Bollati, Julieta; Briozzo, Adriana C. Non-classical two-phase Stefan problem with variable thermal coefficients. (English) Zbl 07802029 J. Math. Anal. Appl. 534, No. 1, Article ID 128094, 30 p. (2024). MSC: 80A22 45G15 35R35 47H10 35A01 35A02 35Q79 PDFBibTeX XMLCite \textit{J. Bollati} and \textit{A. C. Briozzo}, J. Math. Anal. Appl. 534, No. 1, Article ID 128094, 30 p. (2024; Zbl 07802029) Full Text: DOI
Brizitskii, R. V.; Saritskaia, Zh. Yu. Multiplicative control problems for nonlinear reaction-diffusion-convection model. (English) Zbl 1460.35277 J. Dyn. Control Syst. 27, No. 2, 379-402 (2021). MSC: 35Q35 76D03 76D55 35B35 35B50 PDFBibTeX XMLCite \textit{R. V. Brizitskii} and \textit{Zh. Yu. Saritskaia}, J. Dyn. Control Syst. 27, No. 2, 379--402 (2021; Zbl 1460.35277) Full Text: DOI
Youssouf, Minoungou; Moussa, Bagayogo; Paré, Youssouf General solution of linear partial differential equations modeling homogeneous diffusion-convection-reaction problems with Cauchy initial condition. (English) Zbl 1438.65269 Eur. J. Pure Appl. Math. 12, No. 2, 519-532 (2019). MSC: 65M99 34A34 65L05 65L20 65M12 PDFBibTeX XMLCite \textit{M. Youssouf} et al., Eur. J. Pure Appl. Math. 12, No. 2, 519--532 (2019; Zbl 1438.65269) Full Text: Link
Laitinen, Erkki; Lapin, Alexander; Lapin, Sergey Easily implementable iterative methods for variational inequalities with nonlinear diffusion-convection operator and constraints to the gradient of solution. (English) Zbl 1309.65076 Russ. J. Numer. Anal. Math. Model. 30, No. 1, 43-54 (2015). MSC: 65K15 90C40 PDFBibTeX XMLCite \textit{E. Laitinen} et al., Russ. J. Numer. Anal. Math. Model. 30, No. 1, 43--54 (2015; Zbl 1309.65076) Full Text: DOI
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems. (English) Zbl 1278.65138 SIAM J. Numer. Anal. 51, No. 2, 773-793 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M50 35K65 65M06 65M60 PDFBibTeX XMLCite \textit{V. Dolejší} et al., SIAM J. Numer. Anal. 51, No. 2, 773--793 (2013; Zbl 1278.65138) Full Text: DOI HAL
De Lillo, Silvana; Burini, Diletta An inverse problem for a nonlinear diffusion-convection equation. (English) Zbl 1254.35242 Acta Appl. Math. 122, No. 1, 69-74 (2012). MSC: 35R30 35K57 PDFBibTeX XMLCite \textit{S. De Lillo} and \textit{D. Burini}, Acta Appl. Math. 122, No. 1, 69--74 (2012; Zbl 1254.35242) Full Text: DOI
Ghasemi, M.; Kajani, M. Tavassoli Application of He’s homotopy perturbation method to solve a diffusion-convection problem. (English) Zbl 1211.65134 Math. Sci. Q. J. 4, No. 2, 171-186 (2010). MSC: 65M70 35K20 35K61 PDFBibTeX XMLCite \textit{M. Ghasemi} and \textit{M. T. Kajani}, Math. Sci. Q. J. 4, No. 2, 171--186 (2010; Zbl 1211.65134) Full Text: Link
Li, Jibin; Zhang, Yi On the traveling wave solutions for a nonlinear diffusion-convection equation: dynamical system approach. (English) Zbl 1364.34067 Discrete Contin. Dyn. Syst., Ser. B 14, No. 3, 1119-1138 (2010). MSC: 34C37 34A05 34C07 34C05 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 14, No. 3, 1119--1138 (2010; Zbl 1364.34067) Full Text: DOI
