Liao, Shijun Avoiding small denominator problems by means of the homotopy analysis method. (English) Zbl 1524.65301 Adv. Appl. Math. Mech. 15, No. 2, 267-299 (2023). MSC: 65L99 34A25 34C25 41A58 PDFBibTeX XMLCite \textit{S. Liao}, Adv. Appl. Math. Mech. 15, No. 2, 267--299 (2023; Zbl 1524.65301) Full Text: DOI arXiv
Farooq, U.; Zhao, Y. L.; Hayat, T.; Alsaedi, A.; Liao, S. J. Application of the HAM-based Mathematica package BVPh 2.0 on MHD Falkner-Skan flow of nano-fluid. (English) Zbl 1410.76473 Comput. Fluids 111, 69-75 (2015). MSC: 76W05 76M25 76D10 80A20 PDFBibTeX XMLCite \textit{U. Farooq} et al., Comput. Fluids 111, 69--75 (2015; Zbl 1410.76473) Full Text: DOI
Farooq, U.; Hayat, T.; Alsaedi, A.; Liao, S. J. Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces. (English) Zbl 1329.76256 Numer. Algorithms 70, No. 1, 43-59 (2015). MSC: 76M25 76D10 76T20 PDFBibTeX XMLCite \textit{U. Farooq} et al., Numer. Algorithms 70, No. 1, 43--59 (2015; Zbl 1329.76256) Full Text: DOI
Liao, Shijun Do peaked solitary water waves indeed exist? (English) Zbl 1457.35057 Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1792-1821 (2014). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1792--1821 (2014; Zbl 1457.35057) Full Text: DOI arXiv
Liu, Yinping; Liao, Shijun; Li, Zhibin A Maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations. (English) Zbl 1255.93054 J. Syst. Sci. Complex. 25, No. 3, 594-616 (2012). MSC: 93B40 93C15 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Syst. Sci. Complex. 25, No. 3, 594--616 (2012; Zbl 1255.93054) Full Text: DOI
Kousar, Nabeela; Liao, Shijun Unsteady non-similarity boundary-layer flows caused by an impulsively stretching flat sheet. (English) Zbl 1206.35208 Nonlinear Anal., Real World Appl. 12, No. 1, 333-342 (2011). MSC: 35Q35 35C20 76D10 35B30 PDFBibTeX XMLCite \textit{N. Kousar} and \textit{S. Liao}, Nonlinear Anal., Real World Appl. 12, No. 1, 333--342 (2011; Zbl 1206.35208) Full Text: DOI
Li, Yajie; Nohara, Ben T.; Liao, Shijun Series solutions of coupled Van der Pol equation by means of homotopy analysis method. (English) Zbl 1311.70031 J. Math. Phys. 51, No. 6, 063517, 12 p. (2010). MSC: 70K30 70K40 34C15 65H20 34C25 78A55 37N05 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Math. Phys. 51, No. 6, 063517, 12 p. (2010; Zbl 1311.70031) Full Text: DOI Link
Liu, Zeng; Oberlack, Martin; Grebenev, Vladimir N.; Liao, Shi-Jun Explicit series solution of a closure model for the von Kármán-Howarth equation. (English) Zbl 1235.34065 ANZIAM J. 52, No. 2, 179-202 (2010). Reviewer: Zhanbing Bai (Qingdao) MSC: 34B15 34A05 34A45 34A25 PDFBibTeX XMLCite \textit{Z. Liu} et al., ANZIAM J. 52, No. 2, 179--202 (2010; Zbl 1235.34065) Full Text: DOI
Liao, Shijun An optimal homotopy-analysis approach for strongly nonlinear differential equations. (English) Zbl 1222.65088 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2003-2016 (2010). MSC: 65L99 34A25 34A45 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2003--2016 (2010; Zbl 1222.65088) Full Text: DOI
Liao, Shi-Jun A general approach to get series solution of non-similarity boundary-layer flows. (English) Zbl 1221.76068 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2144-2159 (2009). MSC: 76D10 PDFBibTeX XMLCite \textit{S.-J. Liao}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2144--2159 (2009; Zbl 1221.76068) Full Text: DOI
Xu, Hang; Liao, Shi-Jun Dual solutions of boundary layer flow over an upstream moving plate. (English) Zbl 1131.35066 Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 350-358 (2008). MSC: 35Q35 76D10 PDFBibTeX XMLCite \textit{H. Xu} and \textit{S.-J. Liao}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 350--358 (2008; Zbl 1131.35066) Full Text: DOI
Liao, Shi-Jun A new branch of solutions of boundary-layer flows over a permeable stretching plate. (English) Zbl 1200.76046 Int. J. Non-Linear Mech. 42, No. 6, 819-830 (2007). MSC: 76D10 PDFBibTeX XMLCite \textit{S.-J. Liao}, Int. J. Non-Linear Mech. 42, No. 6, 819--830 (2007; Zbl 1200.76046) Full Text: DOI
