Habib, Siddra; Azam, Muhammad Khurshid; Asjad, Muhammad Imran; Akgül, Ali Approximate solutions for higher order linear and nonlinear boundary value problems. (English) Zbl 1493.65271 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 204, 17 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N99 65N12 65N15 44A10 35G20 PDFBibTeX XMLCite \textit{S. Habib} et al., Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 204, 17 p. (2021; Zbl 1493.65271) Full Text: DOI
Ashrafi, Tareq Ghanbari; Hoseinzadeh, Siamak; Sohani, Ali; Shahverdian, Mohammad Hassan Applying homotopy perturbation method to provide an analytical solution for Newtonian fluid flow on a porous flat plate. (English) Zbl 1471.76070 Math. Methods Appl. Sci. 44, No. 8, 7017-7030 (2021). MSC: 76S05 76M45 PDFBibTeX XMLCite \textit{T. G. Ashrafi} et al., Math. Methods Appl. Sci. 44, No. 8, 7017--7030 (2021; Zbl 1471.76070) Full Text: DOI
Yang, Shuquan; Jia, Zhaoli; Wu, Qianqian; Wu, Huojun Homotopy analysis method for portfolio optimization problem under the 3/2 model. (English) Zbl 1460.91256 J. Syst. Sci. Complex. 34, No. 3, 1087-1101 (2021). MSC: 91G10 55P99 91G80 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Syst. Sci. Complex. 34, No. 3, 1087--1101 (2021; Zbl 1460.91256) Full Text: DOI
Collins, J. B.; Hauenstein, Jonathan D. A singular value homotopy for finding critical parameter values. (English) Zbl 1470.65106 Appl. Numer. Math. 161, 233-243 (2021). MSC: 65H20 PDFBibTeX XMLCite \textit{J. B. Collins} and \textit{J. D. Hauenstein}, Appl. Numer. Math. 161, 233--243 (2021; Zbl 1470.65106) Full Text: DOI
Ganeshan, Devipriya; Thiruvarul Selvan, Kavitha Analytical solution of the effect of awareness program by media on the spread of an infectious disease by homotopy perturbation method. (English) Zbl 1458.34087 Tamkang J. Math. 51, No. 4, 333-347 (2020). MSC: 34C60 34A45 34D10 92D30 PDFBibTeX XMLCite \textit{D. Ganeshan} and \textit{K. Thiruvarul Selvan}, Tamkang J. Math. 51, No. 4, 333--347 (2020; Zbl 1458.34087) Full Text: DOI
Thota, Srinivasarao; Shanmugasundaram, P. On a symbolic method for neutral functional-differential equations with proportional delays. (English) Zbl 1486.65090 Cogent Math. Stat. 7, Article ID 1813961, 13 p. (2020). MSC: 65L99 34K40 PDFBibTeX XMLCite \textit{S. Thota} and \textit{P. Shanmugasundaram}, Cogent Math. Stat. 7, Article ID 1813961, 13 p. (2020; Zbl 1486.65090) Full Text: DOI
Turgay, Neşet Deniz On the \(\mathrm{mod}p\) Steenrod algebra and the Leibniz-Hopf algebra. (English) Zbl 1453.55013 Electron. Res. Arch. 28, No. 2, 951-959 (2020). Reviewer: Rui Miguel Saramago (Porto Salvo) MSC: 55S10 16T05 57T05 PDFBibTeX XMLCite \textit{N. D. Turgay}, Electron. Res. Arch. 28, No. 2, 951--959 (2020; Zbl 1453.55013) Full Text: DOI
Radid, Atika; Rhofir, Karim Partitioning differential transformation method to a SIR epidemic model under vaccination strategy. (English) Zbl 1467.92124 Int. J. Adv. Appl. Math. Mech. 7, No. 1, 9-19 (2019). MSC: 92C60 34C20 PDFBibTeX XMLCite \textit{A. Radid} and \textit{K. Rhofir}, Int. J. Adv. Appl. Math. Mech. 7, No. 1, 9--19 (2019; Zbl 1467.92124) Full Text: Link
