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Section B

Application of He's homotopy perturbation and He's variational iteration methods for solution of Benney–Lin equation

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Pages 1872-1884 | Received 12 Mar 2008, Accepted 26 Sep 2008, Published online: 09 Jul 2009

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Yong-Gang Wang, Wen-Hui Lin & Ning Liu. (2012) A Homotopy Perturbation-Based Method for Large Deflection of a Cantilever Beam Under a Terminal Follower Force. International Journal for Computational Methods in Engineering Science and Mechanics 13:3, pages 197-201.
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Articles from other publishers (7)

Kang-Jia Wang & Jian-Fang Wang. (2022) Generalized variational principles of the Benney-Lin equation arising in fluid dynamics. Europhysics Letters 139:3, pages 33006.
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M.H. Heydari & M. Razzaghi. (2022) Jacobi spectral method for variable-order fractional Benney–Lin equation arising in falling film problems. Journal of Computational and Applied Mathematics 402, pages 113813.
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Wei Gao, Pundikala Veeresha, Doddabhadrappla Gowda Prakasha & Haci Mehmet Baskonus. (2020) New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques. Numerical Methods for Partial Differential Equations 37:1, pages 210-243.
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Hira Tariq & Ghazala Akram. (2016) Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems. Journal of Applied Mathematics and Computing 55:1-2, pages 683-708.
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A. Khavaji, D.D. Ganji, N. Roshan, R. Moheimani, M. Hatami & A. Hasanpour. (2012) Slope variation effect on large deflection of compliant beam using analytical approach. Structural Engineering and Mechanics 44:3, pages 405-416.
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Mehdi Safari. (2011) Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation. Applied Mathematics 02:09, pages 1091-1095.
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Mehdi Safari & Majid Safari. (2011) Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method. American Journal of Computational Mathematics 01:04, pages 235-239.
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