Shah, Kamal; Khalil, Hammad; Yildirim, Ahmet On a hybrid technique to handle analytical and approximate solutions of linear and nonlinear fractional order partial differential equations. (English) Zbl 1430.35261 Appl. Appl. Math. 14, No. 2, 910-925 (2019). MSC: 35R11 44A10 35C10 PDFBibTeX XMLCite \textit{K. Shah} et al., Appl. Appl. Math. 14, No. 2, 910--925 (2019; Zbl 1430.35261) Full Text: Link
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
Jabbari, A.; Kheiri, H.; Yildirim, A. Homotopy analysis and homotopy Padé methods for \((1+1)\) and \((2+1)\)-dimensional dispersive long wave equations. (English) Zbl 1357.65214 Int. J. Numer. Methods Heat Fluid Flow 23, No. 4, 692-706 (2013). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{A. Jabbari} et al., Int. J. Numer. Methods Heat Fluid Flow 23, No. 4, 692--706 (2013; Zbl 1357.65214) Full Text: DOI
Vanani, S. Karimi; Yildirim, A.; Soleymani, F.; Khan, M.; Tutkun, S. Solution of the heat equation in the cast-mould heterogeneous domain using a weighted algorithm based on the homotopy perturbation method. (English) Zbl 1357.65226 Int. J. Numer. Methods Heat Fluid Flow 23, No. 3, 451-459 (2013). MSC: 65M99 PDFBibTeX XMLCite \textit{S. K. Vanani} et al., Int. J. Numer. Methods Heat Fluid Flow 23, No. 3, 451--459 (2013; Zbl 1357.65226) Full Text: DOI
Raftari, Behrouz; Khosravi, Heidar; Yildirim, Ahmet Homotopy analysis method for the one-dimensional hyperbolic telegraph equation with initial conditions. (English) Zbl 1356.35090 Int. J. Numer. Methods Heat Fluid Flow 23, No. 2, 355-372 (2013). MSC: 35C10 35L20 PDFBibTeX XMLCite \textit{B. Raftari} et al., Int. J. Numer. Methods Heat Fluid Flow 23, No. 2, 355--372 (2013; Zbl 1356.35090) Full Text: DOI
Nazari-Golshan, A.; Nourazar, S. S.; Ghafoori-Fard, H.; Yildirim, A.; Campo, A. A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations. (English) Zbl 1308.65134 Appl. Math. Lett. 26, No. 10, 1018-1025 (2013). MSC: 65L99 PDFBibTeX XMLCite \textit{A. Nazari-Golshan} et al., Appl. Math. Lett. 26, No. 10, 1018--1025 (2013; Zbl 1308.65134) Full Text: DOI
Vazquez-Leal, H.; Marin-Hernandez, A.; Khan, Y.; Yıldırım, A.; Filobello-Nino, U.; Castaneda-Sheissa, R.; Jimenez-Fernandez, V. M. Exploring collision-free path planning by using homotopy continuation methods. (English) Zbl 1366.70011 Appl. Math. Comput. 219, No. 14, 7514-7532 (2013). MSC: 70E60 PDFBibTeX XMLCite \textit{H. Vazquez-Leal} et al., Appl. Math. Comput. 219, No. 14, 7514--7532 (2013; Zbl 1366.70011) Full Text: DOI
Kumar, Sunil; Yildirim, A.; Khan, Y.; Jafari, H.; Sayevand, K.; Wei, L. Analytical solution of fractional Black-Scholes European option pricing equation by using Laplace transform. (English) Zbl 1488.91167 J. Fract. Calc. Appl. 2, Article 8, 9 p. (2012). MSC: 91G80 91G20 34A08 26A33 PDFBibTeX XMLCite \textit{S. Kumar} et al., J. Fract. Calc. Appl. 2, Article 8, 9 p. (2012; Zbl 1488.91167) Full Text: Link
Yildirim, Ahmet; Koçak, Hüseyin An efficient technique for solving the Blaszak-Marciniak lattice by combining homotopy perturbation and Padé techniques. (English) Zbl 1359.65103 Int. J. Comput. Methods 9, No. 2, Article ID 1240024, 16 p. (2012). MSC: 65L03 34A33 34A45 41A21 PDFBibTeX XMLCite \textit{A. Yildirim} and \textit{H. Koçak}, Int. J. Comput. Methods 9, No. 2, Article ID 1240024, 16 p. (2012; Zbl 1359.65103) Full Text: DOI