Sachdev, P. L.; Srinivasa Rao, Ch. Large time asymptotics for solutions of nonlinear partial differential equations. (English) Zbl 1243.35002 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-0-387-87808-9/hbk; 978-1-4614-2490-1/pbk; 978-0-387-87809-6/ebook). viii, 235 p. (2010). Reviewer: Andrey E. Shishkov (Donetsk) MSC: 35-02 35Q35 35B40 35C06 35C07 35K55 PDFBibTeX XMLCite \textit{P. L. Sachdev} and \textit{Ch. Srinivasa Rao}, Large time asymptotics for solutions of nonlinear partial differential equations. Berlin: Springer (2010; Zbl 1243.35002) Full Text: DOI
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi An \(O(k^{2} + kh^{2} + h^{4})\) arithmetic average discretization for the solution of 1-D nonlinear parabolic equations. (English) Zbl 1116.65105 Numer. Methods Partial Differ. Equations 23, No. 3, 640-651 (2007). MSC: 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., Numer. Methods Partial Differ. Equations 23, No. 3, 640--651 (2007; Zbl 1116.65105) Full Text: DOI
Galligani, Emanuele The arithmetic mean method for solving systems of nonlinear equations in finite differences. (English) Zbl 1148.65313 Appl. Math. Comput. 181, No. 1, 579-597 (2006). MSC: 65M06 35K55 65M12 PDFBibTeX XMLCite \textit{E. Galligani}, Appl. Math. Comput. 181, No. 1, 579--597 (2006; Zbl 1148.65313) Full Text: DOI
Mohanty, R. K. A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\). (English) Zbl 1104.65315 Appl. Math. Comput. 183, No. 1, 477-485 (2006). MSC: 65L10 34B16 65L20 65L12 65L70 PDFBibTeX XMLCite \textit{R. K. Mohanty}, Appl. Math. Comput. 183, No. 1, 477--485 (2006; Zbl 1104.65315) Full Text: DOI
De Lillo, S.; Salvatori, M. C.; Sanchini, G. On a free boundary problem in a nonlinear diffusive-convective system. (English) Zbl 1011.76084 Phys. Lett., A 310, No. 1, 25-29 (2003). MSC: 76R99 35R35 PDFBibTeX XMLCite \textit{S. De Lillo} et al., Phys. Lett., A 310, No. 1, 25--29 (2003; Zbl 1011.76084) Full Text: DOI
Inc, M.; Cherruault, Y. A new approach to solve a diffusion-convection problem. (English) Zbl 1015.65053 Kybernetes 31, No. 3-4, 536-549 (2002). MSC: 65M70 35K55 PDFBibTeX XMLCite \textit{M. Inc} and \textit{Y. Cherruault}, Kybernetes 31, No. 3--4, 536--549 (2002; Zbl 1015.65053) Full Text: DOI
Knoll, D. A.; Rider, W. J. A multigrid preconditioned Newton-Krylov method. (English) Zbl 0952.65102 SIAM J. Sci. Comput. 21, No. 2, 691-710 (1999). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N55 65N12 65H10 65F35 35Q30 35J65 35Q53 PDFBibTeX XMLCite \textit{D. A. Knoll} and \textit{W. J. Rider}, SIAM J. Sci. Comput. 21, No. 2, 691--710 (1999; Zbl 0952.65102) Full Text: DOI
Jourdain, B. Convergence of moderately interacting particle systems to a diffusion-convection equation. (English) Zbl 0942.60095 Stochastic Processes Appl. 73, No. 2, 247-270 (1998). Reviewer: B.Maslowski (Praha) MSC: 60K35 PDFBibTeX XMLCite \textit{B. Jourdain}, Stochastic Processes Appl. 73, No. 2, 247--270 (1998; Zbl 0942.60095) Full Text: DOI
Pao, C. V. Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay. (English) Zbl 0919.65056 Numer. Methods Partial Differ. Equations 14, No. 3, 339-351 (1998). Reviewer: Yunkang Liu (Cambridge) MSC: 65M06 92D25 35K57 65H10 PDFBibTeX XMLCite \textit{C. V. Pao}, Numer. Methods Partial Differ. Equations 14, No. 3, 339--351 (1998; Zbl 0919.65056) Full Text: DOI
