Finite Difference Schemes For The Heat Equation

Introduction to Partial Differential Equations - Texts in Applied Mathematics ◽

10.1007/978-0-387-22773-3_4 ◽

2008 ◽

pp. 117-158

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Difference Schemes ◽

Finite Difference Schemes

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Chapter 20: Finite difference schemes for the heat equation in one dimension

Programming Projects in C for Students of Engineering, Science, and Mathematics ◽

10.1137/1.9781611973501.ch20 ◽

2014 ◽

pp. 251-281

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Difference Schemes ◽

One Dimension ◽

Finite Difference Schemes

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High Order Finite Difference Schemes for the Heat Equation Whose Convergence Rates are Higher Than Their Truncation Errors

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 ◽

10.1007/978-3-319-19800-2_13 ◽

2015 ◽

pp. 167-178 ◽

Author(s):

A. Ditkowski

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Convergence Rates ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Truncation Errors ◽

High Order Finite Difference

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On the convergence of finite difference schemes for the heat equation with concentrated capacity

Numerische Mathematik ◽

10.1007/s002110100280 ◽

2001 ◽

Vol 89 (4) ◽

pp. 715-734 ◽

Author(s):

B.S. Jovanovic ◽

L.G. Vulkov

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Difference Schemes ◽

Finite Difference Schemes

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Finite difference schemes satisfying an optimality condition for the unsteady heat equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2014.02.007 ◽

2014 ◽

Vol 106 ◽

pp. 76-83 ◽

Author(s):

Francisco J. Domínguez-Mota ◽

Sanzon Mendoza Armenta ◽

G. Tinoco-Guerrero ◽

J.G. Tinoco-Ruiz

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Optimality Condition ◽

Difference Schemes ◽

Finite Difference Schemes

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Finite difference schemes for an axisymmetric nonlinear heat equation with blow-up

ETNA - Electronic Transactions on Numerical Analysis ◽

10.1553/etna_vol52s391 ◽

2020 ◽

Vol 52 ◽

pp. 391-415

Author(s):

Chien-Hong Cho ◽

Hisashi Okamoto

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Blow Up ◽

Difference Schemes ◽

Nonlinear Heat Equation ◽

Finite Difference Schemes

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Finite Difference Schemes for the Heat Equation

Introduction to Partial Differential Equations - Texts in Applied Mathematics ◽

10.1007/3-540-26740-9_4 ◽

2005 ◽

pp. 117-158

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Difference Schemes ◽

Finite Difference Schemes

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Parallel finite difference schemes for heat equation based upon overlapping domain decomposition

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.169 ◽

2007 ◽

Vol 186 (2) ◽

pp. 1276-1292 ◽

Author(s):

Tian Min ◽

Danping Yang

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Domain Decomposition ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Overlapping Domain Decomposition

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Finite Difference Schemes for a Non-linear Heat Equation with Functional Dependence

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/(sici)1521-4001(199901)79:1<53::aid-zamm53>3.0.co;2-a ◽

1999 ◽

Vol 79 (1) ◽

pp. 53-64 ◽

Author(s):

H. Leszczyński

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Functional Dependence ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Linear Heat Equation ◽

Linear Heat ◽

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The two-level finite difference schemes for the heat equation with nonlocal initial condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.09.025 ◽

2019 ◽

Vol 342 ◽

pp. 166-177 ◽

Author(s):

Jesús Martín-Vaquero ◽

Svajūnas Sajavičius

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Condition ◽

Nonlocal Initial Condition

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Entropically Damped Artificial Compressibility Solver Using Higher Order Finite Difference Schemes on Curvilinear and Deforming Meshes

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-0634 ◽

2021 ◽

Author(s):

Shankar Achu ◽

Nagabhushana Rao Vadlamani

Keyword(s):

Finite Difference ◽

Higher Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Artificial Compressibility

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