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 PDFBibTeX XMLCite \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
Madani, M.; Khan, Yasir; Mahmodi, Gh.; Faraz, Naeem; Yildirim, Ahmet; Nasernejad, B. Application of homotopy perturbation and numerical methods to the circular porous slider. (English) Zbl 1356.76205 Int. J. Numer. Methods Heat Fluid Flow 22, No. 6, 705-717 (2012). MSC: 76M20 76S05 PDFBibTeX XMLCite \textit{M. Madani} et al., Int. J. Numer. Methods Heat Fluid Flow 22, No. 6, 705--717 (2012; Zbl 1356.76205) Full Text: DOI
Yıldırım, Ahmet; Koçak, Hüseyin Rational approximation solution of the foam drainage equation with time- and space-fractional derivatives. (English) Zbl 1356.76263 Int. J. Numer. Methods Heat Fluid Flow 22, No. 4, 512-525 (2012). MSC: 76M25 65K10 35R11 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{H. Koçak}, Int. J. Numer. Methods Heat Fluid Flow 22, No. 4, 512--525 (2012; Zbl 1356.76263) Full Text: DOI
Gupta, Praveen Kumar; Yildirim, A.; Rai, K. N. Application of He’s homotopy perturbation method for multi-dimensional fractional Helmholtz equation. (English) Zbl 1357.65189 Int. J. Numer. Methods Heat Fluid Flow 22, No. 4, 424-435 (2012). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{P. K. Gupta} et al., Int. J. Numer. Methods Heat Fluid Flow 22, No. 4, 424--435 (2012; Zbl 1357.65189) Full Text: DOI
Sadigh Behzadi, Sh.; Yildirim, A. Numerical solution of LR fuzzy Hunter-Saxton equation by using homotopy analysis method. (Numerical solution of LR fuzzy Hunter-Saxeton equation by using homotopy analysis method.) (English) Zbl 1304.65233 J. Appl. Anal. Comput. 2, No. 1, 1-10 (2012). MSC: 65M99 PDFBibTeX XMLCite \textit{Sh. Sadigh Behzadi} and \textit{A. Yildirim}, J. Appl. Anal. Comput. 2, No. 1, 1--10 (2012; Zbl 1304.65233)
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)
Javidi, M.; Yildirim, A. New fifth-order iterative method for nonlinear algebraic equations. (English) Zbl 1267.65050 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 19, No. 3, 323-334 (2012). MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{M. Javidi} and \textit{A. Yildirim}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 19, No. 3, 323--334 (2012; Zbl 1267.65050) Full Text: Link
Mohyud-Din, S. T.; Yıldırım, A. An algorithm for solving the fractional vibration equation. (English) Zbl 1283.74020 Comput. Math. Model. 23, No. 2, 228-237 (2012). MSC: 74H15 74H45 26A33 PDFBibTeX XMLCite \textit{S. T. Mohyud-Din} and \textit{A. Yıldırım}, Comput. Math. Model. 23, No. 2, 228--237 (2012; Zbl 1283.74020) Full Text: DOI
Sayevand, Khosro; Golbabai, Ahmad; Yildirim, Ahmet Analysis of differential equations of fractional order. (English) Zbl 1252.34007 Appl. Math. Modelling 36, No. 9, 4356-4364 (2012). MSC: 34A08 34A45 PDFBibTeX XMLCite \textit{K. Sayevand} et al., Appl. Math. Modelling 36, No. 9, 4356--4364 (2012; Zbl 1252.34007) Full Text: DOI