Li, Shuanhu Similarity solution for an axially symmetric flow of fresh and salt groundwater with nonconstant injection rate. (English) Zbl 0872.35088 Appl. Anal. 61, No. 1-2, 129-147 (1996). Reviewer: S.Li (Beijing) MSC: 35Q35 35K35 34B10 76S05 PDFBibTeX XMLCite \textit{S. Li}, Appl. Anal. 61, No. 1--2, 129--147 (1996; Zbl 0872.35088) Full Text: DOI
Kersner, R.; Natalini, R.; Tesei, A. Shocks and free boundaries: The local behaviour. (English) Zbl 0830.35151 Asymptotic Anal. 10, No. 1, 77-93 (1995). MSC: 35R35 35K65 76L05 PDFBibTeX XMLCite \textit{R. Kersner} et al., Asymptotic Anal. 10, No. 1, 77--93 (1995; Zbl 0830.35151)
Picasso, M. An adaptive finite element algorithm for a two-dimensional stationary Stefan-like problem. (English) Zbl 0945.65519 Comput. Methods Appl. Mech. Eng. 124, No. 3, 213-230 (1995). MSC: 65M60 80A22 35K55 35R35 65M50 65M15 PDFBibTeX XMLCite \textit{M. Picasso}, Comput. Methods Appl. Mech. Eng. 124, No. 3, 213--230 (1995; Zbl 0945.65519) Full Text: DOI
Escobedo, Miguel; Vázquez, Juan Luis; Zuazua, Enrike A diffusion-convection equation in several space dimensions. (English) Zbl 0791.35059 Indiana Univ. Math. J. 42, No. 4, 1413-1440 (1993). Reviewer: M.Escobedo (Bilbao) MSC: 35K55 35B40 PDFBibTeX XMLCite \textit{M. Escobedo} et al., Indiana Univ. Math. J. 42, No. 4, 1413--1440 (1993; Zbl 0791.35059) Full Text: DOI
Adžić, Nevenka Modified Hermite polynomials in the spectral approximation for boundary layer problems. (English) Zbl 0739.65068 Bull. Aust. Math. Soc. 45, No. 2, 267-276 (1992). Reviewer: D.Petcu (Heidelberg) MSC: 65L10 65L60 34B15 PDFBibTeX XMLCite \textit{N. Adžić}, Bull. Aust. Math. Soc. 45, No. 2, 267--276 (1992; Zbl 0739.65068) Full Text: DOI
Sacks, Paul Qualitative behavior for a class of reaction-diffusion-convection equations. (English) Zbl 0673.35055 Nonlinear diffusion equations and their equilibrium states II, Proc. Microprogram, Berkeley/Calif. 1986, Publ., Math. Sci. Res. Inst. 13, 245-253 (1988). Reviewer: K.Hawlitschek MSC: 35K60 35B40 35B35 35K20 35K57 PDFBibTeX XML
Jerome, J. W. Evolution systems in semiconductor device modeling: a cyclic uncoupled line analysis for the Gummel map. (English) Zbl 0657.35112 Math. Methods Appl. Sci. 9, 455-492 (1987). MSC: 35Q99 35K57 35J65 35A05 35K60 PDFBibTeX XMLCite \textit{J. W. Jerome}, Math. Methods Appl. Sci. 9, 455--492 (1987; Zbl 0657.35112) Full Text: DOI
Roose, D.; Hlavaček, V. A direct method for the computation of Hopf bifurcation points. (English) Zbl 0592.65080 SIAM J. Appl. Math. 45, 879-894 (1985). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N40 65H17 65L10 35G10 35K25 PDFBibTeX XMLCite \textit{D. Roose} and \textit{V. Hlavaček}, SIAM J. Appl. Math. 45, 879--894 (1985; Zbl 0592.65080) Full Text: DOI
Jaffre, J. Mixed finite elements for the water flooding problem. (English) Zbl 0483.76111 Numerical methods for coupled problems, Proc. int. Conf., Swansea 1981, 968-976 (1981). MSC: 76T99 76S05 76M99 65N30 PDFBibTeX XML
Seidman, Thomas I. A nonlinearly elliptic system arising in semiconductor theory. (English) Zbl 0467.35045 Analyse et controle de systemes, Semin. Rocquencourt 1979, 83-95 (1979). MSC: 35J65 35A05 82D10 35A35 47H07 PDFBibTeX XML