Makarov, V. L. Exact and approximate solutions of the spectral problems for the differential Schrödinger operator with polynomial potential in \(\mathbb{R} ^K\), \(K \geq 2\). (English. Ukrainian original) Zbl 1432.65063 J. Math. Sci., New York 240, No. 3, 289-322 (2019); translation from Neliniĭni Kolyvannya 21, No. 1, 66-98 (2018). MSC: 65H17 65H20 47A75 35J10 PDFBibTeX XMLCite \textit{V. L. Makarov}, J. Math. Sci., New York 240, No. 3, 289--322 (2019; Zbl 1432.65063); translation from Neliniĭni Kolyvannya 21, No. 1, 66--98 (2018) Full Text: DOI
Choi, Junesang; Kumar, Devendra; Singh, Jagdev; Swroop, Ram Analytical techniques for system of time fractional nonlinear differential equations. (English) Zbl 1370.34010 J. Korean Math. Soc. 54, No. 4, 1209-1229 (2017). MSC: 34A08 34A45 34C20 PDFBibTeX XMLCite \textit{J. Choi} et al., J. Korean Math. Soc. 54, No. 4, 1209--1229 (2017; Zbl 1370.34010) Full Text: Link
Enagi, Abdullah Idris; Bawa, Musa; Sani, Abdullah Muhammad Mathematical study of diabetes and its complication using the homotopy perturbation method. (English) Zbl 1397.92398 Int. J. Math. Comput. Sci. 12, No. 1, 43-63 (2017). MSC: 92C60 PDFBibTeX XMLCite \textit{A. I. Enagi} et al., Int. J. Math. Comput. Sci. 12, No. 1, 43--63 (2017; Zbl 1397.92398) Full Text: Link
Patel, Kajal K.; Mehta, M. N.; Singh, Twinkle R. A homotopy series solution to a nonlinear partial differential equation arising from a mathematical model of the counter-current imbibition phenomenon in a heterogeneous porous medium. (English) Zbl 1408.76406 Eur. J. Mech., B, Fluids 60, 119-126 (2016). MSC: 76M25 76A05 65M99 76S05 PDFBibTeX XMLCite \textit{K. K. Patel} et al., Eur. J. Mech., B, Fluids 60, 119--126 (2016; Zbl 1408.76406) Full Text: DOI
Liu, Yuming; Zhou, Guodong The Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra. (English) Zbl 1376.16008 J. Noncommut. Geom. 10, No. 3, 811-858 (2016). MSC: 16E40 16S34 20C05 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{G. Zhou}, J. Noncommut. Geom. 10, No. 3, 811--858 (2016; Zbl 1376.16008) Full Text: DOI arXiv
Usman, Muhammad; Naheed, Zertaisha; Nazir, Aqsa; Mohyud-Din, Syed Tauseef On MHD flow of an incompressible viscous fluid. (English) Zbl 1302.35014 J. Egypt. Math. Soc. 22, No. 2, 214-219 (2014). MSC: 35A25 76W05 PDFBibTeX XMLCite \textit{M. Usman} et al., J. Egypt. Math. Soc. 22, No. 2, 214--219 (2014; Zbl 1302.35014) Full Text: DOI
Liu, Yinping HAM-based package NOPH for periodic oscillations of nonlinear dynamic systems. (English) Zbl 1301.65063 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). 309-359 (2014). MSC: 65L05 34A34 34C10 34C25 65Y15 PDFBibTeX XMLCite \textit{Y. Liu}, in: Advances in the homotopy analysis method. Hackensack, NJ: World Scientific. 309--359 (2014; Zbl 1301.65063)
Jabbari, Azizeh; Kheiri, Hossein; Yildirim, Ahmet Homotopy Padé method for solving second-order one-dimensional telegraph equation. (English) Zbl 1357.65215 Int. J. Numer. Methods Heat Fluid Flow 23, No. 7, 1192-1203 (2013). MSC: 65M99 PDFBibTeX XMLCite \textit{A. Jabbari} et al., Int. J. Numer. Methods Heat Fluid Flow 23, No. 7, 1192--1203 (2013; Zbl 1357.65215) Full Text: DOI
Wu, Wenyuan; Reid, Greg Finding points on real solution components and applications to differential polynomial systems. (English) Zbl 1360.14145 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 339-346 (2013). MSC: 14Q15 12H05 PDFBibTeX XMLCite \textit{W. Wu} and \textit{G. Reid}, in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 339--346 (2013; Zbl 1360.14145) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. P. Liu} et al., J. Symb. Comput. 55, 72--95 (2013; Zbl 1325.68292) Full Text: DOI