Xu, Hang; Liao, Shijun; Pop, Ioan Series solutions of unsteady three-dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate. (English) Zbl 1105.76061 Eur. J. Mech., B, Fluids 26, No. 1, 15-27 (2007). MSC: 76W05 76D10 76M45 80A20 PDFBibTeX XMLCite \textit{H. Xu} et al., Eur. J. Mech., B, Fluids 26, No. 1, 15--27 (2007; Zbl 1105.76061) Full Text: DOI
Xu, Hang; Liao, Shi-Jun Series solutions of unsteady MHD flows above a rotating disk. (English) Zbl 1163.76452 Meccanica 41, No. 6, 599-609 (2006). MSC: 76W05 76U05 PDFBibTeX XMLCite \textit{H. Xu} and \textit{S.-J. Liao}, Meccanica 41, No. 6, 599--609 (2006; Zbl 1163.76452) Full Text: DOI
Yang, Cheng; Liao, Shijun On the explicit, purely analytic solution of von Kármán swirling viscous flow. (English) Zbl 1075.35059 Commun. Nonlinear Sci. Numer. Simul. 11, No. 1, 83-93 (2006). MSC: 35Q35 76D17 35C05 76U05 PDFBibTeX XMLCite \textit{C. Yang} and \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 1, 83--93 (2006; Zbl 1075.35059) Full Text: DOI
Liao, Shijun A new branch of solutions of boundary-layer flows over an impermeable stretched plate. (English) Zbl 1189.76142 Int. J. Heat Mass Transfer 48, No. 12, 2529-2539 (2005). MSC: 76D10 76M55 PDFBibTeX XMLCite \textit{S. Liao}, Int. J. Heat Mass Transfer 48, No. 12, 2529--2539 (2005; Zbl 1189.76142) Full Text: DOI
Liao, Shijun; Pop, Ioan Explicit analytic solution for similarity boundary layer equations. (English) Zbl 1045.76008 Int. J. Heat Mass Transfer 47, No. 1, 75-85 (2004). MSC: 76D10 76M55 76S05 PDFBibTeX XMLCite \textit{S. Liao} and \textit{I. Pop}, Int. J. Heat Mass Transfer 47, No. 1, 75--85 (2004; Zbl 1045.76008) Full Text: DOI
Liao, Shijun On the homotopy analysis method for nonlinear problems. (English) Zbl 1086.35005 Appl. Math. Comput. 147, No. 2, 499-513 (2004). MSC: 35A25 76M25 76D10 PDFBibTeX XMLCite \textit{S. Liao}, Appl. Math. Comput. 147, No. 2, 499--513 (2004; Zbl 1086.35005) Full Text: DOI
Liao, Shijun; Campo, Antonio Analytic solutions of the temperature distribution in Blasius viscous flow problems. (English) Zbl 1007.76014 J. Fluid Mech. 453, 411-425 (2002). MSC: 76D10 76M25 80A20 68W30 PDFBibTeX XMLCite \textit{S. Liao} and \textit{A. Campo}, J. Fluid Mech. 453, 411--425 (2002; Zbl 1007.76014) Full Text: DOI
Liao, Shijun A non-iterative numerical approach for two-dimensional viscous flow problems governed by the Falkner-Skan equation. (English) Zbl 0990.76068 Int. J. Numer. Methods Fluids 35, No. 5, 495-518 (2001). MSC: 76M25 76D10 PDFBibTeX XMLCite \textit{S. Liao}, Int. J. Numer. Methods Fluids 35, No. 5, 495--518 (2001; Zbl 0990.76068) Full Text: DOI
Liao, Shijun A simple approach of enlarging convergence regions of perturbation approximations. (English) Zbl 0949.70003 Nonlinear Dyn. 19, No. 2, 93-110 (1999). MSC: 70-08 70K60 34A25 65B10 PDFBibTeX XMLCite \textit{S. Liao}, Nonlinear Dyn. 19, No. 2, 93--110 (1999; Zbl 0949.70003) Full Text: DOI
Liao, Shijun A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate. (English) Zbl 0931.76017 J. Fluid Mech. 385, 101-128 (1999). MSC: 76D10 76M45 PDFBibTeX XMLCite \textit{S. Liao}, J. Fluid Mech. 385, 101--128 (1999; Zbl 0931.76017) Full Text: DOI
Liao, Shijun Numerically solving strongly nonlinear problems by means of no iterations. (English) Zbl 0916.76057 J. Hydrodyn., Ser. B 10, No. 1, 102-108 (1998). MSC: 76M25 76D10 PDFBibTeX XMLCite \textit{S. Liao}, J. Hydrodyn., Ser. B 10, No. 1, 102--108 (1998; Zbl 0916.76057)
Liao, S. J.; Chwang, Allen T. General boundary element method for nonlinear problems. (English) Zbl 0863.76037 Int. J. Numer. Methods Fluids 23, No. 5, 467-483 (1996). MSC: 76M15 76D10 PDFBibTeX XMLCite \textit{S. J. Liao} and \textit{A. T. Chwang}, Int. J. Numer. Methods Fluids 23, No. 5, 467--483 (1996; Zbl 0863.76037) Full Text: DOI
Liao, Shijun What’s the common ground of all numerical and analytical techniques for nonlinear problems? (English) Zbl 0924.65047 Commun. Nonlinear Sci. Numer. Simul. 1, No. 4, electronic paper No. 6 (1996). MSC: 65J05 47J25 65H20 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 1, No. 4, electronic paper No. 6 (1996; Zbl 0924.65047) Full Text: DOI