Kuang, Jao-Hwa; Chen, Chao-Jung Adomian decomposition method used for solving nonlinear pull-in behavior in electrostatic micro-actuators. (English) Zbl 1180.78015 Math. Comput. Modelling 41, No. 13, 1479-1491 (2005). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 78A30 78A55 78M25 PDFBibTeX XMLCite \textit{J.-H. Kuang} and \textit{C.-J. Chen}, Math. Comput. Modelling 41, No. 13, 1479--1491 (2005; Zbl 1180.78015) Full Text: DOI
Pamuk, Serdal Solution of the porous media equation by Adomian’s decomposition method. (English) Zbl 1194.65148 Phys. Lett., A 344, No. 2-4, 184-188 (2005). MSC: 65N99 35K57 76S05 80A20 PDFBibTeX XMLCite \textit{S. Pamuk}, Phys. Lett., A 344, No. 2--4, 184--188 (2005; Zbl 1194.65148) Full Text: DOI
Copetti, M. I. M.; Krein, G.; Machado, J. M.; De Carvalho, R. S. Marques Studying nonlinear effects on the early stage of phase ordering using a decomposition method. (English) Zbl 1136.65341 Phys. Lett., A 338, No. 3-5, 232-238 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{M. I. M. Copetti} et al., Phys. Lett., A 338, No. 3--5, 232--238 (2005; Zbl 1136.65341) Full Text: DOI arXiv
Attia, G. M.; El-Kalla, I. L.; Madkour, S. E. Convergence of Adomian’s method applied to second kind nonlinear Fredholm integral equations. (English) Zbl 1134.65370 Int. J. Appl. Math. 18, No. 4, 417-428 (2005). MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{G. M. Attia} et al., Int. J. Appl. Math. 18, No. 4, 417--428 (2005; Zbl 1134.65370)
Saleh, M.; El-Saeidy, M.; El-Kalla, I.; Hammad, D. Application of Adomian method to nonlinear systems of ordinary differential equations. (English) Zbl 1125.65329 Int. J. Differ. Equ. Appl. 10, No. 3, 283-293 (2005). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{M. Saleh} et al., Int. J. Differ. Equ. Appl. 10, No. 3, 283--293 (2005; Zbl 1125.65329)
Kıymaz, Onur; Mirasyedioğlu, Şeref A new symbolic computational approach to singular initial value problems in the second-order ordinary differential equations. (English) Zbl 1090.65085 Appl. Math. Comput. 171, No. 2, 1218-1225 (2005). MSC: 65L05 34A34 68W30 PDFBibTeX XMLCite \textit{O. Kıymaz} and \textit{Ş. Mirasyedioğlu}, Appl. Math. Comput. 171, No. 2, 1218--1225 (2005; Zbl 1090.65085) Full Text: DOI
Kaya, Doğan; El-Sayed, Salah M. A numerical implementation of the decomposition method for the Lienard equation. (English) Zbl 1091.65071 Appl. Math. Comput. 171, No. 2, 1095-1103 (2005). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{D. Kaya} and \textit{S. M. El-Sayed}, Appl. Math. Comput. 171, No. 2, 1095--1103 (2005; Zbl 1091.65071) Full Text: DOI
Biazar, J.; Amirtaimoori, A. R. An analytic approximation to the solution of heat equation by Adomian decomposition method and restrictions of the method. (English) Zbl 1090.65118 Appl. Math. Comput. 171, No. 2, 738-745 (2005). MSC: 65M70 35K15 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{A. R. Amirtaimoori}, Appl. Math. Comput. 171, No. 2, 738--745 (2005; Zbl 1090.65118) Full Text: DOI
Dehghan, Mehdi; Tatari, Mehdi Solution of a parabolic equation with a time-dependent coefficient and an extra measurement using the decomposition procedure of Adomian. (English) Zbl 1102.65127 Phys. Scr. 72, No. 6, 425-431 (2005). Reviewer: Yves Cherruault (Paris) MSC: 65N99 35F30 35K20 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Tatari}, Phys. Scr. 72, No. 6, 425--431 (2005; Zbl 1102.65127) Full Text: DOI
