Kaur, Navneet; Joshi, Varun Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method. (English) Zbl 07545083 J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022). MSC: 35Q53 35C08 76B25 35A24 35D30 37K10 65D07 65L06 65M15 PDF BibTeX XML Cite \textit{N. Kaur} and \textit{V. Joshi}, J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022; Zbl 07545083) Full Text: DOI OpenURL
Bak, Soyoon A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations. (English) Zbl 1499.65371 Comput. Appl. Math. 41, No. 3, Paper No. 102, 22 p. (2022). MSC: 65M06 35Q53 65M25 PDF BibTeX XML Cite \textit{S. Bak}, Comput. Appl. Math. 41, No. 3, Paper No. 102, 22 p. (2022; Zbl 1499.65371) Full Text: DOI OpenURL
Torabi, Giklou Asadollah; Ranjbar, Mojtaba; Shafiee, Mahmoud; Roomi, Vahid VIM-Padé technique for solving nonlinear and delay initial value problems. (English) Zbl 1490.65138 Comput. Methods Differ. Equ. 9, No. 3, 749-761 (2021). MSC: 65L05 41A21 PDF BibTeX XML Cite \textit{G. A. Torabi} et al., Comput. Methods Differ. Equ. 9, No. 3, 749--761 (2021; Zbl 1490.65138) Full Text: DOI OpenURL
Akinyemi, Lanre; Iyiola, Olaniyi S. A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations. (English) Zbl 1482.35200 Adv. Difference Equ. 2020, Paper No. 169, 27 p. (2020). MSC: 35Q53 35R11 26A33 PDF BibTeX XML Cite \textit{L. Akinyemi} and \textit{O. S. Iyiola}, Adv. Difference Equ. 2020, Paper No. 169, 27 p. (2020; Zbl 1482.35200) Full Text: DOI OpenURL
Kuo, Chun-Ku; Lee, Sen-Yung Novel methods for finding general forms of new multi-soliton solutions to \((1+1)\)-dimensional KdV equation and \((2+1)\)-dimensional Kadomtsev-Petviashvili (KP) equation. (English) Zbl 07583662 Waves Random Complex Media 29, No. 3, 569-579 (2019). MSC: 74-XX 78-XX PDF BibTeX XML Cite \textit{C.-K. Kuo} and \textit{S.-Y. Lee}, Waves Random Complex Media 29, No. 3, 569--579 (2019; Zbl 07583662) Full Text: DOI OpenURL
Kumar, Sunil; Kumar, Amit; Momani, Shaher; Aldhaifallah, Mujahed; Nisar, Kottakkaran Sooppy Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems. (English) Zbl 1487.65169 Adv. Difference Equ. 2019, Paper No. 413, 19 p. (2019). MSC: 65M99 35R11 65M22 PDF BibTeX XML Cite \textit{S. Kumar} et al., Adv. Difference Equ. 2019, Paper No. 413, 19 p. (2019; Zbl 1487.65169) Full Text: DOI OpenURL
Yagmurlu, Nuri Murat; Karaagac, Berat; Esen, Alaattin A lumped Galerkin finite element method for the generalized Hirota-Satsuma coupled KdV and coupled MKdV equations. (English) Zbl 1434.65284 Tbil. Math. J. 12, No. 3, 159-173 (2019). MSC: 65N30 65D07 65L06 35Q53 PDF BibTeX XML Cite \textit{N. M. Yagmurlu} et al., Tbil. Math. J. 12, No. 3, 159--173 (2019; Zbl 1434.65284) Full Text: DOI Euclid OpenURL
Delkhosh, Mehdi; Parand, Kourosh A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order. (English) Zbl 1438.65247 Comput. Appl. Math. 38, No. 2, Paper No. 76, 31 p. (2019). MSC: 65M70 35K55 35K59 PDF BibTeX XML Cite \textit{M. Delkhosh} and \textit{K. Parand}, Comput. Appl. Math. 38, No. 2, Paper No. 76, 31 p. (2019; Zbl 1438.65247) Full Text: DOI OpenURL
Fiza, Mehreen; Ullah, Hakeem; Islam, Saeed; Shah, Qayum; Chohan, Farkhanda Inayat; Mamat, Mustafa Bin Modifications of the multistep optimal homotopy asymptotic method to some nonlinear KdV-equations. (English) Zbl 1413.35109 Eur. J. Pure Appl. Math. 11, No. 2, 537-552 (2018). MSC: 35C05 35Q53 PDF BibTeX XML Cite \textit{M. Fiza} et al., Eur. J. Pure Appl. Math. 11, No. 2, 537--552 (2018; Zbl 1413.35109) Full Text: Link OpenURL
Gupta, Sumit; Kumar, Devendra; Singh, Jagdev An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves. (English) Zbl 1431.35154 Waves Wavelets Fractals, Adv. Anal. 3, 14-30 (2017). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{S. Gupta} et al., Waves Wavelets Fractals, Adv. Anal. 3, 14--30 (2017; Zbl 1431.35154) Full Text: DOI OpenURL
Curato, Gianbiagio; Gatheral, Jim; Lillo, Fabrizio Discrete homotopy analysis for optimal trading execution with nonlinear transient market impact. (English) Zbl 07249771 Commun. Nonlinear Sci. Numer. Simul. 39, 332-342 (2016). MSC: 91-XX 65-XX PDF BibTeX XML Cite \textit{G. Curato} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 332--342 (2016; Zbl 07249771) Full Text: DOI OpenURL
