Noeiaghdam, Samad; Fariborzi Araghi, Mohammad Ali; Abbasbandy, Saeid Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic. (English) Zbl 1412.65244 Numer. Algorithms 81, No. 1, 237-267 (2019). MSC: 65R20 65G99 PDFBibTeX XMLCite \textit{S. Noeiaghdam} et al., Numer. Algorithms 81, No. 1, 237--267 (2019; Zbl 1412.65244) Full Text: DOI
Al-Shara, Safwan; Awawdeh, Fadi; Abbasbandy, S. An automatic scheme on the homotopy analysis method for solving nonlinear algebraic equations. (English) Zbl 1381.65036 Ital. J. Pure Appl. Math. 37, 5-14 (2017). MSC: 65H05 PDFBibTeX XMLCite \textit{S. Al-Shara} et al., Ital. J. Pure Appl. Math. 37, 5--14 (2017; Zbl 1381.65036) Full Text: Link
Alomari, A. K.; Awawdeh, Fadi; Abbasbandy, Saeid; Alsayyed, O.; Ahmad, F. Bani Analysis of steady three-dimensional hydromagnetic stagnation point flow towards a stretching sheet with heat generation. (English) Zbl 1357.76059 Ital. J. Pure Appl. Math. 36, 179-194 (2016). MSC: 76M25 76W05 76D10 PDFBibTeX XMLCite \textit{A. K. Alomari} et al., Ital. J. Pure Appl. Math. 36, 179--194 (2016; Zbl 1357.76059) Full Text: Link
Noor, N. F. M.; Haq, Rizwan Ul; Abbasbandy, S.; Hashim, I. Heat flux performance in a porous medium embedded Maxwell fluid flow over a vertically stretched plate due to heat absorption. (English) Zbl 1342.35225 J. Nonlinear Sci. Appl. 9, No. 5, 2986-3001 (2016). MSC: 35Q30 76D10 80A20 76A05 76A10 65L06 65L10 PDFBibTeX XMLCite \textit{N. F. M. Noor} et al., J. Nonlinear Sci. Appl. 9, No. 5, 2986--3001 (2016; Zbl 1342.35225) Full Text: DOI Link
Moghtadaei, Mohsen; Saberi Nik, Hassan; Abbasbandy, Saeid A spectral method for the electrohydrodynamic flow in a circular cylindrical conduit. (English) Zbl 1319.34025 Chin. Ann. Math., Ser. B 36, No. 2, 307-322 (2015). MSC: 34A45 34A34 34B15 34B60 76W05 PDFBibTeX XMLCite \textit{M. Moghtadaei} et al., Chin. Ann. Math., Ser. B 36, No. 2, 307--322 (2015; Zbl 1319.34025) Full Text: DOI
Maleki, Mohammad; Tonekaboni, Seyed Ali Madani; Abbasbandy, Saeid A homotopy analysis solution to large deformation of beams under static arbitrary distributed load. (English) Zbl 1427.74180 Appl. Math. Modelling 38, No. 1, 355-368 (2014). MSC: 74S99 74K10 74B10 PDFBibTeX XMLCite \textit{M. Maleki} et al., Appl. Math. Modelling 38, No. 1, 355--368 (2014; Zbl 1427.74180) Full Text: DOI
Shivanian, Elyas; Alsulami, Hamed H.; Alhuthali, Mohammed S.; Abbasbandy, Saeid Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear Navier boundary condition: existence of four solutions. (English) Zbl 1462.35253 Filomat 28, No. 8, 1687-1697 (2014). MSC: 35Q30 65N99 76D05 76D03 PDFBibTeX XMLCite \textit{E. Shivanian} et al., Filomat 28, No. 8, 1687--1697 (2014; Zbl 1462.35253) Full Text: DOI
Abbasbandy, Saeid; Naz, Rahila; Hayat, Tasawar; Alsaedi, A. Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid. (English) Zbl 1334.76165 Appl. Math. Comput. 242, 569-575 (2014). MSC: 76W05 35Q35 76M25 65N99 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Appl. Math. Comput. 242, 569--575 (2014; Zbl 1334.76165) Full Text: DOI
Abbasbandy, Saeid; Shivanian, Elyas Predictor homotopy analysis method (PHAM). (English) Zbl 1306.65232 Liao, Shijun (ed.), Advances in the homotopy analysis method. Hackensack, NJ: World Scientific (ISBN 978-981-4551-24-3/hbk; 978-981-4551-26-7/ebook). 35-83 (2014). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 34B15 65L20 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{E. Shivanian}, in: Advances in the homotopy analysis method. Hackensack, NJ: World Scientific. 35--83 (2014; Zbl 1306.65232)