Galligo, André Deformation of roots of polynomials via fractional derivatives. (English) Zbl 1261.65046 J. Symb. Comput. 52, 35-50 (2013). MSC: 65H04 65D07 26A33 12D10 65E05 30C15 65H20 68W30 PDFBibTeX XMLCite \textit{A. Galligo}, J. Symb. Comput. 52, 35--50 (2013; Zbl 1261.65046) Full Text: DOI
Liu, Yinping; Liao, Shijun; Li, Zhibin A Maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations. (English) Zbl 1255.93054 J. Syst. Sci. Complex. 25, No. 3, 594-616 (2012). MSC: 93B40 93C15 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Syst. Sci. Complex. 25, No. 3, 594--616 (2012; Zbl 1255.93054) Full Text: DOI
Luo, Zhongxuan; Feng, Erbao; Hu, Wenyu Computing numerical singular points of plane algebraic curves. (English) Zbl 1265.65027 Commun. Math. Res. 28, No. 2, 146-158 (2012). MSC: 65D17 65H20 14Q05 68W30 65H04 65H10 PDFBibTeX XMLCite \textit{Z. Luo} et al., Commun. Math. Res. 28, No. 2, 146--158 (2012; Zbl 1265.65027)
Katani, R.; Shahmorad, S. A block by block method with Romberg quadrature for the system of Urysohn type Volterra integral equations. (English) Zbl 1252.65211 Comput. Appl. Math. 31, No. 1, 191-203 (2012). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 65R20 45D05 45G15 65D32 PDFBibTeX XMLCite \textit{R. Katani} and \textit{S. Shahmorad}, Comput. Appl. Math. 31, No. 1, 191--203 (2012; Zbl 1252.65211) Full Text: DOI Link
Yüzbaşı, Şuayip A numerical scheme for solutions of the Chen system. (English) Zbl 1245.65091 Math. Methods Appl. Sci. 35, No. 8, 885-893 (2012). MSC: 65L05 34A34 34C28 65L60 PDFBibTeX XMLCite \textit{Ş. Yüzbaşı}, Math. Methods Appl. Sci. 35, No. 8, 885--893 (2012; Zbl 1245.65091) Full Text: DOI
Chun, Changbum; Sakthivel, Rathinasamy Homotopy perturbation technique for solving two-point boundary value problems – comparison with other methods. (English) Zbl 1216.65094 Comput. Phys. Commun. 181, No. 6, 1021-1024 (2010). MSC: 65L10 34B05 34B15 PDFBibTeX XMLCite \textit{C. Chun} and \textit{R. Sakthivel}, Comput. Phys. Commun. 181, No. 6, 1021--1024 (2010; Zbl 1216.65094) Full Text: DOI
Biazar, Jafar; Ayati, Zainab A Maple program for the second kind of Volterra integral equations by homotopy perturbation method. (English) Zbl 1216.65181 Int. Math. Forum 5, No. 65-68, 3323-3326 (2010). MSC: 65R20 45D05 45A05 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{Z. Ayati}, Int. Math. Forum 5, No. 65--68, 3323--3326 (2010; Zbl 1216.65181) Full Text: Link
Taşcan, Filiz; Özer, Mehmet Naci Application of adapted homotopy perturbation method for approximate solution of Henon-Heiles system. (English) Zbl 1202.65091 Numer. Methods Partial Differ. Equations 26, No. 6, 1522-1529 (2010). MSC: 65L05 34A34 68W30 PDFBibTeX XMLCite \textit{F. Taşcan} and \textit{M. N. Özer}, Numer. Methods Partial Differ. Equations 26, No. 6, 1522--1529 (2010; Zbl 1202.65091) Full Text: DOI
Poole, Douglas; Hereman, Willy The homotopy operator method of symbolic integration by parts and inversion of divergences with applications. (English) Zbl 1193.37077 Appl. Anal. 89, No. 4, 433-455 (2010). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 37K40 35Q51 68W30 47J35 70H06 PDFBibTeX XMLCite \textit{D. Poole} and \textit{W. Hereman}, Appl. Anal. 89, No. 4, 433--455 (2010; Zbl 1193.37077) Full Text: DOI arXiv