Mohyud-Din, Syed Tauseef; Ahmed, Naveed; Khan, Umar; Waheed, Asif; Hussain, Saqib; Darus, Maslina On combined effects of heat transfer and chemical reaction for the flow through an asymmetric channel with orthogonally deformable porous walls. (English) Zbl 1400.76097 Math. Probl. Eng. 2016, Article ID 2568785, 10 p. (2016). MSC: 76V05 80A20 76S05 80A32 PDF BibTeX XML Cite \textit{S. T. Mohyud-Din} et al., Math. Probl. Eng. 2016, Article ID 2568785, 10 p. (2016; Zbl 1400.76097) Full Text: DOI OpenURL
Liao, Shijun; Zhao, Yinlong On the method of directly defining inverse mapping for nonlinear differential equations. (English) Zbl 1381.65055 Numer. Algorithms 72, No. 4, 989-1020 (2016). Reviewer: Johannes Schropp (Konstanz) MSC: 65L09 65L10 34A55 34B15 PDF BibTeX XML Cite \textit{S. Liao} and \textit{Y. Zhao}, Numer. Algorithms 72, No. 4, 989--1020 (2016; Zbl 1381.65055) Full Text: DOI arXiv OpenURL
Kang, Jianhong; Xia, Tongqiang; Liu, Yingke Heat transfer and flows of thermal convection in a fluid-saturated rotating porous medium. (English) Zbl 1394.76118 Math. Probl. Eng. 2015, Article ID 905458, 11 p. (2015). MSC: 76R10 80A20 76S05 76U05 PDF BibTeX XML Cite \textit{J. Kang} et al., Math. Probl. Eng. 2015, Article ID 905458, 11 p. (2015; Zbl 1394.76118) Full Text: DOI OpenURL
Babolian, E.; Jalili, M. Application of the homotopy-Padé technique in the prediction of optimal convergence-control parameter. (English) Zbl 1314.65091 Comput. Appl. Math. 34, No. 1, 375-388 (2015). MSC: 65L05 34A34 65L20 34A25 PDF BibTeX XML Cite \textit{E. Babolian} and \textit{M. Jalili}, Comput. Appl. Math. 34, No. 1, 375--388 (2015; Zbl 1314.65091) Full Text: DOI OpenURL
Ismail, M. S.; Ashi, H. A. A numerical solution for Hirota-Satsuma coupled KdV equation. (English) Zbl 1474.65388 Abstr. Appl. Anal. 2014, Article ID 819367, 9 p. (2014). MSC: 65M70 35Q53 65M12 PDF BibTeX XML Cite \textit{M. S. Ismail} and \textit{H. A. Ashi}, Abstr. Appl. Anal. 2014, Article ID 819367, 9 p. (2014; Zbl 1474.65388) Full Text: DOI OpenURL
Sakuma, Takayuki; Yamada, Yuji Application of homotopy analysis method to option pricing under Lévy processes. (English) Zbl 1307.91180 Asia-Pac. Financ. Mark. 21, No. 1, 1-14 (2014). MSC: 91G20 91G80 35A25 34A25 35Q91 35R09 60G51 PDF BibTeX XML Cite \textit{T. Sakuma} and \textit{Y. Yamada}, Asia-Pac. Financ. Mark. 21, No. 1, 1--14 (2014; Zbl 1307.91180) Full Text: DOI Link OpenURL
Zhang, Xindong; Wei, Leilei; Tang, Bo; He, Yinnian Homotopy analysis method for space-time fractional differential equations. (English) Zbl 1357.65228 Int. J. Numer. Methods Heat Fluid Flow 23, No. 6, 1063-1075 (2013). MSC: 65M99 35R11 45K05 PDF BibTeX XML Cite \textit{X. Zhang} et al., Int. J. Numer. Methods Heat Fluid Flow 23, No. 6, 1063--1075 (2013; Zbl 1357.65228) Full Text: DOI OpenURL
Soltanian, F.; Dehghan, Mehdi; Karbassi, S. M. A semi-analytical technique for the solution of differential-algebraic equations and applications in flow of an incompressible viscous fluid. (English) Zbl 1356.76260 Int. J. Numer. Methods Heat Fluid Flow 23, No. 5, 818-843 (2013). MSC: 76M25 76D99 65L80 PDF BibTeX XML Cite \textit{F. Soltanian} et al., Int. J. Numer. Methods Heat Fluid Flow 23, No. 5, 818--843 (2013; Zbl 1356.76260) Full Text: DOI OpenURL
Matinfar, M.; Ghasemi, M. Application of variational iteration method to nonlinear heat transfer equations using He’s polynomials. (English) Zbl 1356.65212 Int. J. Numer. Methods Heat Fluid Flow 23, No. 3, 520-531 (2013). MSC: 65L99 80A20 PDF BibTeX XML Cite \textit{M. Matinfar} and \textit{M. Ghasemi}, Int. J. Numer. Methods Heat Fluid Flow 23, No. 3, 520--531 (2013; Zbl 1356.65212) Full Text: DOI OpenURL
Shaiq, Muhammad Shakil; Iqbal, Zahid; Mohyud-Din, Syed Tauseef Homotopy analysis method for time-fractional wave-like equations. (English) Zbl 1307.65143 Comput. Math. Model. 24, No. 4, 592-603 (2013). MSC: 65M99 35L70 35R11 PDF BibTeX XML Cite \textit{M. S. Shaiq} et al., Comput. Math. Model. 24, No. 4, 592--603 (2013; Zbl 1307.65143) Full Text: DOI OpenURL
Abbasbandy, S.; Jalili, M. Determination of optimal convergence-control parameter value in homotopy analysis method. (English) Zbl 1283.65073 Numer. Algorithms 64, No. 4, 593-605 (2013). MSC: 65L10 34B15 65L20 PDF BibTeX XML Cite \textit{S. Abbasbandy} and \textit{M. Jalili}, Numer. Algorithms 64, No. 4, 593--605 (2013; Zbl 1283.65073) Full Text: DOI OpenURL