Khan, Yasir; Wu, Qingbiao; Faraz, Naeem; Yildirim, A.; Madani, M. A new fractional analytical approach via a modified Riemann-Liouville derivative. (English) Zbl 1251.65101 Appl. Math. Lett. 25, No. 10, 1340-1346 (2012). MSC: 65L05 34A08 34A34 PDFBibTeX XMLCite \textit{Y. Khan} et al., Appl. Math. Lett. 25, No. 10, 1340--1346 (2012; Zbl 1251.65101) Full Text: DOI
Khan, Yasir; Faraz, Naeem; Kumar, Sunil; Yildirim, Ahmet A coupling method of homotopy perturbation and Laplace transformation for fractional models. (English) Zbl 1245.65143 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 74, No. 1, 57-68 (2012). MSC: 65M99 44A10 26A33 35R11 35A22 PDFBibTeX XMLCite \textit{Y. Khan} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 74, No. 1, 57--68 (2012; Zbl 1245.65143)
Vanani, Solat Karimi; Yıldırım, Ahmet; Soleymani, F.; Khan, M. A numerical algorithm for solving nonlinear delay Volterra integral equations by means of homotopy perturbation method. (English) Zbl 1401.65154 Int. J. Nonlinear Sci. Numer. Simul. 12, No. 1-8, 15-21 (2011). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{S. K. Vanani} et al., Int. J. Nonlinear Sci. Numer. Simul. 12, No. 1--8, 15--21 (2011; Zbl 1401.65154) Full Text: DOI
Yıldırım, Ahmet; Yağmur; Gülkanat Numerical solutions of wave equations subject to an integral conservation condition by He’s homotopy perturbation method. (English) Zbl 1247.35066 Int. J. Mod. Phys. B 25, No. 32, 4457-4469 (2011). MSC: 35L05 35B06 35B20 PDFBibTeX XMLCite \textit{A. Yıldırım} et al., Int. J. Mod. Phys. B 25, No. 32, 4457--4469 (2011; Zbl 1247.35066) Full Text: DOI
Koçak, H.; Yıldırım, A.; Zhang, D. H.; Mohyud-Din, S. T. The comparative Boubaker polynomials expansion scheme (BPES) and homotopy perturbation method (HPM) for solving a standard nonlinear second-order boundary value problem. (English) Zbl 1225.65080 Math. Comput. Modelling 54, No. 1-2, 417-422 (2011). MSC: 65L99 34E10 PDFBibTeX XMLCite \textit{H. Koçak} et al., Math. Comput. Modelling 54, No. 1--2, 417--422 (2011; Zbl 1225.65080) Full Text: DOI
Khan, Yasir; Wu, Qingbiao; Faraz, Naeem; Yildirim, Ahmet The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet. (English) Zbl 1222.76014 Comput. Math. Appl. 61, No. 11, 3391-3399 (2011). MSC: 76A20 65L99 PDFBibTeX XMLCite \textit{Y. Khan} et al., Comput. Math. Appl. 61, No. 11, 3391--3399 (2011; Zbl 1222.76014) Full Text: DOI
Madani, Mohammad; Fathizadeh, Mahdi; Khan, Yasir; Yildirim, Ahmet On the coupling of the homotopy perturbation method and Laplace transformation. (English) Zbl 1219.65121 Math. Comput. Modelling 53, No. 9-10, 1937-1945 (2011). MSC: 65M99 44A10 PDFBibTeX XMLCite \textit{M. Madani} et al., Math. Comput. Modelling 53, No. 9--10, 1937--1945 (2011; Zbl 1219.65121) Full Text: DOI
Yıldırım, Ahmet; Odabaşı, Meryem The homotopy perturbation method for solving the linear and the nonlinear Goursat problems. (English) Zbl 1222.65113 Int. J. Numer. Methods Biomed. Eng. 27, No. 7, 1139-1148 (2011). MSC: 65M70 35K55 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{M. Odabaşı}, Int. J. Numer. Methods Biomed. Eng. 27, No. 7, 1139--1148 (2011; Zbl 1222.65113) Full Text: DOI
Yıldırım, Ahmet; Sezer, Sefa Anıl; Kaplan, Yasemin Analytical approach to Boussinesq equation with space- and time-fractional derivatives. (English) Zbl 1221.65267 Int. J. Numer. Methods Fluids 66, No. 10, 1315-1324 (2011). MSC: 65M70 PDFBibTeX XMLCite \textit{A. Yıldırım} et al., Int. J. Numer. Methods Fluids 66, No. 10, 1315--1324 (2011; Zbl 1221.65267) Full Text: DOI
