Zhou, Yue; Xu, Hang Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach. (English) Zbl 07733062 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107393, 20 p. (2023). MSC: 65-XX 35-XX 93-XX 34-XX 76-XX PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{H. Xu}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107393, 20 p. (2023; Zbl 07733062) Full Text: DOI
Yuan, Quan; Kang, Houjun; Zhao, Yaobing; Cong, Yunyue; Su, Xiaoyang Parametric resonance of multi-frequency excited MEMS based on homotopy analysis method. (English) Zbl 07733022 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107351, 16 p. (2023). MSC: 74H45 74K10 74F15 PDFBibTeX XMLCite \textit{Q. Yuan} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107351, 16 p. (2023; Zbl 07733022) Full Text: DOI
Li, Yuting; Li, Yong A homotopy gated recurrent unit for predicting high dimensional hyperchaos. (English) Zbl 1504.37086 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106716, 11 p. (2022). MSC: 37M05 37M25 37D45 94C05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Li}, Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106716, 11 p. (2022; Zbl 1504.37086) Full Text: DOI
Yu, Qiang A hierarchical wavelet method for nonlinear bending of materially and geometrically anisotropic thin plate. (English) Zbl 1452.74074 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105498, 20 p. (2021). MSC: 74K20 74G10 74E10 PDFBibTeX XMLCite \textit{Q. Yu}, Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105498, 20 p. (2021; Zbl 1452.74074) Full Text: DOI
Rana, Puneet; Shukla, Nisha; Gupta, Yogesh; Pop, Ioan Homotopy analysis method for predicting multiple solutions in the channel flow with stability analysis. (English) Zbl 1508.76129 Commun. Nonlinear Sci. Numer. Simul. 66, 183-193 (2019). MSC: 76W05 76M99 PDFBibTeX XMLCite \textit{P. Rana} et al., Commun. Nonlinear Sci. Numer. Simul. 66, 183--193 (2019; Zbl 1508.76129) Full Text: DOI
Yang, Zhaochen; Liao, Shijun A HAM-based wavelet approach for nonlinear partial differential equations: two dimensional Bratu problem as an application. (English) Zbl 1510.65311 Commun. Nonlinear Sci. Numer. Simul. 53, 249-262 (2017). MSC: 65N99 65T60 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 53, 249--262 (2017; Zbl 1510.65311) Full Text: DOI
Yang, Zhaochen; Liao, Shijun A HAM-based wavelet approach for nonlinear ordinary differential equations. (English) Zbl 1510.65181 Commun. Nonlinear Sci. Numer. Simul. 48, 439-453 (2017). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 48, 439--453 (2017; Zbl 1510.65181) Full Text: DOI
Curato, Gianbiagio; Gatheral, Jim; Lillo, Fabrizio Discrete homotopy analysis for optimal trading execution with nonlinear transient market impact. (English) Zbl 1510.91182 Commun. Nonlinear Sci. Numer. Simul. 39, 332-342 (2016). MSC: 91G60 65R20 91G80 PDFBibTeX XMLCite \textit{G. Curato} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 332--342 (2016; Zbl 1510.91182) Full Text: DOI
Askari, Amir R.; Tahani, Masoud Stability analysis of electrostatically actuated nano/micro-beams under the effect of van der Waals force, a semi-analytical approach. (English) Zbl 1458.74051 Commun. Nonlinear Sci. Numer. Simul. 34, 130-141 (2016). MSC: 74G60 74K10 74F15 74M25 74G10 PDFBibTeX XMLCite \textit{A. R. Askari} and \textit{M. Tahani}, Commun. Nonlinear Sci. Numer. Simul. 34, 130--141 (2016; Zbl 1458.74051) Full Text: DOI
Zou, Keguan; Nagarajaiah, Satish An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation. (English) Zbl 1329.37051 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 780-792 (2015). MSC: 37G15 PDFBibTeX XMLCite \textit{K. Zou} and \textit{S. Nagarajaiah}, Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 780--792 (2015; Zbl 1329.37051) Full Text: DOI Link
Liang, Songxin; Liu, Sijia An open problem on the optimality of an asymptotic solution to Duffing’s nonlinear oscillation problem. (English) Zbl 1524.34134 Commun. Nonlinear Sci. Numer. Simul. 19, No. 12, 4189-4195 (2014). MSC: 34E05 34C15 34E10 34A45 PDFBibTeX XMLCite \textit{S. Liang} and \textit{S. Liu}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 12, 4189--4195 (2014; Zbl 1524.34134) 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
