Abstract
In this paper, a numerical algorithm based on new homotopy analysis sumudu transform method (HASTM) is proposed to solve a nonlinear boundary value problem arising in the study of thin flow of a third-grade fluid down an inclined plane. The homotopy analysis sumudu transform is a combined form of sumudu transform and homotopy analysis method. The proposed technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The numerical results show that the proposed approach is very efficient and simple and can be applied to other nonlinear problems.
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Sushila, Shishodia, Y. (2014). A Novel Approach for Thin Film Flow Problem Via Homotopy Analysis Sumudu Transform Method. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_32
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DOI: https://doi.org/10.1007/978-81-322-1602-5_32
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