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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 45, 2004 - Issue 4
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Original Articles

HIGHER-ORDER METHOD FOR SOLVING FREE BOUNDARY-VALUE PROBLEMS

Pages 385-394 | Received 01 Jun 2003, Accepted 01 Oct 2003, Published online: 17 Aug 2010

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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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A. A. Salama & A. A. Mansour. (2005) FOURTH-ORDER FINITE-DIFFERENCE METHOD FOR THIRD-ORDER BOUNDARY-VALUE PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 47:4, pages 383-401.
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Articles from other publishers (23)

Z. Hajimohammadi, F. Baharifard & K. Parand. (2020) A new numerical learning approach to solve general Falkner–Skan model. Engineering with Computers 38:S1, pages 121-137.
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Imran Khan, Hakeem Ullah, Hussain AlSalman, Mehreen Fiza, Saeed Islam, Asif Zahoor Raja, Mohammad Shoaib & Abdu H. Gumaei. (2021) Falkner–Skan Equation with Heat Transfer: A New Stochastic Numerical Approach. Mathematical Problems in Engineering 2021, pages 1-17.
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Asai Asaithambi. (2021) On Solving the Nonlinear Falkner–Skan Boundary-Value Problem: A Review. Fluids 6:4, pages 153.
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Basem Attili. 2021. New Sinc Methods of Numerical Analysis. New Sinc Methods of Numerical Analysis 147 162 .
Basem Attili. (2020) Numerical solution of a third-order Falkner–Skan-like equation arising in boundary layer theory. Chaos: An Interdisciplinary Journal of Nonlinear Science 30:7.
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Helmi Temimi & Mohamed Ben-Romdhane. (2018) Numerical Solution of Falkner-Skan Equation by Iterative Transformation Method. Mathematical Modelling and Analysis 23:1, pages 139-151.
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Iftikhar Ahmad, Siraj-ul-Islam Ahmad, Muhammad Bilal & Nabeela Anwar. (2016) Stochastic numerical treatment for solving Falkner–Skan equations using feedforward neural networks. Neural Computing and Applications 28:S1, pages 1131-1144.
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Asai Asaithambi. (2017) A series solution of the Falkner–Skan equation using the crocco–wang transformation. International Journal of Modern Physics C 28:11, pages 1750139.
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Jiancheng Hu. (2016) A numerical solution of a singular boundary value problem arising in boundary layer theory. SpringerPlus 5:1.
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Okey Oseloka Onyejekwe. (2016) Incompressible Flow and Heat Transfer over a Plate: A Hybrid Integral Domain-Discretized Numerical Procedure. Applied Mathematics 07:13, pages 1426-1439.
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Ding Xu, Jinglei Xu & Gongnan Xie. (2014) Revisiting Blasius Flow by Fixed Point Method. Abstract and Applied Analysis 2014, pages 1-9.
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Ding Xu & Xin Guo. (2013) Application of fixed point method to obtain semi-analytical solution to Blasius flow and its variation. Applied Mathematics and Computation 224, pages 791-802.
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H. Ullah, S. Islam, M. Idrees & M. Arif. (2013) Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method. Abstract and Applied Analysis 2013, pages 1-10.
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F. Auteri & L. Quartapelle. (2015) Galerkin-Laguerre Spectral Solution of Self-Similar Boundary Layer Problems. Communications in Computational Physics 12:5, pages 1329-1358.
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Mehdi Dehghan, Mehdi Tatari & Asma Azizi. (2011) The solution of the Falkner‐Skan equation arising in the modelling of boundary‐layer problems via variational iteration method. International Journal of Numerical Methods for Heat & Fluid Flow 21:2, pages 136-149.
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R.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen, S. Garrick, V. Srinivasan, K. Ghosh & R. Mittal. (2010) Heat transfer—A review of 2004 literature. International Journal of Heat and Mass Transfer 53:21-22, pages 4343-4396.
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Marco Rosales-Vera & Alvaro Valencia. (2010) Solutions of Falkner–Skan equation with heat transfer by Fourier series. International Communications in Heat and Mass Transfer 37:7, pages 761-765.
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Shengfeng Zhu, Qingbiao Wu & Xiaoliang Cheng. (2009) Numerical solution of the Falkner–Skan equation based on quasilinearization. Applied Mathematics and Computation 215:7, pages 2472-2485.
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Jiawei Zhang & Binghe Chen. (2009) An iterative method for solving the Falkner–Skan equation. Applied Mathematics and Computation 210:1, pages 215-222.
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Chein-Shan Liu & Jiang-Ren Chang. (2008) The Lie-group shooting method for multiple-solutions of Falkner–Skan equation under suction–injection conditions. International Journal of Non-Linear Mechanics 43:9, pages 844-851.
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John P. Boyd. (2008) The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems. SIAM Review 50:4, pages 791-804.
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A. A. SALAMA & A. A. MANSOUR. (2011) FINITE-DIFFERENCE METHOD OF ORDER SIX FOR THE TWO-DIMENSIONAL STEADY AND UNSTEADY BOUNDARY-LAYER EQUATIONS. International Journal of Modern Physics C 16:05, pages 757-780.
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Asai Asaithambi. (2005) Solution of the Falkner–Skan equation by recursive evaluation of Taylor coefficients. Journal of Computational and Applied Mathematics 176:1, pages 203-214.
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