Shivanian, Elyas; Abbasbandy, Saeid Predictor homotopy analysis method: two points second order boundary value problems. (English) Zbl 1294.65081 Nonlinear Anal., Real World Appl. 15, 89-99 (2014). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{S. Abbasbandy}, Nonlinear Anal., Real World Appl. 15, 89--99 (2014; Zbl 1294.65081) Full Text: DOI
Ghanbari, M.; Abbasbandy, S.; Allahviranloo, T. A new approach to determine the convergence-control parameter in the application of the homotopy analysis method to systems of linear equations. (English) Zbl 1291.65098 Appl. Comput. Math. 12, No. 3, 355-364 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 PDFBibTeX XMLCite \textit{M. Ghanbari} et al., Appl. Comput. Math. 12, No. 3, 355--364 (2013; Zbl 1291.65098) Full Text: Link
Behzadi, Sh. S.; Abbasbandy, S.; Allahviranloo, T. A study of singular integro-differential equation of Abel’s type by iterative methods. (English) Zbl 1284.35291 J. Appl. Math. Inform. 31, No. 3-4, 499-511 (2013). MSC: 35L75 PDFBibTeX XMLCite \textit{Sh. S. Behzadi} et al., J. Appl. Math. Inform. 31, No. 3--4, 499--511 (2013; Zbl 1284.35291) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{M. Jalili}, Numer. Algorithms 64, No. 4, 593--605 (2013; Zbl 1283.65073) Full Text: DOI
Abbasbandy, Saeid; Hashemi, Mir Sajjad; Hashim, Ishak On convergence of homotopy analysis method and its application to fractional integro-differential equations. (English) Zbl 1274.65229 Quaest. Math. 36, No. 1, 93-105 (2013). MSC: 65L99 35R11 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Quaest. Math. 36, No. 1, 93--105 (2013; Zbl 1274.65229) Full Text: DOI
Awawdeh, Fadi; Abbasbandy, S. Toward a new algorithm for nonlinear fractional differential equations. (English) Zbl 1262.34005 Adv. Appl. Math. Mech. 5, No. 2, 222-234 (2013). MSC: 34A08 74G10 35C10 44A10 PDFBibTeX XMLCite \textit{F. Awawdeh} and \textit{S. Abbasbandy}, Adv. Appl. Math. Mech. 5, No. 2, 222--234 (2013; Zbl 1262.34005) Full Text: DOI
Abbasbandy, S.; Hashemi, M. S. A series solution of fuzzy integro-differential equations. (English) Zbl 1356.65247 J. Fuzzy Set Valued Anal. 2012, Article ID 00066, 17 p. (2012). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{M. S. Hashemi}, J. Fuzzy Set Valued Anal. 2012, Article ID 00066, 17 p. (2012; Zbl 1356.65247) Full Text: DOI
Sadigh Behzadi, Sh.; Abbasbandy, S.; Allahviranloo, T.; Yildirim, A. Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations. (English) Zbl 1304.34110 J. Appl. Anal. Comput. 2, No. 2, 127-136 (2012). MSC: 34K07 45J05 PDFBibTeX XMLCite \textit{Sh. Sadigh Behzadi} et al., J. Appl. Anal. Comput. 2, No. 2, 127--136 (2012; Zbl 1304.34110)
Vosoughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model. (English) Zbl 1256.65077 Numer. Algorithms 61, No. 3, 515-524 (2012). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{H. Vosoughi} et al., Numer. Algorithms 61, No. 3, 515--524 (2012; Zbl 1256.65077) Full Text: DOI
Hayat, T.; Naz, Rahila; Abbasbandy, S. On flow of a fourth-grade fluid with heat transfer. (English) Zbl 1367.76002 Int. J. Numer. Methods Fluids 67, No. 12, 2043-2053 (2011). MSC: 76A05 76M45 74S05 80A20 PDFBibTeX XMLCite \textit{T. Hayat} et al., Int. J. Numer. Methods Fluids 67, No. 12, 2043--2053 (2011; Zbl 1367.76002) 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
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
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
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
