A high-order difference scheme for a nonlocal boundary-value problem for the heat equation.
Sun, Zhi-Zhong (2001)
Computational Methods in Applied Mathematics
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Displaying similar documents to “Parabolic-elliptic correspondence of a three-level finite difference approximation to the heat equation.”
A high-order difference scheme for a nonlocal boundary-value problem for the heat equation.
On some finite difference schemes for solution of hyperbolic heat conduction problems
Raimondas Čiegis, Aleksas Mirinavičius (2011)
Open Mathematics
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We consider the accuracy of two finite difference schemes proposed recently in [Roy S., Vasudeva Murthy A.S., Kudenatti R.B., A numerical method for the hyperbolic-heat conduction equation based on multiple scale technique, Appl. Numer. Math., 2009, 59(6), 1419–1430], and [Mickens R.E., Jordan P.M., A positivity-preserving nonstandard finite difference scheme for the damped wave equation, Numer. Methods Partial Differential Equations, 2004, 20(5), 639–649] to solve an initial-boundary...
Numerical analysis of nonlinear elliptic-parabolic equations
Emmanuel Maitre (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper deals with the numerical approximation of mild solutions of elliptic-parabolic equations, relying on the existence results of Bénilan and Wittbold (1996). We introduce a new and simple algorithm based on Halpern's iteration for nonexpansive operators (Bauschke, 1996; Halpern, 1967; Lions, 1977), which is shown to be convergent in the degenerate case, and compare it with existing schemes (Jäger and Kačur, 1995; Kačur, 1999).
Difference schemes with nonlocal boundary conditions.
Goolin, Alexei V., Ionkin, Nikolai I., Morozova, Valentina A. (2001)
Computational Methods in Applied Mathematics
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New schemes for a two-dimensional inverse problem with temperature overspecification.
Dehghan, Mehdi (2001)
Mathematical Problems in Engineering
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Some High Accuracy Difference Schemes with a Splitting Operator for Equations of Parabolic and Elliptic Type.
A.R. MITCHELL, G. FAIRWEATHER, A.R. GOURLAY (1967)
Numerische Mathematik
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Resolvent estimates in for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.
Crouzeix, Michel, Thomée, Vidar (2001)
Computational Methods in Applied Mathematics
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A convergence proof of a difference scheme for a parabolic system
A. Fitzke (1970)
Annales Polonici Mathematici
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Determination of an unknown parameter in a semi-linear parabolic equation.
Dehghan, Mehdi (2002)
Mathematical Problems in Engineering
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Semidiscrete central difference method in time for determining surface temperatures.
Qian, Zhi, Fu, Chu-Li, Xiong, Xiang-Tuan (2005)
International Journal of Mathematics and Mathematical Sciences
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A Harnack inequality for solutions of difference differential equations of elliptic-parabolic type.
Masashi Misawa (1993)
Mathematische Zeitschrift
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Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis
A. Poliński (2006)
Annales Polonici Mathematici
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We study the initial-value problem for parabolic equations with time dependent coefficients and with nonlinear and nonlocal right-hand sides. Nonlocal terms appear in the unknown function and its gradient. We analyze convergence of explicit finite difference schemes by means of discrete fundamental solutions.