Mastroberardino, Antonio Comment on “Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with thermal radiation and non-uniform heat source/sink”. (English) Zbl 1457.76199 Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1638-1643 (2014). MSC: 76W05 80A19 PDFBibTeX XMLCite \textit{A. Mastroberardino}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1638--1643 (2014; Zbl 1457.76199) Full Text: DOI
Leung, A. Y. T.; Guo, Zhongjin; Myers, Alan Steady state bifurcation of a periodically excited system under delayed feedback controls. (English) Zbl 1263.93085 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5256-5272 (2012). MSC: 93B52 93C15 93C10 93D99 37N35 PDFBibTeX XMLCite \textit{A. Y. T. Leung} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5256--5272 (2012; Zbl 1263.93085) Full Text: DOI
Chen, Huaxiong; Shen, Jianhe; Zhou, Zheyan On the application of the homotopy analysis method to limit cycles’ approximation in planar self-excited systems. (English) Zbl 1254.34034 Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4494-4507 (2012). Reviewer: Alexander Grin (Grodno) MSC: 34B15 47N20 34A45 PDFBibTeX XMLCite \textit{H. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4494--4507 (2012; Zbl 1254.34034) Full Text: DOI
Raftari, Behrouz; Vajravelu, Kuppalapalle Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall. (English) Zbl 1316.76111 Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4149-4162 (2012). MSC: 76W05 80A20 76Z05 76M25 PDFBibTeX XMLCite \textit{B. Raftari} and \textit{K. Vajravelu}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4149--4162 (2012; Zbl 1316.76111) Full Text: DOI
Turkyilmazoglu, M. Solution of the Thomas-Fermi equation with a convergent approach. (English) Zbl 1316.34020 Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4097-4103 (2012). MSC: 34A45 34B40 34E05 PDFBibTeX XMLCite \textit{M. Turkyilmazoglu}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4097--4103 (2012; Zbl 1316.34020) Full Text: DOI
Shukla, Anant Kant; Ramamohan, T. R.; Srinivas, S. Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator. (English) Zbl 1252.34022 Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3776-3787 (2012). MSC: 34A45 34A12 PDFBibTeX XMLCite \textit{A. K. Shukla} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3776--3787 (2012; Zbl 1252.34022) Full Text: DOI Link
Hassani, A.; Hojjati, M. H.; Farrahi, G. H.; Alashti, R. A. Semi-exact solution for thermo-mechanical analysis of functionally graded elastic-strain hardening rotating disks. (English) Zbl 1351.74016 Commun. Nonlinear Sci. Numer. Simul. 17, No. 9, 3747-3762 (2012). MSC: 74F05 74K20 74S05 74S30 74C99 70E17 PDFBibTeX XMLCite \textit{A. Hassani} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 9, 3747--3762 (2012; Zbl 1351.74016) Full Text: DOI
Srinivasacharya, D.; Kaladhar, K. Mixed convection flow of couple stress fluid between parallel vertical plates with Hall and ion-slip effects. (English) Zbl 1335.76061 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2447-2462 (2012). MSC: 76W05 76M25 PDFBibTeX XMLCite \textit{D. Srinivasacharya} and \textit{K. Kaladhar}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2447--2462 (2012; Zbl 1335.76061) Full Text: DOI
Qian, Y. H.; Ren, D. X.; Lai, S. K.; Chen, S. M. Analytical approximations to nonlinear vibration of an electrostatically actuated microbeam. (English) Zbl 1242.74216 Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1947-1955 (2012). MSC: 74S30 74K10 74F15 74H45 PDFBibTeX XMLCite \textit{Y. H. Qian} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1947--1955 (2012; Zbl 1242.74216) Full Text: DOI
Van Gorder, Robert A. Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method. (English) Zbl 1243.35163 Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1233-1240 (2012). MSC: 35Q92 35L71 35C07 35B65 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1233--1240 (2012; Zbl 1243.35163) Full Text: DOI
Nourbakhsh, S. H.; Zanoosi, A. A. Pasha; Shateri, A. R. Analytical solution for off-centered stagnation flow towards a rotating disc problem by homotopy analysis method with two auxiliary parameters. (English) Zbl 1221.76059 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2772-2787 (2011). MSC: 76D05 PDFBibTeX XMLCite \textit{S. H. Nourbakhsh} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2772--2787 (2011; Zbl 1221.76059) Full Text: DOI
