Lu, Xuan-ru; Gao, Guang-Hua; Sun, Zhi-Zhong Finite difference schemes for the fourth-order parabolic equations with different boundary value conditions. (English) Zbl 07779717 Numer. Methods Partial Differ. Equations 39, No. 1, 447-480 (2023). MSC: 65M06 65N06 65M12 65M15 41A58 35K35 PDFBibTeX XMLCite \textit{X.-r. Lu} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 447--480 (2023; Zbl 07779717) Full Text: DOI
Yu, Xiaoxuan; Xu, Yan; Du, Qiang Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon. (English) Zbl 07779686 Numer. Methods Partial Differ. Equations 38, No. 6, 1948-1966 (2022). MSC: 65M60 65M06 65N30 65M12 41A58 PDFBibTeX XMLCite \textit{X. Yu} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1948--1966 (2022; Zbl 07779686) Full Text: DOI
Lyngaas, Isaac; Peterson, Janet S. Using radial basis function quadrature rules to solve nonlocal continuum models. (English) Zbl 07779671 Numer. Methods Partial Differ. Equations 38, No. 6, 1595-1617 (2022). MSC: 65M12 65D12 65D30 35R09 60K50 41A58 76D50 PDFBibTeX XMLCite \textit{I. Lyngaas} and \textit{J. S. Peterson}, Numer. Methods Partial Differ. Equations 38, No. 6, 1595--1617 (2022; Zbl 07779671) Full Text: DOI
Kumar, Kamalesh; Podila, Pramod Chakravarthy A new stable finite difference scheme and its error analysis for two-dimensional singularly perturbed convection-diffusion equations. (English) Zbl 07778293 Numer. Methods Partial Differ. Equations 38, No. 5, 1215-1231 (2022). MSC: 65N06 65N50 65N12 65N15 41A58 35B25 76R50 PDFBibTeX XMLCite \textit{K. Kumar} and \textit{P. C. Podila}, Numer. Methods Partial Differ. Equations 38, No. 5, 1215--1231 (2022; Zbl 07778293) Full Text: DOI
Erfanifar, Raziyeh; Sayevand, Khosro; Ghanbari, Nasim; Esmaeili, Hamid A modified Chebyshev \(\vartheta \)-weighted Crank-Nicolson method for analyzing fractional sub-diffusion equations. (English) Zbl 07777713 Numer. Methods Partial Differ. Equations 37, No. 1, 614-625 (2021). MSC: 65M06 65N06 65M12 41A50 41A58 26A33 35R11 PDFBibTeX XMLCite \textit{R. Erfanifar} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 614--625 (2021; Zbl 07777713) Full Text: DOI
Abedian, Rooholah; Dehghan, Mehdi RBF-ENO/WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. (English) Zbl 07777712 Numer. Methods Partial Differ. Equations 37, No. 1, 594-613 (2021). MSC: 65M06 65N06 65D12 65D05 41A58 65M12 65L06 35F21 PDFBibTeX XMLCite \textit{R. Abedian} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 37, No. 1, 594--613 (2021; Zbl 07777712) Full Text: DOI
Bahia, Ghenaiet; Ouannas, Adel; Batiha, Iqbal M.; Odibat, Zaid The optimal homotopy analysis method applied on nonlinear time-fractional hyperbolic partial differential equation. (English) Zbl 07776056 Numer. Methods Partial Differ. Equations 37, No. 3, 2008-2022 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{G. Bahia} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2008--2022 (2021; Zbl 07776056) Full Text: DOI
Yang, Jie; Hu, Heng; Potier-Ferry, Michel Least-square collocation and Lagrange multipliers for Taylor meshless method. (English) Zbl 1419.65134 Numer. Methods Partial Differ. Equations 35, No. 1, 84-113 (2019). MSC: 65N35 65N55 35Q74 74B20 65N12 PDFBibTeX XMLCite \textit{J. Yang} et al., Numer. Methods Partial Differ. Equations 35, No. 1, 84--113 (2019; Zbl 1419.65134) Full Text: DOI
Baykus, Nurcan; Sezer, Mehmet Solution of high-order linear Fredholm integro-differential equations with piecewise intervals. (English) Zbl 1226.65106 Numer. Methods Partial Differ. Equations 27, No. 5, 1327-1339 (2011). MSC: 65R20 45J05 45B05 45A05 PDFBibTeX XMLCite \textit{N. Baykus} and \textit{M. Sezer}, Numer. Methods Partial Differ. Equations 27, No. 5, 1327--1339 (2011; Zbl 1226.65106) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet A collocation approach for the numerical solution of certain linear retarded and advanced integrodifferential equations with linear functional arguments. (English) Zbl 1209.65147 Numer. Methods Partial Differ. Equations 27, No. 2, 447-459 (2011). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Numer. Methods Partial Differ. Equations 27, No. 2, 447--459 (2011; Zbl 1209.65147) Full Text: DOI