Liu, Y. P.; Liao, S. J.; Li, Z. B. Symbolic computation of strongly nonlinear periodic oscillations. (English) Zbl 1325.68292 J. Symb. Comput. 55, 72-95 (2013). MSC: 68W30 65L99 68T15 34C15 PDF BibTeX XML Cite \textit{Y. P. Liu} et al., J. Symb. Comput. 55, 72--95 (2013; Zbl 1325.68292) Full Text: DOI OpenURL
Zedan, Hassan A.; Barakati, W.; Hamad, Nada The application of the homotopy analysis method and the homotopy perturbation method to the Davey-Stewartson equations and comparison between them and exact solutions. (English) Zbl 1266.76044 J. Appl. Math. 2013, Article ID 326473, 12 p. (2013). MSC: 76M99 65H20 PDF BibTeX XML Cite \textit{H. A. Zedan} et al., J. Appl. Math. 2013, Article ID 326473, 12 p. (2013; Zbl 1266.76044) Full Text: DOI OpenURL
Mohyud-Din, Syed Tauseef; Yıldırım, Ahmet; Yülüklü, Eda Homotopy analysis method for space- and time-fractional KdV equation. (English) Zbl 1357.65221 Int. J. Numer. Methods Heat Fluid Flow 22, No. 7, 928-941 (2012). MSC: 65M99 35Q53 35R11 PDF BibTeX XML Cite \textit{S. T. Mohyud-Din} et al., Int. J. Numer. Methods Heat Fluid Flow 22, No. 7, 928--941 (2012; Zbl 1357.65221) Full Text: DOI OpenURL
Hassan, Hany N.; El-Tawil, Magdy A. A new technique of using homotopy analysis method for second order nonlinear differential equations. (English) Zbl 1302.65181 Appl. Math. Comput. 219, No. 2, 708-728 (2012). MSC: 65L99 PDF BibTeX XML Cite \textit{H. N. Hassan} and \textit{M. A. El-Tawil}, Appl. Math. Comput. 219, No. 2, 708--728 (2012; Zbl 1302.65181) Full Text: DOI OpenURL
Cveticanin, L.; Kalami-Yazdi, M.; Askari, H. Analytical approximations to the solutions for a generalized oscillator with strong nonlinear terms. (English) Zbl 1276.34009 J. Eng. Math. 77, 211-223 (2012). MSC: 34A45 34C15 PDF BibTeX XML Cite \textit{L. Cveticanin} et al., J. Eng. Math. 77, 211--223 (2012; Zbl 1276.34009) Full Text: DOI OpenURL
Zhang, Wei; Qian, You Hua; Lai, Siu Kai Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application. (English) Zbl 1307.74070 Acta Mech. 223, No. 12, 2537-2548 (2012). MSC: 74S30 65L99 34A45 74H10 PDF BibTeX XML Cite \textit{W. Zhang} et al., Acta Mech. 223, No. 12, 2537--2548 (2012; Zbl 1307.74070) Full Text: DOI OpenURL
Qian, Youhua; Duan, C. M.; Chen, Shengmin; Chen, S. P. Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method. (English) Zbl 1352.65218 Acta Mech. 223, No. 2, 237-255 (2012). MSC: 65L99 34C15 34A25 34A45 70B10 PDF BibTeX XML Cite \textit{Y. Qian} et al., Acta Mech. 223, No. 2, 237--255 (2012; Zbl 1352.65218) Full Text: DOI OpenURL
Aziz, Zainal Abdul; Nazari, Mojtaba; Salah, Faisal; Ching, Dennis Ling Chuan Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method. (English) Zbl 1264.76074 Math. Probl. Eng. 2012, Article ID 601917, 14 p. (2012). MSC: 76M25 76A05 76S05 76U05 74F10 PDF BibTeX XML Cite \textit{Z. A. Aziz} et al., Math. Probl. Eng. 2012, Article ID 601917, 14 p. (2012; Zbl 1264.76074) Full Text: DOI OpenURL
Nazari, Mojtaba; Salah, Faisal; Aziz, Zainal Abdul; Nilashi, Merbakhsh Approximate analytic solution for the KdV and Burger equations with the homotopy analysis method. (English) Zbl 1267.35201 J. Appl. Math. 2012, Article ID 878349, 13 p. (2012). MSC: 35Q53 35C10 35C08 PDF BibTeX XML Cite \textit{M. Nazari} et al., J. Appl. Math. 2012, Article ID 878349, 13 p. (2012; Zbl 1267.35201) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Liu} et al., J. Syst. Sci. Complex. 25, No. 3, 594--616 (2012; Zbl 1255.93054) Full Text: DOI OpenURL
Hayat, T.; Yousaf, Arshia; Mustafa, M.; Obaidat, S. MHD squeezing flow of second-grade fluid between two parallel disks. (English) Zbl 1245.76102 Int. J. Numer. Methods Fluids 69, No. 2, 399-410 (2012). MSC: 76M25 76W05 PDF BibTeX XML Cite \textit{T. Hayat} et al., Int. J. Numer. Methods Fluids 69, No. 2, 399--410 (2012; Zbl 1245.76102) Full Text: DOI OpenURL
Motsa, Sandile Sydney; Shateyi, Stanford; Marewo, Gerald T.; Sibanda, Precious An improved spectral homotopy analysis method for MHD flow in a semi-porous channel. (English) Zbl 1427.76217 Numer. Algorithms 60, No. 3, 463-481 (2012). MSC: 76M99 76W05 76S05 76M22 PDF BibTeX XML Cite \textit{S. S. Motsa} et al., Numer. Algorithms 60, No. 3, 463--481 (2012; Zbl 1427.76217) Full Text: DOI OpenURL