Mastroberardino, Antonio Homotopy analysis method applied to electrohydrodynamic flow. (English) Zbl 1221.76151 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2730-2736 (2011). MSC: 76M25 65L99 76W05 PDFBibTeX XMLCite \textit{A. Mastroberardino}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2730--2736 (2011; Zbl 1221.76151) Full Text: DOI
Nassar, Christopher J.; Revelli, Joseph F.; Bowman, Robert J. Application of the homotopy analysis method to the Poisson-Boltzmann equation for semiconductor devices. (English) Zbl 1221.82139 Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2501-2512 (2011). MSC: 82D37 65L99 PDFBibTeX XMLCite \textit{C. J. Nassar} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2501--2512 (2011; Zbl 1221.82139) Full Text: DOI
Abbasbandy, S.; Shivanian, E. Predictor homotopy analysis method and its application to some nonlinear problems. (English) Zbl 1221.65190 Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2456-2468 (2011). MSC: 65L99 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2456--2468 (2011; Zbl 1221.65190) Full Text: DOI
Khan, M.; Qurrat-Ul-Ain; Sajid, M. Heat transfer analysis of the steady flow of an Oldroyd 8-constant fluid due to a suddenly moved plate. (English) Zbl 1221.76147 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1347-1355 (2011). MSC: 76M25 PDFBibTeX XMLCite \textit{M. Khan} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1347--1355 (2011; Zbl 1221.76147) Full Text: DOI
Liu, Cheng-Shi The essence of the generalized Taylor theorem as the foundation of the homotopy analysis method. (English) Zbl 1221.65207 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1254-1262 (2011). MSC: 65L99 PDFBibTeX XMLCite \textit{C.-S. Liu}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1254--1262 (2011; Zbl 1221.65207) Full Text: DOI
Zheng, Liancun; Wang, Lijuan; Zhang, Xinxin Analytic solutions of unsteady boundary flow and heat transfer on a permeable stretching sheet with non-uniform heat source/sink. (English) Zbl 1221.76162 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 731-740 (2011). MSC: 76M25 76D10 PDFBibTeX XMLCite \textit{L. Zheng} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 731--740 (2011; Zbl 1221.76162) Full Text: DOI
Sweet, Erik; Vajravelu, K.; Van Gorder, Robert A.; Pop, I. Analytical solution for the unsteady MHD flow of a viscous fluid between moving parallel plates. (English) Zbl 1221.76248 Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 266-273 (2011). MSC: 76W05 PDFBibTeX XMLCite \textit{E. Sweet} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 266--273 (2011; Zbl 1221.76248) Full Text: DOI
Abbasbandy, S.; Shirzadi, A. A new application of the homotopy analysis method: solving the Sturm-Liouville problems. (English) Zbl 1221.65189 Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 112-126 (2011). MSC: 65L99 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{A. Shirzadi}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 112--126 (2011; Zbl 1221.65189) Full Text: DOI
Lin, Zhiliang; Liao, Shijun The scaled boundary FEM for nonlinear problems. (English) Zbl 1221.65305 Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 63-75 (2011). MSC: 65N30 65N99 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 63--75 (2011; Zbl 1221.65305) Full Text: DOI
Abbasbandy, S.; Shivanian, E.; Vajravelu, K. Mathematical properties of \(\hbar\)-curve in the frame work of the homotopy analysis method. (English) Zbl 1222.65060 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4268-4275 (2011). MSC: 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4268--4275 (2011; Zbl 1222.65060) Full Text: DOI
Elsaid, A. Homotopy analysis method for solving a class of fractional partial differential equations. (English) Zbl 1222.65109 Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3655-3664 (2011). MSC: 65M70 35L45 35R11 65M12 PDFBibTeX XMLCite \textit{A. Elsaid}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3655--3664 (2011; Zbl 1222.65109) Full Text: DOI
Röst, Gergely On an approximate method for the delay logistic equation. (English) Zbl 1220.65103 Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3470-3474 (2011). MSC: 65L12 PDFBibTeX XMLCite \textit{G. Röst}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3470--3474 (2011; Zbl 1220.65103) Full Text: DOI