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 PDFBibTeX XMLCite \textit{H. Vosughi} et al., Math. Methods Appl. Sci. 34, No. 10, 1243--1253 (2011; Zbl 1239.65084) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Int. J. Comput. Math. 88, No. 8, 1763--1775 (2011; Zbl 1331.74178) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Int. J. Comput. Math. 88, No. 1, 121--134 (2011; Zbl 1211.65088) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Numer. Algorithms 56, No. 1, 27--43 (2011; Zbl 1208.45006) 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
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 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{E. J. Parkes}, Int. J. Comput. Math. 87, No. 10, 2303--2313 (2010; Zbl 1202.65125) Full Text: DOI
Abbasbandy, Saeid; Shirzadi, A. Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems. (English) Zbl 1197.65096 Numer. Algorithms 54, No. 4, 521-532 (2010). MSC: 65L15 34A08 34L16 65L20 34B24 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{A. Shirzadi}, Numer. Algorithms 54, No. 4, 521--532 (2010; Zbl 1197.65096) Full Text: DOI
Ellahi, R.; Abbasbandy, S.; Hayat, T.; Zeeshan, A. On comparison of series and numerical solutions for second Painlevé equation. (English) Zbl 1197.65080 Numer. Methods Partial Differ. Equations 26, No. 5, 1070-1078 (2010). MSC: 65L05 34M55 34A25 65L20 PDFBibTeX XMLCite \textit{R. Ellahi} et al., Numer. Methods Partial Differ. Equations 26, No. 5, 1070--1078 (2010; Zbl 1197.65080) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Nonlinear Anal., Real World Appl. 11, No. 1, 307--312 (2010; Zbl 1181.35224) 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
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
Abbasbandy, S.; Shivanian, E. Solution of singular linear vibrational BVPs by the homotopy analysis method. (English) Zbl 1220.65141 J. Numer. Math. Stoch. 1, No. 1, 77-84 (2009). MSC: 65M70 35L20 74K15 74S25 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{E. Shivanian}, J. Numer. Math. Stoch. 1, No. 1, 77--84 (2009; Zbl 1220.65141) Full Text: Link
Abbasbandy, S.; Hayat, T.; Mahomed, F. M.; Ellahi, R. On comparison of exact and series solutions for thin film flow of a third-grade fluid. (English) Zbl 1252.76009 Int. J. Numer. Methods Fluids 61, No. 9, 987-994 (2009). MSC: 76A20 65N99 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Int. J. Numer. Methods Fluids 61, No. 9, 987--994 (2009; Zbl 1252.76009) Full Text: DOI
Abbasbandy, S.; Hayat, T.; Maqbool, K. On series solution for generalized Falkner-Skan flow of a FENE-P model. (English) Zbl 1172.76004 Int. J. Numer. Methods Fluids 61, No. 6, 698-708 (2009). MSC: 76A10 76D10 76M25 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Int. J. Numer. Methods Fluids 61, No. 6, 698--708 (2009; Zbl 1172.76004) Full Text: DOI
Parkes, E. J.; Abbasbandy, S. Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method. (English) Zbl 1159.65348 Numer. Methods Partial Differ. Equations 25, No. 2, 401-408 (2009). MSC: 65M70 35L70 PDFBibTeX XMLCite \textit{E. J. Parkes} and \textit{S. Abbasbandy}, Numer. Methods Partial Differ. Equations 25, No. 2, 401--408 (2009; Zbl 1159.65348) Full Text: DOI Link
Abbasbandy, S. Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method. (English) Zbl 1173.35646 Nonlinear Dyn. 52, No. 1-2, 35-40 (2008). MSC: 35Q53 35C10 35A35 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Nonlinear Dyn. 52, No. 1--2, 35--40 (2008; Zbl 1173.35646) Full Text: DOI
Abbasbandy, S.; Zakaria, F. Samadian Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. (English) Zbl 1170.76317 Nonlinear Dyn. 51, No. 1-2, 83-87 (2008). MSC: 76B25 76M45 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{F. S. Zakaria}, Nonlinear Dyn. 51, No. 1--2, 83--87 (2008; Zbl 1170.76317) Full Text: DOI