Hayat, T.; Shehzad, S. A.; Rafique, Ansa; Malik, M. Y. Mixed convection unsteady stagnation point flow over a stretching sheet with heat transfer in the presence of variable free stream. (English) Zbl 1344.76079 Int. J. Numer. Methods Fluids 68, No. 4, 483-493 (2012). MSC: 76R05 76R10 76M45 80A20 PDF BibTeX XML Cite \textit{T. Hayat} et al., Int. J. Numer. Methods Fluids 68, No. 4, 483--493 (2012; Zbl 1344.76079) Full Text: DOI OpenURL
Zedan, Hassan A.; El Adrous, Eman The application of the homotopy perturbation method and the homotopy analysis method to the generalized Zakharov equations. (English) Zbl 1246.65193 Abstr. Appl. Anal. 2012, Article ID 561252, 19 p. (2012). MSC: 65M99 35Q53 35Q35 65M15 PDF BibTeX XML Cite \textit{H. A. Zedan} and \textit{E. El Adrous}, Abstr. Appl. Anal. 2012, Article ID 561252, 19 p. (2012; Zbl 1246.65193) Full Text: DOI OpenURL
Abazari, Reza; Abazari, Malek Numerical simulation of generalized Hirota-Satsuma coupled KdV equation by RDTM and comparison with DTM. (English) Zbl 1244.65153 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 619-629 (2012). MSC: 65M99 35Q53 PDF BibTeX XML Cite \textit{R. Abazari} and \textit{M. Abazari}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 619--629 (2012; Zbl 1244.65153) Full Text: DOI OpenURL
Hayat, T.; Mustafa, M.; Shehzad, S. A.; Obaidat, S. Melting heat transfer in the stagnation-point flow of an upper-convected Maxwell (UCM) fluid past a stretching sheet. (English) Zbl 1426.76039 Int. J. Numer. Methods Fluids 68, No. 2, 233-243 (2012). MSC: 76A10 76M45 80A20 PDF BibTeX XML Cite \textit{T. Hayat} et al., Int. J. Numer. Methods Fluids 68, No. 2, 233--243 (2012; Zbl 1426.76039) Full Text: DOI OpenURL
Iqbal, Z.; Sajid, M.; Hayat, T.; Obaidat, S. Flow and heat transfer with prescribed skin friction in a rotating fluid. (English) Zbl 1237.76203 Int. J. Numer. Methods Fluids 68, No. 7, 872-886 (2012). MSC: 76U05 80A20 PDF BibTeX XML Cite \textit{Z. Iqbal} et al., Int. J. Numer. Methods Fluids 68, No. 7, 872--886 (2012; Zbl 1237.76203) Full Text: DOI OpenURL
Hayat, T.; Awais, M.; Sajid, M. Mass transfer effects on the unsteady flow of UCM fluid over a stretching sheet. (English) Zbl 1333.76011 Int. J. Mod. Phys. B 25, No. 21, 2863-2878 (2011). MSC: 76A05 76M25 65H20 PDF BibTeX XML Cite \textit{T. Hayat} et al., Int. J. Mod. Phys. B 25, No. 21, 2863--2878 (2011; Zbl 1333.76011) Full Text: DOI OpenURL
Mojahedi, M.; Zand, M. Moghimi; Ahmadian, M. T.; Babaei, M. Analytic solutions to the oscillatory behavior and primary resonance of electrostatically actuated microbridges. (English) Zbl 1245.74099 Int. J. Struct. Stab. Dyn. 11, No. 6, 1119-1137 (2011). MSC: 74S30 74K10 74H45 PDF BibTeX XML Cite \textit{M. Mojahedi} et al., Int. J. Struct. Stab. Dyn. 11, No. 6, 1119--1137 (2011; Zbl 1245.74099) Full Text: DOI OpenURL
Feng, Dahe; Li, Kezan Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method. (English) Zbl 1241.35178 Phys. Lett., A 375, No. 23, 2201-2210 (2011). MSC: 35Q53 35C07 35C08 PDF BibTeX XML Cite \textit{D. Feng} and \textit{K. Li}, Phys. Lett., A 375, No. 23, 2201--2210 (2011; Zbl 1241.35178) Full Text: DOI OpenURL
Zhang, Xindong; Tang, Bo; He, Yinnian Homotopy analysis method for higher-order fractional integro-differential equations. (English) Zbl 1232.65120 Comput. Math. Appl. 62, No. 8, 3194-3203 (2011). MSC: 65L99 45J05 65R20 34A08 PDF BibTeX XML Cite \textit{X. Zhang} et al., Comput. Math. Appl. 62, No. 8, 3194--3203 (2011; Zbl 1232.65120) Full Text: DOI OpenURL
Zaman, H.; Hayat, T.; Ayub, M.; Gorla, R. S. R. Series solution for heat transfer from a continuous surface in a parallel free stream of viscoelastic fluid. (English) Zbl 1411.76009 Numer. Methods Partial Differ. Equations 27, No. 6, 1511-1524 (2011). MSC: 76A10 76M25 80A20 PDF BibTeX XML Cite \textit{H. Zaman} et al., Numer. Methods Partial Differ. Equations 27, No. 6, 1511--1524 (2011; Zbl 1411.76009) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Abbasbandy} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4268--4275 (2011; Zbl 1222.65060) Full Text: DOI OpenURL
Hayat, T.; Zaman, H.; Ayub, M. Analytical solution of hydromagnetic flow with Hall effect over a surface stretching with a power-law velocity. (English) Zbl 1345.76117 Numer. Methods Partial Differ. Equations 27, No. 4, 937-959 (2011). MSC: 76W05 76M45 PDF BibTeX XML Cite \textit{T. Hayat} et al., Numer. Methods Partial Differ. Equations 27, No. 4, 937--959 (2011; Zbl 1345.76117) Full Text: DOI OpenURL
Vosughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid A new analytical technique to solve Volterra’s integral equations. (English) Zbl 1239.65084 Math. Methods Appl. Sci. 34, No. 10, 1243-1253 (2011). Reviewer: Hui-Sheng Ding (Jiangxi) MSC: 65R20 45G10 45G05 45D05 45E10 45A05 PDF BibTeX XML Cite \textit{H. Vosughi} et al., Math. Methods Appl. Sci. 34, No. 10, 1243--1253 (2011; Zbl 1239.65084) Full Text: DOI OpenURL
Wang, Z. C.; Tang, D. W.; Hu, X. G. Similarity solutions for flows and heat transfer in microchannels between two parallel plates. (English) Zbl 1217.80100 Int. J. Heat Mass Transfer 54, No. 11-12, 2349-2354 (2011). MSC: 80A20 76D05 76M45 80M35 PDF BibTeX XML Cite \textit{Z. C. Wang} et al., Int. J. Heat Mass Transfer 54, No. 11--12, 2349--2354 (2011; Zbl 1217.80100) Full Text: DOI OpenURL
Hayat, T.; Qasim, M. Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet. (English) Zbl 1432.76286 Int. J. Numer. Methods Fluids 66, No. 7, 820-832 (2011). MSC: 76W05 76R05 76R10 PDF BibTeX XML Cite \textit{T. Hayat} and \textit{M. Qasim}, Int. J. Numer. Methods Fluids 66, No. 7, 820--832 (2011; Zbl 1432.76286) Full Text: DOI OpenURL
Abbasbandy, S. Approximate analytical solutions to thermo-poroelastic equations by means of the iterated homotopy analysis method. (English) Zbl 1331.74178 Int. J. Comput. Math. 88, No. 8, 1763-1775 (2011). MSC: 74S30 65M99 74F05 74H10 80M25 PDF BibTeX XML Cite \textit{S. Abbasbandy}, Int. J. Comput. Math. 88, No. 8, 1763--1775 (2011; Zbl 1331.74178) Full Text: DOI OpenURL
Nadeem, Sohail; Zaheer, Shehla; Fang, Tiegang Effects of thermal radiation on the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface. (English) Zbl 1432.76032 Numer. Algorithms 57, No. 2, 187-205 (2011). MSC: 76A05 80A21 76S05 PDF BibTeX XML Cite \textit{S. Nadeem} et al., Numer. Algorithms 57, No. 2, 187--205 (2011; Zbl 1432.76032) Full Text: DOI OpenURL
Qian, Y. H.; Zhang, W.; Lin, B. W.; Lai, S. K. Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method. (English) Zbl 1241.70036 Acta Mech. 219, No. 1-2, 1-14 (2011). Reviewer: Vasile Marinca (Timişoara) MSC: 70K42 70K60 PDF BibTeX XML Cite \textit{Y. H. Qian} et al., Acta Mech. 219, No. 1--2, 1--14 (2011; Zbl 1241.70036) Full Text: DOI OpenURL
Hassan, Hany N.; El-Tawil, Magdy A. An efficient analytic approach for solving two-point nonlinear boundary value problems by homotopy analysis method. (English) Zbl 1226.34021 Math. Methods Appl. Sci. 34, No. 8, 977-989 (2011). Reviewer: Feng Xie (Shanghai) MSC: 34B15 34A45 34A25 PDF BibTeX XML Cite \textit{H. N. Hassan} and \textit{M. A. El-Tawil}, Math. Methods Appl. Sci. 34, No. 8, 977--989 (2011; Zbl 1226.34021) Full Text: DOI OpenURL
Zhang, W.; Qian, Y. H.; Yao, M. H.; Lai, S. K. Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method. (English) Zbl 1331.70065 Acta Mech. 217, No. 3-4, 269-285 (2011). MSC: 70K99 65L99 34C15 PDF BibTeX XML Cite \textit{W. Zhang} et al., Acta Mech. 217, No. 3--4, 269--285 (2011; Zbl 1331.70065) Full Text: DOI OpenURL
Kimiaeifar, A.; Domairry, G.; Mohebpour, S. R.; Sohouli, A. R.; Davodi, A. G. Analytical solution for large deflections of a cantilever beam under nonconservative load based on homotopy analysis method. (English) Zbl 1301.74021 Numer. Methods Partial Differ. Equations 27, No. 3, 541-553 (2011). MSC: 74G10 74K10 35Q74 65L99 PDF BibTeX XML Cite \textit{A. Kimiaeifar} et al., Numer. Methods Partial Differ. Equations 27, No. 3, 541--553 (2011; Zbl 1301.74021) Full Text: DOI OpenURL
Wang, Qi The optimal homotopy-analysis method for Kawahara equation. (English) Zbl 1213.35030 Nonlinear Anal., Real World Appl. 12, No. 3, 1555-1561 (2011). MSC: 35A25 35C07 PDF BibTeX XML Cite \textit{Q. Wang}, Nonlinear Anal., Real World Appl. 12, No. 3, 1555--1561 (2011; Zbl 1213.35030) Full Text: DOI OpenURL
Abbasbandy, S.; López, J. L.; López-Ruiz, R. The homotopy analysis method and the Liénard equation. (English) Zbl 1211.65088 Int. J. Comput. Math. 88, No. 1, 121-134 (2011). MSC: 65L05 65L60 34M10 34C07 PDF BibTeX XML Cite \textit{S. Abbasbandy} et al., Int. J. Comput. Math. 88, No. 1, 121--134 (2011; Zbl 1211.65088) Full Text: DOI arXiv OpenURL
