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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 44, 2003 - Issue 6
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Original Articles

SOLVING THE STEFAN PROBLEM WITH THE RADIAL BASIS FUNCTION COLLOCATION MEHOD

I Kovačević Laboratory for Refrigeration, Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia
,
A Poredoš Laboratory for Refrigeration, Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia
&
B Šarler Laboratory for Multiphase Processes, Nova Gorica Polytechnic, Nova Gorica, Slovenia
Pages 575-599 | Published online: 02 Feb 2011

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C.M. Fan, Y.C. Liu, H.F. Chan & S.S. Hsiao. (2014) Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. Inverse Problems in Science and Engineering 22:2, pages 267-281.
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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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E. Feulvarch & J.-M. Bergheau. (2007) An Implicit Fixed-Grid Method for the Finite-Element Analysis of Heat Transfer Involving Phase Changes. Numerical Heat Transfer, Part B: Fundamentals 51:6, pages 585-610.
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H. Sadat, N. Dubus, L. Gbahoué & T. Sophy. (2006) On the Solution Of Heterogeneous Heat Conduction Problems by a Diffuse Approximation Meshless Method. Numerical Heat Transfer, Part B: Fundamentals 50:6, pages 491-498.
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Beathe Furenes & Bernt Lie. (2006) Using Event Location in Finite-Difference Methods for Phase-Change Problems. Numerical Heat Transfer, Part B: Fundamentals 50:2, pages 143-155.
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Articles from other publishers (13)

Geeta Arora, KiranBala, Homan Emadifar & Masoumeh Khademi. (2023) A review of radial basis function with applications explored. Journal of the Egyptian Mathematical Society 31:1.
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Myrto Zeneli, Aris Nikolopoulos, Sotirios Karellas & Nikolaos Nikolopoulos. 2021. Ultra-High Temperature Thermal Energy Storage, Transfer and Conversion. Ultra-High Temperature Thermal Energy Storage, Transfer and Conversion 165 199 .
Shuang Han, Dong-Sheng Jeng & Chia-Cheng Tsai. (2019) Response of a Porous Seabed around an Immersed Tunnel under Wave Loading: Meshfree Model. Journal of Marine Science and Engineering 7:10, pages 369.
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Jia-Dong Tang, Zhi-Hong He, Han Liu, Shi-Kui Dong & He-Ping Tan. (2018) Reproducing kernel particle method for coupled conduction–radiation phase-change heat transfer. International Journal of Heat and Mass Transfer 120, pages 387-398.
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Mehdi Dehghan & Mahboubeh Najafi. (2016) Numerical solution of a non-classical two-phase Stefan problem via radial basis function (RBF) collocation methods. Engineering Analysis with Boundary Elements 72, pages 111-127.
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Xueying Zhang, Muyuan Chen, C.S. Chen & Zhiyong Li. (2016) Localized method of approximate particular solutions for solving unsteady Navier–Stokes problem. Applied Mathematical Modelling 40:3, pages 2265-2273.
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Chia-Cheng Tsai, Zhong-Han Lin & Tai-Wen Hsu. (2015) Using a local radial basis function collocation method to approximate radiation boundary conditions. Ocean Engineering 105, pages 231-241.
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Chia-Cheng Tsai. (2015) Generalized polyharmonic multiquadrics. Engineering Analysis with Boundary Elements 50, pages 239-248.
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Wen Chen, Zhuo-Jia Fu & C.S. ChenWen Chen, Zhuo-Jia Fu & C. S. Chen. 2014. Recent Advances in Radial Basis Function Collocation Methods. Recent Advances in Radial Basis Function Collocation Methods 29 50 .
Aitor Urresti, Jose María Sala, Ana García-Romero, Gonzalo Diarce & Cesar Escudero. (2012) Validation of heat transfer models for PCMs with a conductivimeter. Energy Procedia 30, pages 395-403.
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Božidar Šarler. 2007. Advances in Meshfree Techniques. Advances in Meshfree Techniques 257 282 .
Robert Vertnik & Božidar Šarler. (2006) Meshless local radial basis function collocation method for convective‐diffusive solid‐liquid phase change problems. International Journal of Numerical Methods for Heat & Fluid Flow 16:5, pages 617-640.
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Božidar Šarler & Robert Vertnik. (2006) Mesh-Free Simulation of Transport Phenomena in Continuous Castings of Aluminium Alloys. Materials Science Forum 508, pages 497-502.
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