Abbasbandy, S.; Hayat, T. On series solution for unsteady boundary layer equations in a special third grade fluid. (English) Zbl 1419.76151 Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3140-3146 (2011). MSC: 76D10 76A05 76M45 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{T. Hayat}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3140--3146 (2011; Zbl 1419.76151) Full Text: DOI
Abbasbandy, S.; Shivanian, E. Prediction of multiplicity of solutions of nonlinear boundary value problems: novel application of homotopy analysis method. (English) Zbl 1222.65081 Commun. Nonlinear Sci. Numer. Simul. 15, No. 12, 3830-3846 (2010). MSC: 65L99 34B15 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 12, 3830--3846 (2010; Zbl 1222.65081) Full Text: DOI
Wang, Chun; Niu, Zhao Reply to “Comments on ‘A one-step optimal homotopy analysis method for nonlinear differential equations”’. (English) Zbl 1222.65093 Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3740-3743 (2010). MSC: 65L99 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Z. Niu}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3740--3743 (2010; Zbl 1222.65093) Full Text: DOI
Marinca, V.; Herişanu, N. Comments on “A one-step optimal homotopy analysis method for nonlinear differential equations”. (English) Zbl 1222.65089 Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3735-3739 (2010). MSC: 65L99 PDFBibTeX XMLCite \textit{V. Marinca} and \textit{N. Herişanu}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3735--3739 (2010; Zbl 1222.65089) Full Text: DOI
Qian, Youhua; Chen, Shengmin Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method. (English) Zbl 1222.65092 Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 3113-3130 (2010). MSC: 65L99 PDFBibTeX XMLCite \textit{Y. Qian} and \textit{S. Chen}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 3113--3130 (2010; Zbl 1222.65092) Full Text: DOI
Shidfar, A.; Molabahrami, A. A weighted algorithm based on the homotopy analysis method: application to inverse heat conduction problems. (English) Zbl 1222.65105 Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2908-2915 (2010). MSC: 65M32 PDFBibTeX XMLCite \textit{A. Shidfar} and \textit{A. Molabahrami}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2908--2915 (2010; Zbl 1222.65105) Full Text: DOI
Esmaeilpour, M.; Domairry, G.; Sadoughi, N.; Davodi, A. G. Homotopy analysis method for the heat transfer of a non-Newtonian fluid flow in an axisymmetric channel with a porous wall. (English) Zbl 1222.76073 Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2424-2430 (2010). MSC: 76M25 65L99 76S05 80M25 PDFBibTeX XMLCite \textit{M. Esmaeilpour} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2424--2430 (2010; Zbl 1222.76073) Full Text: DOI
Motsa, S. S.; Sibanda, P.; Shateyi, S. A new spectral-homotopy analysis method for solving a nonlinear second order BVP. (English) Zbl 1222.65090 Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2293-2302 (2010). MSC: 65L99 PDFBibTeX XMLCite \textit{S. S. Motsa} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2293--2302 (2010; Zbl 1222.65090) Full Text: DOI
Srinivas, S.; Muthuraj, R. Effects of thermal radiation and space porosity on MHD mixed convection flow in a vertical channel using homotopy analysis method. (English) Zbl 1222.76081 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2098-2108 (2010). MSC: 76M25 76W05 35Q35 65L99 PDFBibTeX XMLCite \textit{S. Srinivas} and \textit{R. Muthuraj}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2098--2108 (2010; Zbl 1222.76081) Full Text: DOI
Niu, Zhao; Wang, Chun A one-step optimal homotopy analysis method for nonlinear differential equations. (English) Zbl 1222.65091 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2026-2036 (2010). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{Z. Niu} and \textit{C. Wang}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2026--2036 (2010; Zbl 1222.65091) Full Text: DOI
Chen, Y. M.; Liu, J. K.; Meng, G. Relationship between the homotopy analysis method and harmonic balance method. (English) Zbl 1222.65083 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2017-2025 (2010). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{Y. M. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2017--2025 (2010; Zbl 1222.65083) 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