Abbasbandy, Saeid; Shivanian, E. A new analytical technique to solve Fredholm’s integral equations. (English) Zbl 1208.45006 Numer. Algorithms 56, No. 1, 27-43 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 45L05 45B05 45G10 PDF BibTeX XML Cite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Numer. Algorithms 56, No. 1, 27--43 (2011; Zbl 1208.45006) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{N. Kousar} and \textit{S. Liao}, Nonlinear Anal., Real World Appl. 12, No. 1, 333--342 (2011; Zbl 1206.35208) Full Text: DOI OpenURL
Joneidi, A. A.; Domairry, G.; Babaelahi, M. Homotopy analysis method to Walter’s B fluid in a vertical channel with porous wall. (English) Zbl 1258.76027 Meccanica 45, No. 6, 857-868 (2010). MSC: 76A10 76S05 76M45 80A20 PDF BibTeX XML Cite \textit{A. A. Joneidi} et al., Meccanica 45, No. 6, 857--868 (2010; Zbl 1258.76027) Full Text: DOI OpenURL
Song, Lina; Wang, Weiguo Approximate rational Jacobi elliptic function solutions of the fractional differential equations via the enhanced Adomian decomposition method. (English) Zbl 1238.34004 Phys. Lett., A 374, No. 31-32, 3190-3196 (2010). MSC: 34A05 33E05 49M27 PDF BibTeX XML Cite \textit{L. Song} and \textit{W. Wang}, Phys. Lett., A 374, No. 31--32, 3190--3196 (2010; Zbl 1238.34004) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 12, 3830--3846 (2010; Zbl 1222.65081) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Qian} and \textit{S. Chen}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 3113--3130 (2010; Zbl 1222.65092) Full Text: DOI OpenURL
Sweet, Erik; Van Gorder, Robert A. Trigonometric and hyperbolic type solutions to a generalized Drinfel’d-Sokolov equation. (English) Zbl 1206.35223 Appl. Math. Comput. 217, No. 8, 4147-4166 (2010). MSC: 35Q53 35C09 35B30 35A35 35C20 PDF BibTeX XML Cite \textit{E. Sweet} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 217, No. 8, 4147--4166 (2010; Zbl 1206.35223) Full Text: DOI OpenURL
Wang, Qi Approximate solution for system of differential-difference equations by means of the homotopy analysis method. (English) Zbl 1221.65159 Appl. Math. Comput. 217, No. 8, 4122-4128 (2010). Reviewer: Neville Ford (Chester) MSC: 65L03 65L20 34A25 34K28 PDF BibTeX XML Cite \textit{Q. Wang}, Appl. Math. Comput. 217, No. 8, 4122--4128 (2010; Zbl 1221.65159) Full Text: DOI OpenURL
Abbasbandy, S.; Parkes, E. J. Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method. (English) Zbl 1202.65125 Int. J. Comput. Math. 87, No. 10, 2303-2313 (2010). MSC: 65M70 35C10 35Q53 PDF BibTeX XML Cite \textit{S. Abbasbandy} and \textit{E. J. Parkes}, Int. J. Comput. Math. 87, No. 10, 2303--2313 (2010; Zbl 1202.65125) Full Text: DOI OpenURL
Abidi, Fayçal; Omrani, Khaled The homotopy analysis method for solving the fornberg-whitham equation and comparison with Adomian’s decomposition method. (English) Zbl 1193.65179 Comput. Math. Appl. 59, No. 8, 2743-2750 (2010). MSC: 65M99 PDF BibTeX XML Cite \textit{F. Abidi} and \textit{K. Omrani}, Comput. Math. Appl. 59, No. 8, 2743--2750 (2010; Zbl 1193.65179) Full Text: DOI OpenURL
Kimiaeifar, A. An analytical approach to investigate the response and stability of Van der Pol-Mathieu-Duffing oscillators under different excitation functions. (English) Zbl 1304.34098 Math. Methods Appl. Sci. 33, No. 13, 1571-1577 (2010). MSC: 34D20 PDF BibTeX XML Cite \textit{A. Kimiaeifar}, Math. Methods Appl. Sci. 33, No. 13, 1571--1577 (2010; Zbl 1304.34098) Full Text: DOI OpenURL
Sweet, Erik; Van Gorder, Robert A. Analytical solutions to a generalized Drinfel’d-Sokolov equation related to DSSH and KdV6. (English) Zbl 1195.35271 Appl. Math. Comput. 216, No. 10, 2783-2791 (2010). MSC: 35Q53 35B20 35B30 35A22 35A35 35C05 PDF BibTeX XML Cite \textit{E. Sweet} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 216, No. 10, 2783--2791 (2010; Zbl 1195.35271) Full Text: DOI OpenURL
Paripour, M.; Babolian, E.; Saeidian, J. Analytic solutions to diffusion equations. (English) Zbl 1190.65160 Math. Comput. Modelling 51, No. 5-6, 649-657 (2010). MSC: 65M99 35K57 PDF BibTeX XML Cite \textit{M. Paripour} et al., Math. Comput. Modelling 51, No. 5--6, 649--657 (2010; Zbl 1190.65160) Full Text: DOI OpenURL
Abdulaziz, O.; Bataineh, A. Sami; Hashim, I. On convergence of homotopy analysis method and its modification for fractional modified KdV equations. (English) Zbl 1193.35178 J. Appl. Math. Comput. 33, No. 1-2, 61-81 (2010). MSC: 35Q53 35R11 35C20 PDF BibTeX XML Cite \textit{O. Abdulaziz} et al., J. Appl. Math. Comput. 33, No. 1--2, 61--81 (2010; Zbl 1193.35178) Full Text: DOI OpenURL