Raftari, Behrouz; Yildirim, Ahmet Series solution of a nonlinear ODE arising in magnetohydrodynamic by HPM-Padé technique. (English) Zbl 1217.76055 Comput. Math. Appl. 61, No. 6, 1676-1681 (2011). MSC: 76M25 76W05 65L99 PDFBibTeX XMLCite \textit{B. Raftari} and \textit{A. Yildirim}, Comput. Math. Appl. 61, No. 6, 1676--1681 (2011; Zbl 1217.76055) Full Text: DOI
Kelleci, Alev; Yıldırım, Ahmet An efficient numerical method for solving coupled Burgers’ equation by Combining homotopy perturbation and Padé techniques. (English) Zbl 1219.65108 Numer. Methods Partial Differ. Equations 27, No. 4, 982-995 (2011). MSC: 65M70 65M12 35Q53 35K05 PDFBibTeX XMLCite \textit{A. Kelleci} and \textit{A. Yıldırım}, Numer. Methods Partial Differ. Equations 27, No. 4, 982--995 (2011; Zbl 1219.65108) Full Text: DOI
Kelleci, Alev; Yıldırım, Ahmet Numerical solution of the system of nonlinear ordinary differential equations arising in kinetic modeling of lactic acid fermentation and epidemic model. (English) Zbl 1215.92022 Int. J. Numer. Methods Biomed. Eng. 27, No. 4, 585-594 (2011). MSC: 92C45 92C37 37N25 PDFBibTeX XMLCite \textit{A. Kelleci} and \textit{A. Yıldırım}, Int. J. Numer. Methods Biomed. Eng. 27, No. 4, 585--594 (2011; Zbl 1215.92022) Full Text: DOI
Das, S.; Vishal, K.; Gupta, P. K.; Yildirim, A. An approximate analytical solution of time-fractional telegraph equation. (English) Zbl 1216.65135 Appl. Math. Comput. 217, No. 18, 7405-7411 (2011). MSC: 65M70 35L20 35R11 PDFBibTeX XMLCite \textit{S. Das} et al., Appl. Math. Comput. 217, No. 18, 7405--7411 (2011; Zbl 1216.65135) Full Text: DOI
Yıldırım, Ahmet; Gülkanat, Yağmur Homotopy perturbation method to obtain new solitary solutions with compact support for Boussinesq-like \(B(2n, 2n)\) equations with fully nonlinear dispersion. (English) Zbl 1207.65119 Int. J. Numer. Methods Fluids 65, No. 6, 699-706 (2011). MSC: 65M70 35Q35 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{Y. Gülkanat}, Int. J. Numer. Methods Fluids 65, No. 6, 699--706 (2011; Zbl 1207.65119) Full Text: DOI
Yildirim, A.; Mohyud-Din, S. T.; Berberler, M. E. Semi-analytical approach to the shock wave equation. (English) Zbl 1360.65256 J. Numer. Math. Stoch. 2, No. 1, 34-44 (2010). MSC: 65M99 65Z05 PDFBibTeX XMLCite \textit{A. Yildirim} et al., J. Numer. Math. Stoch. 2, No. 1, 34--44 (2010; Zbl 1360.65256) Full Text: Link
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet Solution of tenth and ninth-order boundary value problems by homotopy perturbation method. (English) Zbl 1242.65145 J. Korean Soc. Ind. Appl. Math. 14, No. 1, 17-27 (2010). MSC: 65L10 34B15 65L70 PDFBibTeX XMLCite \textit{S. T. Mohyud-Din} and \textit{A. Yildirim}, J. Korean Soc. Ind. Appl. Math. 14, No. 1, 17--27 (2010; Zbl 1242.65145)
Yıldırım, Ahmet; Gülkanat, Yağmur Analytical approach to fractional Zakharov-Kuznetsov equations by He’s homotopy perturbation method. (English) Zbl 1218.35196 Commun. Theor. Phys. 53, No. 6, 1005-1010 (2010). MSC: 35Q51 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{Y. Gülkanat}, Commun. Theor. Phys. 53, No. 6, 1005--1010 (2010; Zbl 1218.35196) Full Text: DOI