Alomari, A. K.; Noorani, M. S. M.; Nazar, R.; Li, C. P. Homotopy analysis method for solving fractional Lorenz system. (English) Zbl 1222.65082 Commun. Nonlinear Sci. Numer. Simul. 15, No. 7, 1864-1872 (2010). MSC: 65L99 37D45 34A08 PDFBibTeX XMLCite \textit{A. K. Alomari} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 7, 1864--1872 (2010; Zbl 1222.65082) Full Text: DOI
Sohouli, A. R.; Famouri, M.; Kimiaeifar, A.; Domairry, G. Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed surface heat flux. (English) Zbl 1222.76080 Commun. Nonlinear Sci. Numer. Simul. 15, No. 7, 1691-1699 (2010). MSC: 76M25 76S05 65N99 PDFBibTeX XMLCite \textit{A. R. Sohouli} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 7, 1691--1699 (2010; Zbl 1222.76080) Full Text: DOI
Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K. Nano boundary layers over stretching surfaces. (English) Zbl 1221.76024 Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1494-1500 (2010). MSC: 76A05 34E13 65L99 PDFBibTeX XMLCite \textit{R. A. Van Gorder} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1494--1500 (2010; Zbl 1221.76024) Full Text: DOI
Liao, Shijun On the relationship between the homotopy analysis method and Euler transform. (English) Zbl 1221.65206 Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1421-1431 (2010). MSC: 65L99 34E10 34A45 41A58 40G05 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1421--1431 (2010; Zbl 1221.65206) Full Text: DOI
Cheng, Jun; Zhu, Song-Ping; Liao, Shi-Jun An explicit series approximation to the optimal exercise boundary of American put options. (English) Zbl 1221.91053 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1148-1158 (2010). MSC: 91G60 65M99 91G20 PDFBibTeX XMLCite \textit{J. Cheng} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1148--1158 (2010; Zbl 1221.91053) Full Text: DOI
Kargarnovin, M. H.; Faghidian, S. A.; Farjami, Y.; Farrahi, G. H. Application of homotopy-Padé technique in limit analysis of circular plates under arbitrary rotational symmetric loading using von-Mises yield criterion. (English) Zbl 1221.74052 Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 1080-1091 (2010). MSC: 74K20 65L99 74H15 PDFBibTeX XMLCite \textit{M. H. Kargarnovin} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 1080--1091 (2010; Zbl 1221.74052) Full Text: DOI
Hayat, T.; Naz, Rahila; Sajid, M. On the homotopy solution for Poiseuille flow of a fourth grade fluid. (English) Zbl 1221.76033 Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 581-589 (2010). MSC: 76A10 35C05 35Q35 76S05 PDFBibTeX XMLCite \textit{T. Hayat} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 581--589 (2010; Zbl 1221.76033) Full Text: DOI
Shidfar, A.; Molabahrami, A.; Babaei, A.; Yazdanian, A. A series solution of the nonlinear Volterra and Fredholm integro-differential equations. (English) Zbl 1221.65343 Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 205-215 (2010). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{A. Shidfar} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 205--215 (2010; Zbl 1221.65343) Full Text: DOI
Khan, Hina; Liao, Shi-Jun; Mohapatra, R. N.; Vajravelu, K. An analytical solution for a nonlinear time-delay model in biology. (English) Zbl 1221.65204 Commun. Nonlinear Sci. Numer. Simul. 14, No. 7, 3141-3148 (2009). MSC: 65L99 37N25 PDFBibTeX XMLCite \textit{H. Khan} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 7, 3141--3148 (2009; Zbl 1221.65204) Full Text: DOI
Bararnia, H.; Ghotbi, Abdoul R.; Domairry, G. On the analytical solution for MHD natural convection flow and heat generation fluid in porous medium. (English) Zbl 1221.76138 Commun. Nonlinear Sci. Numer. Simul. 14, No. 6, 2689-2701 (2009). MSC: 76M25 76W05 76S05 PDFBibTeX XMLCite \textit{H. Bararnia} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 6, 2689--2701 (2009; Zbl 1221.76138) Full Text: DOI
Alomari, A. K.; Noorani, M. S. M.; Nazar, R. Adaptation of homotopy analysis method for the numeric-analytic solution of Chen system. (English) Zbl 1221.65192 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2336-2346 (2009). MSC: 65L99 37N30 PDFBibTeX XMLCite \textit{A. K. Alomari} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2336--2346 (2009; Zbl 1221.65192) Full Text: DOI
Ghotbi, Abdoul R.; Bararnia, H.; Domairry, G.; Barari, A. Investigation of a powerful analytical method into natural convection boundary layer flow. (English) Zbl 1221.76145 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2222-2228 (2009). MSC: 76M25 76E06 PDFBibTeX XMLCite \textit{A. R. Ghotbi} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2222--2228 (2009; Zbl 1221.76145) 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