Famelis, I. Th.; Bratsos, A. G. On the solution of the cubic nonlinear Schrödinger equation. (English) Zbl 1088.65580 Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 175-178 (2005). MSC: 65M70 65M12 35Q55 PDFBibTeX XMLCite \textit{I. Th. Famelis} and \textit{A. G. Bratsos}, in: ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16--20, 2005. Weinheim: Wiley-VCH. 175--178 (2005; Zbl 1088.65580)
Biazar, J.; Ilie, M.; Khoshkenar, A. A new approach to the solution of the prey and predator problem and comparison of the results with the Adomian method. (English) Zbl 1084.65068 Appl. Math. Comput. 171, No. 1, 486-491 (2005). MSC: 65L05 34A34 92D25 PDFBibTeX XMLCite \textit{J. Biazar} et al., Appl. Math. Comput. 171, No. 1, 486--491 (2005; Zbl 1084.65068) Full Text: DOI
Al-Khaled, Kamel; Momani, Shaher; Alawneh, Ahmed Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations. (English) Zbl 1084.65097 Appl. Math. Comput. 171, No. 1, 281-292 (2005). MSC: 65M70 35Q53 65M12 35Q51 PDFBibTeX XMLCite \textit{K. Al-Khaled} et al., Appl. Math. Comput. 171, No. 1, 281--292 (2005; Zbl 1084.65097) Full Text: DOI
Chun, Changbum Iterative methods improving Newton’s method by the decomposition method. (English) Zbl 1086.65048 Comput. Math. Appl. 50, No. 10-12, 1559-1568 (2005). Reviewer: Vasile Berinde (Baia Mare) MSC: 65H05 PDFBibTeX XMLCite \textit{C. Chun}, Comput. Math. Appl. 50, No. 10--12, 1559--1568 (2005; Zbl 1086.65048) Full Text: DOI
Inc, Mustafa Decomposition method for solving parabolic equations in finite domains. (English) Zbl 1088.35503 J. Zhejiang Univ., Sci. 6A, No. 10, 1058-1064 (2005). MSC: 35A35 35K20 35A25 65M06 PDFBibTeX XMLCite \textit{M. Inc}, J. Zhejiang Univ., Sci. 6A, No. 10, 1058--1064 (2005; Zbl 1088.35503) Full Text: DOI
Deeba, Elias; Yoon, Jeong-Mi; Zayed, Ahmed I. A comparison between the Adomian decomposition and the sinc-Galerkin methods for solving nonlinear boundary-value problems. (English) Zbl 1083.65096 J. Comput. Anal. Appl. 7, No. 1, 5-19 (2005). MSC: 65M70 65M60 65T60 65L60 34B15 65L10 PDFBibTeX XMLCite \textit{E. Deeba} et al., J. Comput. Anal. Appl. 7, No. 1, 5--19 (2005; Zbl 1083.65096)
Al-Hayani, Waleed; Casasús, Luis Approximate analytical solution of fourth order boundary value problems. (English) Zbl 1079.65083 Numer. Algorithms 40, No. 1, 67-78 (2005). MSC: 65L10 65L60 34B15 PDFBibTeX XMLCite \textit{W. Al-Hayani} and \textit{L. Casasús}, Numer. Algorithms 40, No. 1, 67--78 (2005; Zbl 1079.65083) Full Text: DOI
Kaya, D.; Bulut, H.; Inc, M. Numerical study of a Klein-Gordon equation by the Adomian’s decomposition method. (English) Zbl 1080.65099 Hadronic J. 28, No. 3, 311-318 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{D. Kaya} et al., Hadronic J. 28, No. 3, 311--318 (2005; Zbl 1080.65099)
Momani, Shaher An explicit and numerical solutions of the fractional KdV equation. (English) Zbl 1119.65394 Math. Comput. Simul. 70, No. 2, 110-118 (2005). MSC: 65M70 35Q53 26A33 PDFBibTeX XMLCite \textit{S. Momani}, Math. Comput. Simul. 70, No. 2, 110--118 (2005; Zbl 1119.65394) Full Text: DOI