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Hosseini, Syed Mohammad Mahdi Numerical comparison of methods for Hirota-Satsuma model. (English) Zbl 1205.65289 Appl. Appl. Math. 5, No. 10, 1554-1563 (2010). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{S. T. Mohyud-Din} et al., Appl. Appl. Math. 5, No. 2, 1554--1563 (2010; Zbl 1205.65289) Full Text: Link
Yıldırım, Ahmet; Gülkanat, Yaǧmur Reliable analysis for the nonlinear fractional calculus model of the semilunar heart valve vibrations. (English) Zbl 1205.92009 Int. J. Numer. Methods Biomed. Eng. 26, No. 12, 1515-1521 (2010). MSC: 92C30 05C05 35A25 35Q92 35C99 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{Y. Gülkanat}, Int. J. Numer. Methods Biomed. Eng. 26, No. 12, 1515--1521 (2010; Zbl 1205.92009) Full Text: DOI
Sezer, Sefa Anıl; Yıldırım, Ahmet A numerical treatment for the solution of the hydromagnetic peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube. (English) Zbl 1323.76131 Int. J. Numer. Methods Biomed. Eng. 26, No. 12, 1503-1514 (2010). MSC: 76Z05 92C35 PDFBibTeX XMLCite \textit{S. A. Sezer} and \textit{A. Yıldırım}, Int. J. Numer. Methods Biomed. Eng. 26, No. 12, 1503--1514 (2010; Zbl 1323.76131) Full Text: DOI
Yıldırım, Ahmet He’s homotopy perturbation method for solving the space- and time-fractional telegraph equations. (English) Zbl 1206.65239 Int. J. Comput. Math. 87, No. 13, 2998-3006 (2010); correction ibid. 98, No. 5, 1070 (2021). MSC: 65M70 35R11 35L20 PDFBibTeX XMLCite \textit{A. Yıldırım}, Int. J. Comput. Math. 87, No. 13, 2998--3006 (2010; Zbl 1206.65239) Full Text: DOI
Yıldırım, Ahmet; Sezer, Sefa Anıl Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel. (English) Zbl 1201.76318 Math. Comput. Modelling 52, No. 3-4, 618-625 (2010). MSC: 76W05 65M99 76Z05 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{S. A. Sezer}, Math. Comput. Modelling 52, No. 3--4, 618--625 (2010; Zbl 1201.76318) Full Text: DOI
Ateş, İnan; Yıldırım, Ahmet Comparison between variational iteration method and homotopy perturbation method for linear and nonlinear partial differential equations with the nonhomogeneous initial conditions. (English) Zbl 1202.65126 Numer. Methods Partial Differ. Equations 26, No. 6, 1581-1593 (2010). MSC: 65M70 35G10 35G25 35L15 35J25 PDFBibTeX XMLCite \textit{İ. Ateş} and \textit{A. Yıldırım}, Numer. Methods Partial Differ. Equations 26, No. 6, 1581--1593 (2010; Zbl 1202.65126) Full Text: DOI
Raftari, Behrouz; Yildirim, Ahmet The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets. (English) Zbl 1198.65148 Comput. Math. Appl. 59, No. 10, 3328-3337 (2010). MSC: 65L99 76M25 76W05 PDFBibTeX XMLCite \textit{B. Raftari} and \textit{A. Yildirim}, Comput. Math. Appl. 59, No. 10, 3328--3337 (2010; Zbl 1198.65148) Full Text: DOI
Yıldırım, Ahmet Application of the homotopy perturbation method for the Fokker – Planck equation. (English) Zbl 1200.65085 Int. J. Numer. Methods Biomed. Eng. 26, No. 9, 1144-1154 (2010). MSC: 65M70 35Q84 PDFBibTeX XMLCite \textit{A. Yıldırım}, Int. J. Numer. Methods Biomed. Eng. 26, No. 9, 1144--1154 (2010; Zbl 1200.65085) Full Text: DOI