Nadeem, S.; Ali, M. Analytical solutions for pipe flow of a fourth grade fluid with Reynold and Vogel’s models of viscosities. (English) Zbl 1221.76020 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2073-2090 (2009). MSC: 76A05 PDFBibTeX XMLCite \textit{S. Nadeem} and \textit{M. Ali}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2073--2090 (2009; Zbl 1221.76020) Full Text: DOI
Jafari, H.; Seifi, S. Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. (English) Zbl 1221.65278 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2006-2012 (2009). MSC: 65M99 35G15 PDFBibTeX XMLCite \textit{H. Jafari} and \textit{S. Seifi}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2006--2012 (2009; Zbl 1221.65278) Full Text: DOI
Babolian, E.; Saeidian, J. Analytic approximate solutions to Burgers, Fisher, Huxley equations and two combined forms of these equations. (English) Zbl 1221.65271 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1984-1992 (2009). MSC: 65M99 35Q53 35A35 PDFBibTeX XMLCite \textit{E. Babolian} and \textit{J. Saeidian}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1984--1992 (2009; Zbl 1221.65271) Full Text: DOI
Xu, Hang Analytical approximations for a population growth model with fractional order. (English) Zbl 1221.65210 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1978-1983 (2009). MSC: 65L99 34A08 92D25 PDFBibTeX XMLCite \textit{H. Xu}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1978--1983 (2009; Zbl 1221.65210) Full Text: DOI
Jafari, H.; Seifi, S. Solving a system of nonlinear fractional partial differential equations using homotopy analysis method. (English) Zbl 1221.35439 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1962-1969 (2009). MSC: 35R11 26A33 35G10 35G15 PDFBibTeX XMLCite \textit{H. Jafari} and \textit{S. Seifi}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1962--1969 (2009; Zbl 1221.35439) Full Text: DOI
Chen, Y. M.; Liu, J. K. A study of homotopy analysis method for limit cycle of van der Pol equation. (English) Zbl 1221.65198 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1816-1821 (2009). MSC: 65L99 34C15 PDFBibTeX XMLCite \textit{Y. M. Chen} and \textit{J. K. Liu}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1816--1821 (2009; Zbl 1221.65198) Full Text: DOI
Alizadeh-Pahlavan, Amir; Sadeghy, Kayvan On the use of homotopy analysis method for solving unsteady MHD flow of Maxwellian fluids above impulsively stretching sheets. (English) Zbl 1221.76213 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1355-1365 (2009). MSC: 76W05 76A05 PDFBibTeX XMLCite \textit{A. Alizadeh-Pahlavan} and \textit{K. Sadeghy}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1355--1365 (2009; Zbl 1221.76213) Full Text: DOI
Alomari, A. K.; Noorani, M. S. M.; Nazar, R. Explicit series solutions of some linear and nonlinear Schrödinger equations via the homotopy analysis method. (English) Zbl 1221.35389 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1196-1207 (2009). MSC: 35Q55 35C10 35J10 65M99 PDFBibTeX XMLCite \textit{A. K. Alomari} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1196--1207 (2009; Zbl 1221.35389) Full Text: DOI
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I. Homotopy analysis method for singular IVPs of Emden-Fowler type. (English) Zbl 1221.65197 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1121-1131 (2009). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{A. S. Bataineh} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1121--1131 (2009; Zbl 1221.65197) Full Text: DOI
Liao, Shijun Notes on the homotopy analysis method: some definitions and theorems. (English) Zbl 1221.65126 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 983-997 (2009). MSC: 65H99 35A25 35C10 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 983--997 (2009; Zbl 1221.65126) Full Text: DOI
Hashim, I.; Abdulaziz, O.; Momani, S. Homotopy analysis method for fractional IVPs. (English) Zbl 1221.65277 Commun. Nonlinear Sci. Numer. Simul. 14, No. 3, 674-684 (2009). MSC: 65M99 45A05 PDFBibTeX XMLCite \textit{I. Hashim} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 3, 674--684 (2009; Zbl 1221.65277) Full Text: DOI