Al-Khaled, Kamel Numerical solutions of the Laplace’s equation. (English) Zbl 1103.65336 Appl. Math. Comput. 170, No. 2, 1271-1283 (2005). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{K. Al-Khaled}, Appl. Math. Comput. 170, No. 2, 1271--1283 (2005; Zbl 1103.65336) Full Text: DOI
Al-Khaled, Kamel; Allan, Fathi Decomposition method for solving nonlinear integro-differential equations. (English) Zbl 1082.65138 J. Appl. Math. Comput. 19, No. 1-2, 415-425 (2005). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{K. Al-Khaled} and \textit{F. Allan}, J. Appl. Math. Comput. 19, No. 1--2, 415--425 (2005; Zbl 1082.65138) Full Text: DOI
Geyikli, Turabi; Kaya, Doğan Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation. (English) Zbl 1121.65353 Appl. Math. Comput. 169, No. 1, 146-156 (2005). MSC: 65M60 65M70 35Q53 65M12 35Q51 PDFBibTeX XMLCite \textit{T. Geyikli} and \textit{D. Kaya}, Appl. Math. Comput. 169, No. 1, 146--156 (2005; Zbl 1121.65353) Full Text: DOI
Luo, Xing-Guo A two-step Adomian decomposition method. (English) Zbl 1082.65581 Appl. Math. Comput. 170, No. 1, 570-583 (2005). MSC: 65M70 35L60 65L60 45B05 34A30 65R20 45G10 PDFBibTeX XMLCite \textit{X.-G. Luo}, Appl. Math. Comput. 170, No. 1, 570--583 (2005; Zbl 1082.65581) Full Text: DOI
Abbasbandy, S.; Darvishi, M. T. A numerical solution of Burger’s equation by time discretization of Adomian’s decomposition method. (English) Zbl 1082.65576 Appl. Math. Comput. 170, No. 1, 95-102 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{M. T. Darvishi}, Appl. Math. Comput. 170, No. 1, 95--102 (2005; Zbl 1082.65576) Full Text: DOI
Inc, Mustafa On numerical solutions of one-dimensional nonlinear Burgers’ equation and convergence of the decomposition method. (English) Zbl 1082.65106 Appl. Math. Comput. 170, No. 1, 76-85 (2005). Reviewer: Natesan Srinivasan (Assam) MSC: 65M70 65M12 35Q53 PDFBibTeX XMLCite \textit{M. Inc}, Appl. Math. Comput. 170, No. 1, 76--85 (2005; Zbl 1082.65106) Full Text: DOI
Geyikli, Turabi; Kaya, Doǧan An application for a modified KdV equation by the decomposition method and finite element method. (English) Zbl 1082.65575 Appl. Math. Comput. 169, No. 2, 971-981 (2005). MSC: 65M60 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{T. Geyikli} and \textit{D. Kaya}, Appl. Math. Comput. 169, No. 2, 971--981 (2005; Zbl 1082.65575) Full Text: DOI
Attili, Basem S. The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems. (English) Zbl 1082.65557 Appl. Math. Comput. 168, No. 2, 1306-1316 (2005). MSC: 65L15 34L16 PDFBibTeX XMLCite \textit{B. S. Attili}, Appl. Math. Comput. 168, No. 2, 1306--1316 (2005; Zbl 1082.65557) Full Text: DOI
Biazar, J. Solution of systems of integral-differential equations by Adomian decomposition method. (English) Zbl 1082.65594 Appl. Math. Comput. 168, No. 2, 1232-1238 (2005). MSC: 65R20 PDFBibTeX XMLCite \textit{J. Biazar}, Appl. Math. Comput. 168, No. 2, 1232--1238 (2005; Zbl 1082.65594) Full Text: DOI
Kaya, Doǧan; Inan, Ibrahim E. A numerical application of the decomposition method for the combined KdV-MKdV equation. (English) Zbl 1080.65100 Appl. Math. Comput. 168, No. 2, 915-926 (2005). Reviewer: Yves Cherruault (Paris) MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{D. Kaya} and \textit{I. E. Inan}, Appl. Math. Comput. 168, No. 2, 915--926 (2005; Zbl 1080.65100) Full Text: DOI