Abbasbandy, S. Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method. (English) Zbl 1167.35395 Appl. Math. Modelling 32, No. 12, 2706-2714 (2008). MSC: 35K57 35Q51 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Appl. Math. Modelling 32, No. 12, 2706--2714 (2008; Zbl 1167.35395) Full Text: DOI
Abbasbandy, Saeid; Liao, Shi-Jun A new modification of false position method based on homotopy analysis method. (English) Zbl 1231.65084 Appl. Math. Mech., Engl. Ed. 29, No. 2, 223-228 (2008). MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{S.-J. Liao}, Appl. Math. Mech., Engl. Ed. 29, No. 2, 223--228 (2008; Zbl 1231.65084) 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
Abbasbandy, S. Application of He’s homotopy perturbation method to functional integral equations. (English) Zbl 1139.65085 Chaos Solitons Fractals 31, No. 5, 1243-1247 (2007). MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Chaos Solitons Fractals 31, No. 5, 1243--1247 (2007; Zbl 1139.65085) Full Text: DOI
Abbasbandy, S. The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation. (English) Zbl 1273.65156 Phys. Lett., A 361, No. 6, 478-483 (2007). MSC: 65M99 65N99 35Q53 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Phys. Lett., A 361, No. 6, 478--483 (2007; Zbl 1273.65156) Full Text: DOI
Abbasbandy, S. A new application of He’s variational iteration method for quadratic Riccati differential equation by using Adomian’s polynomials. (English) Zbl 1120.65083 J. Comput. Appl. Math. 207, No. 1, 59-63 (2007). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{S. Abbasbandy}, J. Comput. Appl. Math. 207, No. 1, 59--63 (2007; Zbl 1120.65083) Full Text: DOI
Abbasbandy, S.; Tan, Y.; Liao, S. J. Newton-homotopy analysis method for nonlinear equations. (English) Zbl 1119.65032 Appl. Math. Comput. 188, No. 2, 1794-1800 (2007). MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Appl. Math. Comput. 188, No. 2, 1794--1800 (2007; Zbl 1119.65032) Full Text: DOI
Abbasbandy, S. The application of homotopy analysis method to nonlinear equations arising in heat transfer. (English) Zbl 1236.80010 Phys. Lett., A 360, No. 1, 109-113 (2006). MSC: 80M25 80A20 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Phys. Lett., A 360, No. 1, 109--113 (2006; Zbl 1236.80010) Full Text: DOI
Abbasbandy, S.; Ezzati, R. Homotopy method for solving fuzzy nonlinear equations. (English) Zbl 1099.65047 Appl. Sci. 8, No. 1, 1-7 (2006). MSC: 65H20 65H10 08A72 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{R. Ezzati}, Appl. Sci. 8, No. 1, 1--7 (2006; Zbl 1099.65047) Full Text: EuDML EMIS
Abbasbandy, S. Numerical solutions of the integral equations: homotopy perturbation method and Adomian’s decomposition method. (English) Zbl 1090.65143 Appl. Math. Comput. 173, No. 1, 493-500 (2006). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Appl. Math. Comput. 173, No. 1, 493--500 (2006; Zbl 1090.65143) Full Text: DOI
Abbasbandy, S. Iterated He’s homotopy perturbation method for quadratic Riccati differential equation. (English) Zbl 1089.65072 Appl. Math. Comput. 175, No. 1, 581-589 (2006). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Appl. Math. Comput. 175, No. 1, 581--589 (2006; Zbl 1089.65072) Full Text: DOI
Abbasbandy, S. Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method. (English) Zbl 1088.65043 Appl. Math. Comput. 172, No. 1, 431-438 (2006). MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Appl. Math. Comput. 172, No. 1, 431--438 (2006; Zbl 1088.65043) Full Text: DOI