (English) Zbl 1431.65130 Numer. Methods Partial Differ. Equations 35, No. 6, 2171-2192 (2019). MSC: 65M06 65K10 35Q86 86A05 86A10 65M12 65N06 PDFBibTeX XMLCite \textit{A. R. Appadu}, Numer. Methods Partial Differ. Equations 35, No. 6, 2171--2192 (2019; Zbl 1431.65130) Full Text: DOI
Zhang, Yu; Yang, Yidu A correction method for finding lower bounds of eigenvalues of the second-order elliptic and Stokes operators. (English) Zbl 1431.65210 Numer. Methods Partial Differ. Equations 35, No. 6, 2149-2170 (2019). MSC: 65N25 65N30 76D07 35P20 35J15 65N15 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Yang}, Numer. Methods Partial Differ. Equations 35, No. 6, 2149--2170 (2019; Zbl 1431.65210) Full Text: DOI
He, Xuefei; Wang, Kun Uniformly convergent novel finite difference methods for singularly perturbed reaction-diffusion equations. (English) Zbl 1431.65198 Numer. Methods Partial Differ. Equations 35, No. 6, 2120-2148 (2019). MSC: 65N06 65N12 35B25 65L12 35J25 PDFBibTeX XMLCite \textit{X. He} and \textit{K. Wang}, Numer. Methods Partial Differ. Equations 35, No. 6, 2120--2148 (2019; Zbl 1431.65198) Full Text: DOI
Karageorghis, Andreas; Lesnic, Daniel The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. (English) Zbl 1430.76390 Numer. Methods Partial Differ. Equations 35, No. 6, 2103-2119 (2019). MSC: 76M21 76D07 65N80 65N21 65N20 65K10 35R30 35Q35 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{D. Lesnic}, Numer. Methods Partial Differ. Equations 35, No. 6, 2103--2119 (2019; Zbl 1430.76390) Full Text: DOI
Tri, Abdeljalil; Askour, Omar; Braikat, Bouazza; Zahrouni, Hamid; Potier-ferry, Michel Fundamental solutions and asymptotic numerical methods for bifurcation analysis of nonlinear bi-harmonic problems. (English) Zbl 1431.65232 Numer. Methods Partial Differ. Equations 35, No. 6, 2091-2102 (2019). MSC: 65N80 35B32 35C20 41A21 PDFBibTeX XMLCite \textit{A. Tri} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2091--2102 (2019; Zbl 1431.65232) Full Text: DOI
Huang, Chaobao; Stynes, Martin Superconvergence of the direct discontinuous Galerkin method for a time-fractional initial-boundary value problem. (English) Zbl 1431.65216 Numer. Methods Partial Differ. Equations 35, No. 6, 2076-2090 (2019). MSC: 65N30 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{C. Huang} and \textit{M. Stynes}, Numer. Methods Partial Differ. Equations 35, No. 6, 2076--2090 (2019; Zbl 1431.65216) Full Text: DOI
Kumar, Dileep; Chaudhary, Sudhakar; Kumar, V. V. K. Srinivas Fractional Crank-Nicolson-Galerkin finite element scheme for the time-fractional nonlinear diffusion equation. (English) Zbl 1431.65133 Numer. Methods Partial Differ. Equations 35, No. 6, 2056-2075 (2019). MSC: 65M06 65N30 35R11 35A01 65M12 65M15 65H10 35A02 PDFBibTeX XMLCite \textit{D. Kumar} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2056--2075 (2019; Zbl 1431.65133) Full Text: DOI arXiv
He, Wen-ming The local ultraconvergence of high-order finite element method for second-order elliptic problems with constant coefficients over a rectangular partition. (English) Zbl 1431.65215 Numer. Methods Partial Differ. Equations 35, No. 6, 2044-2055 (2019). MSC: 65N30 35J15 65N12 35E99 PDFBibTeX XMLCite \textit{W.-m. He}, Numer. Methods Partial Differ. Equations 35, No. 6, 2044--2055 (2019; Zbl 1431.65215) Full Text: DOI
Li, Jun; Jiang, Yao-lin; Miao, Zhen A parareal approach of semi-linear parabolic equations based on general waveform relaxation. (English) Zbl 1431.65135 Numer. Methods Partial Differ. Equations 35, No. 6, 2017-2043 (2019). MSC: 65M06 65Y05 35K58 65M12 35R11 65H10 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2017--2043 (2019; Zbl 1431.65135) Full Text: DOI
Garshasbi, Morteza Determination of unknown functions in a mathematical model of ductal carcinoma in situ. (English) Zbl 1430.35231 Numer. Methods Partial Differ. Equations 35, No. 6, 2000-2016 (2019). MSC: 35Q92 92C37 35R30 35B35 92C50 35A02 65M32 65M30 65M06 65J20 35B65 65M12 65M25 65D30 35R60 PDFBibTeX XMLCite \textit{M. Garshasbi}, Numer. Methods Partial Differ. Equations 35, No. 6, 2000--2016 (2019; Zbl 1430.35231) Full Text: DOI
Hu, Xiuling; Wang, Shanshan; Zhang, Luming Maximum error estimates for a compact difference scheme of the coupled nonlinear Schrödinger-Boussinesq equations. (English) Zbl 1430.35208 Numer. Methods Partial Differ. Equations 35, No. 6, 1971-1999 (2019). MSC: 35Q55 35Q35 35Q41 76X05 65M06 65M12 65M15 35A02 PDFBibTeX XMLCite \textit{X. Hu} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 1971--1999 (2019; Zbl 1430.35208) Full Text: DOI
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. (English) Zbl 1430.35201 Numer. Methods Partial Differ. Equations 35, No. 6, 1949-1970 (2019). MSC: 35Q35 35S05 65M20 65M70 65M06 65L06 34A30 34A34 PDFBibTeX XMLCite \textit{Z. Weng} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 1949--1970 (2019; Zbl 1430.35201) Full Text: DOI