Sezer, Mehmet; Tanay, Bekir; Gülsu, Mustafa Numerical solution of a class of complex differential equations by the Taylor collocation method in elliptic domains. (English) Zbl 1197.65098 Numer. Methods Partial Differ. Equations 26, No. 5, 1191-1205 (2010). MSC: 65L60 34M03 65E05 PDFBibTeX XMLCite \textit{M. Sezer} et al., Numer. Methods Partial Differ. Equations 26, No. 5, 1191--1205 (2010; Zbl 1197.65098) Full Text: DOI
Bülbül, Berna; Gülsu, Mustafa; Sezer, Mehmet A new Taylor collocation method for nonlinear Fredholm-Volterra integro-differential equations. (English) Zbl 1197.65222 Numer. Methods Partial Differ. Equations 26, No. 5, 1006-1020 (2010). MSC: 65R20 45J05 45G10 65H10 PDFBibTeX XMLCite \textit{B. Bülbül} et al., Numer. Methods Partial Differ. Equations 26, No. 5, 1006--1020 (2010; Zbl 1197.65222) Full Text: DOI
Sezer, Mehmet; Yalçinbaş, Salih A collocation method to solve higher order linear complex differential equations in rectangular domains. (English) Zbl 1189.65152 Numer. Methods Partial Differ. Equations 26, No. 3, 596-611 (2010). MSC: 65L60 34M03 65L05 65E05 PDFBibTeX XMLCite \textit{M. Sezer} and \textit{S. Yalçinbaş}, Numer. Methods Partial Differ. Equations 26, No. 3, 596--611 (2010; Zbl 1189.65152) Full Text: DOI
Dubovsky, Vadim; Yakhot, Alexander Finite-difference approximation for the \(u^{(k)}\)-derivative with \(O(h^{M-k+1})\) accuracy: an analytical expression. (English) Zbl 1108.65014 Numer. Methods Partial Differ. Equations 22, No. 5, 1070-1079 (2006). Reviewer: J. B. Butler jun. (Portland) MSC: 65D25 PDFBibTeX XMLCite \textit{V. Dubovsky} and \textit{A. Yakhot}, Numer. Methods Partial Differ. Equations 22, No. 5, 1070--1079 (2006; Zbl 1108.65014) Full Text: DOI
Kumar, B. V. Rathish; Mehra, Mani Time accurate fast wavelet-Taylor Galerkin method for partial differential equations. (English) Zbl 1089.65097 Numer. Methods Partial Differ. Equations 22, No. 2, 274-295 (2006). MSC: 65M60 65T60 35L45 35Q53 65M06 35K05 PDFBibTeX XMLCite \textit{B. V. R. Kumar} and \textit{M. Mehra}, Numer. Methods Partial Differ. Equations 22, No. 2, 274--295 (2006; Zbl 1089.65097) Full Text: DOI
Cantekin, M. E.; Westerink, J. J.; Luettich, R. A. jun. Low and moderate Reynolds number transient flow simulations using space filtered Navier-Stokes equations. (English) Zbl 0808.76066 Numer. Methods Partial Differ. Equations 10, No. 4, 491-524 (1994). MSC: 76M25 76M10 76D05 PDFBibTeX XMLCite \textit{M. E. Cantekin} et al., Numer. Methods Partial Differ. Equations 10, No. 4, 491--524 (1994; Zbl 0808.76066) Full Text: DOI
MacKinnon, R. J.; Langerman, M. A. Compact high-order finite-element method for elliptic transport problems with variable coefficients. (English) Zbl 0802.65110 Numer. Methods Partial Differ. Equations 10, No. 1, 1-19 (1994). Reviewer: Myron Sussman (Bethel Park) MSC: 65N30 65N15 65N06 35J25 PDFBibTeX XMLCite \textit{R. J. MacKinnon} and \textit{M. A. Langerman}, Numer. Methods Partial Differ. Equations 10, No. 1, 1--19 (1994; Zbl 0802.65110) Full Text: DOI
Dow, John O.; Jones, Michael S.; Harwood, Shawn A. A generalized finite difference method for solid mechanics. (English) Zbl 0699.73059 Numer. Methods Partial Differ. Equations 6, No. 2, 137-152 (1990). MSC: 74S30 PDFBibTeX XMLCite \textit{J. O. Dow} et al., Numer. Methods Partial Differ. Equations 6, No. 2, 137--152 (1990; Zbl 0699.73059) Full Text: DOI
Ananthakrishnaiah, U.; Manohar, R.; Stephenson, J. W. High-order methods for elliptic equations with variable coefficients. (English) Zbl 0651.65067 Numer. Methods Partial Differ. Equations 3, No. 3, 219-227 (1987). Reviewer: P.K.Mahanti MSC: 65N06 65N12 35J25 PDFBibTeX XMLCite \textit{U. Ananthakrishnaiah} et al., Numer. Methods Partial Differ. Equations 3, No. 3, 219--227 (1987; Zbl 0651.65067) Full Text: DOI