Hesameddini, Esmail; Peyrovi, Amir Homotopy perturbation method for a modified Lotka-Volterra equation. (English) Zbl 1261.65086 J. Math. Ext. 3, No. 2, 77-88 (2009). MSC: 65L99 34A34 PDFBibTeX XMLCite \textit{E. Hesameddini} and \textit{A. Peyrovi}, J. Math. Ext. 3, No. 2, 77--88 (2009; Zbl 1261.65086) Full Text: Link
Li, Xiaoxue Exponent and cell structure of the \(\nu_1\)-periodic spectra associated to exceptional Lie groups. (English) Zbl 1223.55005 Bol. Soc. Mat. Mex., III. Ser. 15, No. 2, 201-218 (2009). Reviewer: Katsumi Shimomura (Kochi) MSC: 55P42 55S25 19L20 PDFBibTeX XMLCite \textit{X. Li}, Bol. Soc. Mat. Mex., III. Ser. 15, No. 2, 201--218 (2009; Zbl 1223.55005)
Deconinck, Bernard; Nivala, Michael Symbolic integration using homotopy methods. (English) Zbl 1182.65044 Math. Comput. Simul. 80, No. 4, 825-836 (2009). MSC: 65D30 68W30 PDFBibTeX XMLCite \textit{B. Deconinck} and \textit{M. Nivala}, Math. Comput. Simul. 80, No. 4, 825--836 (2009; Zbl 1182.65044) Full Text: DOI
Wang, Zhen; Zou, Li; Zhang, Hong-Qing Solitary solution of discrete mKdV equation by homotopy analysis method. (English) Zbl 1392.34080 Commun. Theor. Phys. 49, No. 6, 1373-1378 (2008). MSC: 34K07 35R10 39A12 65M22 PDFBibTeX XMLCite \textit{Z. Wang} et al., Commun. Theor. Phys. 49, No. 6, 1373--1378 (2008; Zbl 1392.34080) Full Text: DOI
Bendersky, Martin; Davis, Donald M. \(\nu_1\)-periodic homotopy groups of the Dwyer-Wilkerson space. (English) Zbl 1153.55013 New York J. Math. 14, 379-392 (2008). Reviewer: John F. Oprea (Cleveland) MSC: 55Q52 57T20 55N15 PDFBibTeX XMLCite \textit{M. Bendersky} and \textit{D. M. Davis}, New York J. Math. 14, 379--392 (2008; Zbl 1153.55013) Full Text: arXiv EuDML EMIS
Song, Lina; Zhang, Hongqing Application of the extended homotopy perturbation method to a kind of nonlinear evolution equations. (English) Zbl 1135.65387 Appl. Math. Comput. 197, No. 1, 87-95 (2008). MSC: 65M70 35Q53 68W30 PDFBibTeX XMLCite \textit{L. Song} and \textit{H. Zhang}, Appl. Math. Comput. 197, No. 1, 87--95 (2008; Zbl 1135.65387) Full Text: DOI
Leykin, Anton; Verschelde, Jan; Zhao, Ailing Evaluation of Jacobian matrices for Newton’s method with deflation to approximate isolated singular solutions of polynomial systems. (English) Zbl 1117.65074 Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Basel: Birkhäuser (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 269-278 (2007). MSC: 65H10 12Y05 26C10 68W30 14Q15 PDFBibTeX XMLCite \textit{A. Leykin} et al., in: Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi'an, China, July 19--21 (2005). Basel: Birkhäuser. 269--278 (2007; Zbl 1117.65074)
Hereman, W.; Deconinck, B.; Poole, L. D. Continuous and discrete homotopy operators: a theoretical approach made concrete. (English) Zbl 1120.65073 Math. Comput. Simul. 74, No. 4-5, 352-360 (2007). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65J15 65L80 65H20 PDFBibTeX XMLCite \textit{W. Hereman} et al., Math. Comput. Simul. 74, No. 4--5, 352--360 (2007; Zbl 1120.65073) Full Text: DOI arXiv
Leykin, Anton; Verschelde, Jan Interfacing with the numerical homotopy algorithms in PHCpack. (English) Zbl 1230.65061 Iglesias, Andrés (ed.) et al., Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38084-9/pbk). Lecture Notes in Computer Science 4151, 354-360 (2006). MSC: 65H20 12Y05 65Y15 PDFBibTeX XMLCite \textit{A. Leykin} and \textit{J. Verschelde}, Lect. Notes Comput. Sci. 4151, 354--360 (2006; Zbl 1230.65061) Full Text: DOI