Yıldırım, Ahmet; Ünlü, Canan; Mohyud-Din, Syed Tauseef Exact solitary-wave special solutions for the nonlinear dispersive \(K(m,n)\) equations by means of the homotopy analysis method. (English) Zbl 1201.35075 Appl. Appl. Math., Spec. Iss. 1, 82-93 (2010). MSC: 35C07 35C09 35C10 35A25 PDFBibTeX XMLCite \textit{A. Yıldırım} et al., Appl. Appl. Math., 82--93 (2010; Zbl 1201.35075) Full Text: Link
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet Latest developments in nonlinear sciences. (English) Zbl 1197.65155 Appl. Appl. Math., Spec. Iss. 1, 46-72 (2010). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{S. T. Mohyud-Din} and \textit{A. Yildirim}, Appl. Appl. Math., 46--72 (2010; Zbl 1197.65155) Full Text: Link
Yildirim, Ahmet; Berberler, Murat Erşen Homotopy perturbation method for numerical solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations. (English) Zbl 1197.65160 Numer. Methods Partial Differ. Equations 26, No. 5, 1040-1053 (2010). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{A. Yildirim} and \textit{M. E. Berberler}, Numer. Methods Partial Differ. Equations 26, No. 5, 1040--1053 (2010; Zbl 1197.65160) Full Text: DOI
Yıldırım, Ahmet; Sezer, Sefa Anıl Non-perturbative solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk. (English) Zbl 1197.35198 Math. Methods Appl. Sci. 33, No. 11, 1298-1305 (2010). MSC: 35Q30 35A20 76D05 76M45 41A21 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{S. A. Sezer}, Math. Methods Appl. Sci. 33, No. 11, 1298--1305 (2010; Zbl 1197.35198) Full Text: DOI
Yıldırım, Ahmet; Momani, Shaher Series solutions of a fractional oscillator by means of the homotopy perturbation method. (English) Zbl 1191.65089 Int. J. Comput. Math. 87, No. 5, 1072-1082 (2010). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{S. Momani}, Int. J. Comput. Math. 87, No. 5, 1072--1082 (2010; Zbl 1191.65089) Full Text: DOI
Momani, Shaher; Yıldırım, Ahmet Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He’s homotopy perturbation method. (English) Zbl 1192.65137 Int. J. Comput. Math. 87, No. 5, 1057-1065 (2010); correction ibid. 98, No. 6, 1291 (2021). MSC: 65M70 26A33 35R11 35K55 35C10 PDFBibTeX XMLCite \textit{S. Momani} and \textit{A. Yıldırım}, Int. J. Comput. Math. 87, No. 5, 1057--1065 (2010; Zbl 1192.65137) Full Text: DOI
Yıldırım, Ahmet He’s homotopy perturbation method for nonlinear differential-difference equations. (English) Zbl 1192.65102 Int. J. Comput. Math. 87, No. 5, 992-996 (2010); correction ibid. 98, No. 5, 1069 (2021). MSC: 65L05 65L03 34K28 PDFBibTeX XMLCite \textit{A. Yıldırım}, Int. J. Comput. Math. 87, No. 5, 992--996 (2010; Zbl 1192.65102) Full Text: DOI
Koçak, Hüseyin; Yıldırım, Ahmet Numerical solution of 3D Green’s function for the dynamic system of anisotropic elasticity. (English) Zbl 1233.74003 Phys. Lett., A 373, No. 35, 3145-3150 (2009). MSC: 74B20 74E10 74J30 35J08 65M80 PDFBibTeX XMLCite \textit{H. Koçak} and \textit{A. Yıldırım}, Phys. Lett., A 373, No. 35, 3145--3150 (2009; Zbl 1233.74003) Full Text: DOI
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet Homotopy perturbation method for solving systems of partial differential equations. (English) Zbl 1185.35005 Asian-Eur. J. Math. 2, No. 4, 657-665 (2009). MSC: 35A25 35A15 35C10 35C05 PDFBibTeX XMLCite \textit{S. T. Mohyud-Din} and \textit{A. Yildirim}, Asian-Eur. J. Math. 2, No. 4, 657--665 (2009; Zbl 1185.35005) Full Text: DOI