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I. Modified homotopy analysis method for solving systems of second-order BVPs. (English) Zbl 1221.65196 Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 430-442 (2009). MSC: 65L99 PDFBibTeX XMLCite \textit{A. S. Bataineh} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 430--442 (2009; Zbl 1221.65196) Full Text: DOI
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I. On a new reliable modification of homotopy analysis method. (English) Zbl 1221.65195 Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 409-423 (2009). MSC: 65L99 PDFBibTeX XMLCite \textit{A. S. Bataineh} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 409--423 (2009; Zbl 1221.65195) Full Text: DOI
Chowdhury, M. S. H.; Hashim, I.; Abdulaziz, O. Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems. (English) Zbl 1221.80021 Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 371-378 (2009). MSC: 80M25 65L99 PDFBibTeX XMLCite \textit{M. S. H. Chowdhury} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 371--378 (2009; Zbl 1221.80021) Full Text: DOI
Ran, X. J.; Zhu, Q. Y.; Li, Y. An explicit series solution of the squeezing flow between two infinite plates by means of the homotopy analysis method. (English) Zbl 1221.76158 Commun. Nonlinear Sci. Numer. Simul. 14, No. 1, 119-132 (2009). MSC: 76M25 76D99 PDFBibTeX XMLCite \textit{X. J. Ran} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 1, 119--132 (2009; Zbl 1221.76158) Full Text: DOI
Domairry, G.; Mohsenzadeh, A.; Famouri, M. The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery-Hamel flow. (English) Zbl 1221.76056 Commun. Nonlinear Sci. Numer. Simul. 14, No. 1, 85-95 (2009). MSC: 76D05 76M25 PDFBibTeX XMLCite \textit{G. Domairry} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 1, 85--95 (2009; Zbl 1221.76056) Full Text: DOI
Abbasbandy, S.; Babolian, E.; Ashtiani, M. Numerical solution of the generalized Zakharov equation by homotopy analysis method. (English) Zbl 1221.65269 Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4114-4121 (2009). MSC: 65M99 35Q55 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4114--4121 (2009; Zbl 1221.65269) Full Text: DOI
Van Gorder, Robert A.; Vajravelu, K. On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. (English) Zbl 1221.65208 Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4078-4089 (2009). MSC: 65L99 PDFBibTeX XMLCite \textit{R. A. Van Gorder} and \textit{K. Vajravelu}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4078--4089 (2009; Zbl 1221.65208) Full Text: DOI
Liang, Songxin; Jeffrey, David J. Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. (English) Zbl 1221.65281 Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4057-4064 (2009). MSC: 65M99 PDFBibTeX XMLCite \textit{S. Liang} and \textit{D. J. Jeffrey}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4057--4064 (2009; Zbl 1221.65281) Full Text: DOI
Moghaddam, Majid M.; Ghazizadeh, H. R.; Mansouri, A. Homotopy analysis solution of free convection flow on a horizontal impermeable surface embedded in a saturated porous medium. (English) Zbl 1221.76153 Commun. Nonlinear Sci. Numer. Simul. 14, No. 11, 3833-3843 (2009). MSC: 76M25 76S05 PDFBibTeX XMLCite \textit{M. M. Moghaddam} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 11, 3833--3843 (2009; Zbl 1221.76153) Full Text: DOI
Abbasbandy, S.; Hayat, T. Solution of the MHD Falkner-Skan flow by homotopy analysis method. (English) Zbl 1221.76133 Commun. Nonlinear Sci. Numer. Simul. 14, No. 9-10, 3591-3598 (2009). MSC: 76M25 76W05 76D10 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{T. Hayat}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 9--10, 3591--3598 (2009; Zbl 1221.76133) Full Text: DOI
Abbasbandy, S.; Magyari, E.; Shivanian, E. The homotopy analysis method for multiple solutions of nonlinear boundary value problems. (English) Zbl 1221.65170 Commun. Nonlinear Sci. Numer. Simul. 14, No. 9-10, 3530-3536 (2009). MSC: 65L10 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 9--10, 3530--3536 (2009; Zbl 1221.65170) Full Text: DOI
Khani, F.; Raji, M. Ahmadzadeh; Nejad, H. Hamedi Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. (English) Zbl 1221.74083 Commun. Nonlinear Sci. Numer. Simul. 14, No. 8, 3327-3338 (2009). MSC: 74S30 74F05 PDFBibTeX XMLCite \textit{F. Khani} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 8, 3327--3338 (2009; Zbl 1221.74083) Full Text: DOI