Hereman, Willy Symbolic computation of conservation laws of nonlinear partial differential equations in multi-dimensions. (English) Zbl 1188.68364 Int. J. Quantum Chem. 106, No. 1, 278-299 (2006). MSC: 68W30 35L65 PDFBibTeX XMLCite \textit{W. Hereman}, Int. J. Quantum Chem. 106, No. 1, 278--299 (2006; Zbl 1188.68364) Full Text: DOI arXiv
Chun, Changbum Construction of Newton-like iteration methods for solving nonlinear equations. (English) Zbl 1126.65042 Numer. Math. 104, No. 3, 297-315 (2006). MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{C. Chun}, Numer. Math. 104, No. 3, 297--315 (2006; Zbl 1126.65042) Full Text: DOI
Chun, Changbum; Ham, YoonMee Newton-like iteration methods for solving non-linear equations. (English) Zbl 1092.65041 Commun. Numer. Methods Eng. 22, No. 5, 475-487 (2006). Reviewer: Jürgen Guddat (Berlin) MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{C. Chun} and \textit{Y. Ham}, Commun. Numer. Methods Eng. 22, No. 5, 475--487 (2006; Zbl 1092.65041) Full Text: DOI
Hereman, Willy; Colagrosso, Michael; Sayers, Ryan; Ringler, Adam; Deconinck, Bernard; Nivala, Michael; Hickman, Mark Continuous and discrete homotopy operators and the computation of conservation laws. (English) Zbl 1161.65376 Wang, Dongming (ed.) et al., Differential equations with symbolic computation. Basel: Birkhäuser (ISBN 3-7643-7368-7/hbk). Trends in Mathematics, 255-290 (2005). MSC: 65Y15 35A30 35Q53 35Q58 35R10 37-04 37K05 PDFBibTeX XMLCite \textit{W. Hereman} et al., in: Differential equations with symbolic computation. Basel: Birkhäuser. 255--290 (2005; Zbl 1161.65376) Full Text: DOI arXiv
Hazaveh, K.; Jeffrey, D. J.; Reid, G. J.; Watt, S. M.; Wittkopf, A. D. An exploration of homotopy solving in Maple. (English) Zbl 1047.65033 Li, Ziming (ed.) et al., Computer mathematics. Proceedings of the sixth Asian symposium (ASCM 2003), Beijing, China, April 17–19, 2003. River Edge, NJ: World Scientific (ISBN 981-238-220-8/hbk). Lect. Notes Ser. Comput. 10, 145-162 (2003). MSC: 65H10 65L05 68W30 34A34 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{K. Hazaveh} et al., Lect. Notes Ser. Comput. 10, 145--162 (2003; Zbl 1047.65033)
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. Numerical irreducible decomposition. (English) Zbl 1027.65066 Joswig, Michael (ed.) et al., Algebra, geometry, and software systems. Berlin: Springer. 109-129 (2003). Reviewer: Corina Mohorianu (Iaşi) MSC: 65H10 65Y15 12Y05 13P05 14Q15 68N30 68W30 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., in: Algebra, geometry, and software systems. Berlin: Springer. 109--129 (2003; Zbl 1027.65066)
Arkowitz, Martin; Strom, Jeffrey The group of homotopy equivalences of products of spheres and of Lie groups. (English) Zbl 1012.55006 Math. Z. 240, No. 4, 689-710 (2002). Reviewer: J.W.Rutter (Liverpool) MSC: 55P10 55P60 55S37 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{J. Strom}, Math. Z. 240, No. 4, 689--710 (2002; Zbl 1012.55006) Full Text: DOI
Kotsireas, Illias s. Homotopies and polynomial system solving. I: Basic principles. (English) Zbl 1054.65052 SIGSAM Bull. 35, No. 1, 19-32 (2001). MSC: 65H10 65H20 68W30 12Y05 26C10 PDFBibTeX XMLCite \textit{I. s. Kotsireas}, SIGSAM Bull. 35, No. 1, 19--32 (2001; Zbl 1054.65052) Full Text: DOI