Yildirim, Ahmet Exact solitary-wave solutions for the nonlinear dispersive \(K(2,2,1)\) and \(K(3,3,1)\) equations by the homotopy perturbation method. (English) Zbl 1185.35214 Mod. Phys. Lett. B 23, No. 30, 3667-3675 (2009). MSC: 35Q51 35C10 35A30 PDFBibTeX XMLCite \textit{A. Yildirim}, Mod. Phys. Lett. B 23, No. 30, 3667--3675 (2009; Zbl 1185.35214) Full Text: DOI
Yildirim, Ahmet On the solution of the nonlinear Korteweg-de Vries equation by the homotopy perturbation method. (English) Zbl 1179.65135 Commun. Numer. Methods Eng. 25, No. 12, 1127-1136 (2009). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{A. Yildirim}, Commun. Numer. Methods Eng. 25, No. 12, 1127--1136 (2009; Zbl 1179.65135) Full Text: DOI
Koçak, Hüseyin; Yıldırım, Ahmet Series solution for a delay differential equation arising in electrodynamics. (English) Zbl 1177.78059 Commun. Numer. Methods Eng. 25, No. 11, 1084-1096 (2009). MSC: 78M30 78M25 PDFBibTeX XMLCite \textit{H. Koçak} and \textit{A. Yıldırım}, Commun. Numer. Methods Eng. 25, No. 11, 1084--1096 (2009; Zbl 1177.78059) Full Text: DOI
Yıldırım, Ahmet Application of he’s homotopy perturbation method for solving the Cauchy reaction-diffusion problem. (English) Zbl 1165.65398 Comput. Math. Appl. 57, No. 4, 612-618 (2009). MSC: 65M99 PDFBibTeX XMLCite \textit{A. Yıldırım}, Comput. Math. Appl. 57, No. 4, 612--618 (2009; Zbl 1165.65398) Full Text: DOI
Yıldırım, Ahmet The solutions of Bratu-type problems by He’s homotopy perturbation method. (English) Zbl 1168.65370 J. Appl. Funct. Anal. 4, No. 2, 265-272 (2009). MSC: 65L15 34L16 34L30 PDFBibTeX XMLCite \textit{A. Yıldırım}, J. Appl. Funct. Anal. 4, No. 2, 265--272 (2009; Zbl 1168.65370)
Yıldırım, Ahmet Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method. (English) Zbl 1165.65377 Comput. Math. Appl. 56, No. 12, 3175-3180 (2008). MSC: 65L99 45J05 PDFBibTeX XMLCite \textit{A. Yıldırım}, Comput. Math. Appl. 56, No. 12, 3175--3180 (2008; Zbl 1165.65377) Full Text: DOI
Öziş, Turgut; Yıldırım, Ahmet Comparison between Adomian’s method and He’s homotopy perturbation method. (English) Zbl 1155.65344 Comput. Math. Appl. 56, No. 5, 1216-1224 (2008). MSC: 65J15 PDFBibTeX XMLCite \textit{T. Öziş} and \textit{A. Yıldırım}, Comput. Math. Appl. 56, No. 5, 1216--1224 (2008; Zbl 1155.65344) Full Text: DOI
Öziş, Turgut; Yildirim, Ahmet Determination of limit cycles by iterated homotopy perturbation method for nonlinear oscillators with strong nonlinearity. (English) Zbl 1364.34020 Topol. Methods Nonlinear Anal. 31, No. 2, 349-357 (2008). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A45 34C15 34C25 34C60 37C15 PDFBibTeX XMLCite \textit{T. Öziş} and \textit{A. Yildirim}, Topol. Methods Nonlinear Anal. 31, No. 2, 349--357 (2008; Zbl 1364.34020)
Yıldırım, Ahmet; Öziş, Turgut Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method. (English) Zbl 1209.65120 Phys. Lett., A 369, No. 1-2, 70-76 (2007). MSC: 65M99 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{T. Öziş}, Phys. Lett., A 369, No. 1--2, 70--76 (2007; Zbl 1209.65120) Full Text: DOI