Zurigat, Mohammad; Momani, Shaher; Alawneh, Ahmad Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method. (English) Zbl 1189.65187 Comput. Math. Appl. 59, No. 3, 1227-1235 (2010). MSC: 65L99 26A33 34A08 34A09 34A45 PDF BibTeX XML Cite \textit{M. Zurigat} et al., Comput. Math. Appl. 59, No. 3, 1227--1235 (2010; Zbl 1189.65187) Full Text: DOI OpenURL
Noor, N. F. M.; Abdulaziz, O.; Hashim, I. MHD flow and heat transfer in a thin liquid film on an unsteady stretching sheet by the homotopy analysis method. (English) Zbl 1352.76125 Int. J. Numer. Methods Fluids 63, No. 3, 357-373 (2010). MSC: 76W05 76M25 80A20 76A20 PDF BibTeX XML Cite \textit{N. F. M. Noor} et al., Int. J. Numer. Methods Fluids 63, No. 3, 357--373 (2010; Zbl 1352.76125) Full Text: DOI OpenURL
Joneidi, A. A.; Domairry, G.; Babaelahi, M.; Mozaffari, M. Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder. (English) Zbl 1423.76339 Int. J. Numer. Methods Fluids 63, No. 5, 548-563 (2010). MSC: 76M25 76W05 80A20 PDF BibTeX XML Cite \textit{A. A. Joneidi} et al., Int. J. Numer. Methods Fluids 63, No. 5, 548--563 (2010; Zbl 1423.76339) Full Text: DOI OpenURL
Mojahedi, M.; Zand, M. Moghimi; Ahmadian, M. T. Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method. (English) Zbl 1185.74032 Appl. Math. Modelling 34, No. 4, 1032-1041 (2010). MSC: 74K10 65M99 74H10 74M25 PDF BibTeX XML Cite \textit{M. Mojahedi} et al., Appl. Math. Modelling 34, No. 4, 1032--1041 (2010; Zbl 1185.74032) Full Text: DOI OpenURL
Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad The homotopy analysis method for handling systems of fractional differential equations. (English) Zbl 1185.65140 Appl. Math. Modelling 34, No. 1, 24-35 (2010). MSC: 65L99 34A08 PDF BibTeX XML Cite \textit{M. Zurigat} et al., Appl. Math. Modelling 34, No. 1, 24--35 (2010; Zbl 1185.65140) Full Text: DOI OpenURL
Nadeem, S.; Hayat, T.; Abbasbandy, S.; Ali, M. Effects of partial slip on a fourth-grade fluid with variable viscosity: an analytic solution. (English) Zbl 1186.35166 Nonlinear Anal., Real World Appl. 11, No. 2, 856-868 (2010). MSC: 35Q35 76D03 80A20 35C10 76M45 PDF BibTeX XML Cite \textit{S. Nadeem} et al., Nonlinear Anal., Real World Appl. 11, No. 2, 856--868 (2010; Zbl 1186.35166) Full Text: DOI OpenURL
Abbasbandy, S. Homotopy analysis method for the Kawahara equation. (English) Zbl 1181.35224 Nonlinear Anal., Real World Appl. 11, No. 1, 307-312 (2010). MSC: 35Q53 35C07 35C10 35A20 PDF BibTeX XML Cite \textit{S. Abbasbandy}, Nonlinear Anal., Real World Appl. 11, No. 1, 307--312 (2010; Zbl 1181.35224) Full Text: DOI OpenURL
Chen, Yanmao; Liu, Jike Improving convergence of incremental harmonic balance method using homotopy analysis method. (English) Zbl 1269.70006 Acta Mech. Sin. 25, No. 5, 707-712 (2009). MSC: 70-08 70K99 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{J. Liu}, Acta Mech. Sin. 25, No. 5, 707--712 (2009; Zbl 1269.70006) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{H. Khan} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 7, 3141--3148 (2009; Zbl 1221.65204) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S.-J. Liao}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2144--2159 (2009; Zbl 1221.76068) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. Babolian} and \textit{J. Saeidian}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1984--1992 (2009; Zbl 1221.65271) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 983--997 (2009; Zbl 1221.65126) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{I. Hashim} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 3, 674--684 (2009; Zbl 1221.65277) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{X. J. Ran} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 1, 119--132 (2009; Zbl 1221.76158) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Abbasbandy} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4114--4121 (2009; Zbl 1221.65269) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Alomari, A. K.; Noorani, M. S. M.; Nazar, R. On a new reliable algorithm. (English) Zbl 1207.34018 Int. J. Differ. Equ. 2009, Article ID 710250, 13 p. (2009). MSC: 34A45 34C60 92D25 PDF BibTeX XML Cite \textit{A. K. Alomari} et al., Int. J. Differ. Equ. 2009, Article ID 710250, 13 p. (2009; Zbl 1207.34018) Full Text: DOI EuDML OpenURL