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I. Solving systems of ODEs by homotopy analysis method. (English) Zbl 1221.65194 Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2060-2070 (2008). MSC: 65L99 PDFBibTeX XMLCite \textit{A. S. Bataineh} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2060--2070 (2008; Zbl 1221.65194) Full Text: DOI
Mehmood, Ahmer; Ali, Asif; Shah, Tariq Heat transfer analysis of unsteady boundary layer flow by homotopy analysis method. (English) Zbl 1221.76152 Commun. Nonlinear Sci. Numer. Simul. 13, No. 5, 902-912 (2008). MSC: 76M25 76D10 PDFBibTeX XMLCite \textit{A. Mehmood} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 5, 902--912 (2008; Zbl 1221.76152) Full Text: DOI
Tan, Yue; Abbasbandy, Saeid Homotopy analysis method for quadratic Riccati differential equation. (English) Zbl 1132.34305 Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 539-546 (2008). MSC: 34A45 PDFBibTeX XMLCite \textit{Y. Tan} and \textit{S. Abbasbandy}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 539--546 (2008; Zbl 1132.34305) 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
Hayat, T.; Sajid, M.; Ayub, M. A note on series solution for generalized Couette flow. (English) Zbl 1114.76057 Commun. Nonlinear Sci. Numer. Simul. 12, No. 8, 1481-1487 (2007). MSC: 76M45 76A10 PDFBibTeX XMLCite \textit{T. Hayat} et al., Commun. Nonlinear Sci. Numer. Simul. 12, No. 8, 1481--1487 (2007; Zbl 1114.76057) Full Text: DOI
Hayat, T.; Ellahi, R.; Asghar, S. The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: an analytical solution. (English) Zbl 1102.76003 Commun. Nonlinear Sci. Numer. Simul. 12, No. 3, 300-313 (2007). MSC: 76A05 76M45 80A20 PDFBibTeX XMLCite \textit{T. Hayat} et al., Commun. Nonlinear Sci. Numer. Simul. 12, No. 3, 300--313 (2007; Zbl 1102.76003) 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
Wu, Y. Y.; Liao, S. J.; Zhao, X. Y. Some notes on the general boundary element method for highly nonlinear problems. (English) Zbl 1147.76596 Commun. Nonlinear Sci. Numer. Simul. 10, No. 7, 725-735 (2005). MSC: 76M15 80M15 80A20 PDFBibTeX XMLCite \textit{Y. Y. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 10, No. 7, 725--735 (2005; Zbl 1147.76596) Full Text: DOI
Liao, Shijun General boundary element method: An application of homotopy analysis method. (English) Zbl 0918.65074 Commun. Nonlinear Sci. Numer. Simul. 3, No. 3, 159-163 (1998). MSC: 65N38 35J65 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 3, 159--163 (1998; Zbl 0918.65074) Full Text: DOI
Liao, Shijun On the 8th-order drag coefficient formula of a sphere in a uniform stream: A simplified description. (English) Zbl 0924.35109 Commun. Nonlinear Sci. Numer. Simul. 3, No. 4, 256-260 (1998). MSC: 35Q35 76D05 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 4, 256--260 (1998; Zbl 0924.35109) Full Text: DOI
He, Jihuan Newton-like iteration method for solving algebraic equations. (English) Zbl 0918.65034 Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 106-109 (1998). MSC: 65H05 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{J. He}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 106--109 (1998; Zbl 0918.65034) Full Text: DOI
He, Jihuan An approximate solution technique depending on an artificial parameter: A special example. (English) Zbl 0921.35009 Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 92-97 (1998). MSC: 35B20 35G20 47J25 PDFBibTeX XMLCite \textit{J. He}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 92--97 (1998; Zbl 0921.35009) Full Text: DOI
Liao, Shi-Jun An explicit, totally analytic solution of laminar viscous flow over a semi-infinite flat plate. (English) Zbl 0922.34012 Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 53-57 (1998). MSC: 34B05 76M35 76D33 35Q35 34A05 PDFBibTeX XMLCite \textit{S.-J. Liao}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 53--57 (1998; Zbl 0922.34012) Full Text: DOI
Liao, Shijun Homotopy analysis method: A new analytical technique for nonlinear problems. (English) Zbl 0927.65069 Commun. Nonlinear Sci. Numer. Simul. 2, No. 2, electronic paper No. 8 (1997). MSC: 65H20 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 2, No. 2, electronic paper No. 8 (1997; Zbl 0927.65069) 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