Kimiaeifar, A.; Saidi, A. R.; Bagheri, G. H.; Rahimpour, M.; Domairry, D. G. Analytical solution for van der Pol-Duffing oscillators. (English) Zbl 1198.65145 Chaos Solitons Fractals 42, No. 5, 2660-2666 (2009). MSC: 65L99 34C15 PDF BibTeX XML Cite \textit{A. Kimiaeifar} et al., Chaos Solitons Fractals 42, No. 5, 2660--2666 (2009; Zbl 1198.65145) Full Text: DOI OpenURL
Alomari, A. K.; Noorani, M. S. M.; Nazar, R. On the homotopy analysis method for the exact solutions of Helmholtz equation. (English) Zbl 1198.65201 Chaos Solitons Fractals 41, No. 4, 1873-1879 (2009). MSC: 65M99 35Q55 PDF BibTeX XML Cite \textit{A. K. Alomari} et al., Chaos Solitons Fractals 41, No. 4, 1873--1879 (2009; Zbl 1198.65201) Full Text: DOI OpenURL
Song, Lina; Zhang, Hongqing Solving the fractional BBM-Burgers equation using the homotopy analysis method. (English) Zbl 1198.65205 Chaos Solitons Fractals 40, No. 4, 1616-1622 (2009). MSC: 65M99 35Q53 45K05 PDF BibTeX XML Cite \textit{L. Song} and \textit{H. Zhang}, Chaos Solitons Fractals 40, No. 4, 1616--1622 (2009; Zbl 1198.65205) Full Text: DOI OpenURL
Cang, Jie; Tan, Yue; Xu, Hang; Liao, Shi-Jun Series solutions of non-linear Riccati differential equations with fractional order. (English) Zbl 1197.34006 Chaos Solitons Fractals 40, No. 1, 1-9 (2009). MSC: 34A25 34A08 26A33 PDF BibTeX XML Cite \textit{J. Cang} et al., Chaos Solitons Fractals 40, No. 1, 1--9 (2009; Zbl 1197.34006) Full Text: DOI OpenURL
Abbasbandy, S. Solitary wave solutions to the modified form of Camassa-Holm equation by means of the homotopy analysis method. (English) Zbl 1197.65199 Chaos Solitons Fractals 39, No. 1, 428-435 (2009). MSC: 65N99 35Q53 PDF BibTeX XML Cite \textit{S. Abbasbandy}, Chaos Solitons Fractals 39, No. 1, 428--435 (2009; Zbl 1197.65199) Full Text: DOI OpenURL
Sajid, M.; Abbas, Z.; Hayat, T. Homotopy analysis for boundary layer flow of a micropolar fluid through a porous channel. (English) Zbl 1205.76201 Appl. Math. Modelling 33, No. 11, 4120-4125 (2009). MSC: 76M25 76A05 PDF BibTeX XML Cite \textit{M. Sajid} et al., Appl. Math. Modelling 33, No. 11, 4120--4125 (2009; Zbl 1205.76201) Full Text: DOI OpenURL
Zhang, Li; Wang, Guangqian; Fu, Xudong; Sun, Qicheng An analytical solution to Boltzmann equation of dilute granular flow with homotopy analysis method. (English) Zbl 1184.76892 Chin. Sci. Bull. 54, No. 23, 4365-4370 (2009). MSC: 76T25 65M99 PDF BibTeX XML Cite \textit{L. Zhang} et al., Chin. Sci. Bull. 54, No. 23, 4365--4370 (2009; Zbl 1184.76892) Full Text: DOI Link OpenURL
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I. Direct solution of \(n\)th-order IVPs by homotopy analysis method. (English) Zbl 1178.65077 Differ. Equ. Nonlinear Mech. 2009, Article ID 842094, 15 p. (2009). MSC: 65L05 65L06 34A34 PDF BibTeX XML Cite \textit{A. S. Bataineh} et al., Differ. Equ. Nonlinear Mech. 2009, Article ID 842094, 15 p. (2009; Zbl 1178.65077) Full Text: DOI EuDML OpenURL
Bataineh, A. S.; Alomari, A. K.; Noorani, M. S. M.; Hashim, I.; Nazar, R. Series solutions of systems of nonlinear fractional differential equations. (English) Zbl 1187.34007 Acta Appl. Math. 105, No. 2, 189-198 (2009). MSC: 34A08 34A25 34A45 PDF BibTeX XML Cite \textit{A. S. Bataineh} et al., Acta Appl. Math. 105, No. 2, 189--198 (2009; Zbl 1187.34007) Full Text: DOI OpenURL
Alomari, A. K.; Noorani, M. S. M.; Nazar, R. Solution of delay differential equation by means of homotopy analysis method. (English) Zbl 1187.34081 Acta Appl. Math. 108, No. 2, 395-412 (2009). Reviewer: M. Serban (Cluj-Napoca) MSC: 34K07 34K05 34K28 PDF BibTeX XML Cite \textit{A. K. Alomari} et al., Acta Appl. Math. 108, No. 2, 395--412 (2009; Zbl 1187.34081) Full Text: DOI OpenURL
Alomari, A. K.; Noorani, M. S. M.; Nazar, R. Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrödinger-KdV equation. (English) Zbl 1177.65152 J. Appl. Math. Comput. 31, No. 1-2, 1-12 (2009). MSC: 65M70 35Q53 35Q55 PDF BibTeX XML Cite \textit{A. K. Alomari} et al., J. Appl. Math. Comput. 31, No. 1--2, 1--12 (2009; Zbl 1177.65152) Full Text: DOI OpenURL
Khan, Hina; Mohapatra, Ram N.; Vajravelu, K.; Liao, S. J. The explicit series solution of SIR and SIS epidemic models. (English) Zbl 1171.92033 Appl. Math. Comput. 215, No. 2, 653-669 (2009). MSC: 92D30 37N25 34A34 PDF BibTeX XML Cite \textit{H. Khan} et al., Appl. Math. Comput. 215, No. 2, 653--669 (2009; Zbl 1171.92033) Full Text: DOI OpenURL