Saha Ray, S.; Bera, R. K. Analytical solution of the Bagley-Torvik equation by Adomian decomposition method. (English) Zbl 1109.65072 Appl. Math. Comput. 168, No. 1, 398-410 (2005). MSC: 65L99 26A33 34A08 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{R. K. Bera}, Appl. Math. Comput. 168, No. 1, 398--410 (2005; Zbl 1109.65072) Full Text: DOI
Gordon, Michael S. A decomposition method for a semilinear boundary value problem with a quadratic nonlinearity. (English) Zbl 1077.35066 Int. J. Math. Math. Sci. 2005, No. 6, 855-861 (2005). MSC: 35K60 35A35 35A25 35C10 PDFBibTeX XMLCite \textit{M. S. Gordon}, Int. J. Math. Math. Sci. 2005, No. 6, 855--861 (2005; Zbl 1077.35066) Full Text: DOI EuDML
El-Sayed, Salah M.; Kaya, Doǧan Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations. (English) Zbl 1082.65580 Appl. Math. Comput. 167, No. 2, 1339-1349 (2005). MSC: 65M70 35L75 65M12 PDFBibTeX XMLCite \textit{S. M. El-Sayed} and \textit{D. Kaya}, Appl. Math. Comput. 167, No. 2, 1339--1349 (2005; Zbl 1082.65580) Full Text: DOI
Babolian, E.; Vahidi, A. R.; Cordshooli, Gh. Asadi Solving differential equations by decomposition method. (English) Zbl 1082.65560 Appl. Math. Comput. 167, No. 2, 1150-1155 (2005). MSC: 65L60 65L05 34A34 PDFBibTeX XMLCite \textit{E. Babolian} et al., Appl. Math. Comput. 167, No. 2, 1150--1155 (2005; Zbl 1082.65560) Full Text: DOI
Mahmood, Afrah Saad; Casasús, Luis; Al-Hayani, Waleed The decomposition method for stiff systems of ordinary differential equations. (English) Zbl 1082.65561 Appl. Math. Comput. 167, No. 2, 964-975 (2005). MSC: 65L60 65L05 34A30 34A34 PDFBibTeX XMLCite \textit{A. S. Mahmood} et al., Appl. Math. Comput. 167, No. 2, 964--975 (2005; Zbl 1082.65561) Full Text: DOI
Ray, S. Saha; Bera, R. K. An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method. (English) Zbl 1082.65562 Appl. Math. Comput. 167, No. 1, 561-571 (2005). MSC: 65L60 65L05 34A34 26A33 PDFBibTeX XMLCite \textit{S. S. Ray} and \textit{R. K. Bera}, Appl. Math. Comput. 167, No. 1, 561--571 (2005; Zbl 1082.65562) Full Text: DOI
Saley, Bisso; Some, Blaise Numerical solutions of the optimal control problem for a diffusion model. (Résolution numérique de contrôle optimal d’un modéle de diffusion.) (French) Zbl 1106.49044 Afr. Mat., Sér. III 16, 87-104 (2005). Reviewer: Yves Cherruault (Paris) MSC: 49M27 35K57 65M55 92C50 PDFBibTeX XMLCite \textit{B. Saley} and \textit{B. Some}, Afr. Mat., Sér. III 16, 87--104 (2005; Zbl 1106.49044)
Inc, M.; Cherruault, Y. A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations. (English) Zbl 1117.65369 Kybernetes 34, No. 7-8, 1034-1048 (2005). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{M. Inc} and \textit{Y. Cherruault}, Kybernetes 34, No. 7--8, 1034--1048 (2005; Zbl 1117.65369) Full Text: DOI
Abbasbandy, S. A new decomposition method based on infinite products. (English) Zbl 1117.65329 Kybernetes 34, No. 7-8, 1027-1033 (2005). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Kybernetes 34, No. 7--8, 1027--1033 (2005; Zbl 1117.65329) Full Text: DOI
Inc, M.; Cherruault, Y. A comparison of numerical solutions of fourth-order boundary value problems. (English) Zbl 1117.65347 Kybernetes 34, No. 7-8, 960-968 (2005). MSC: 65L10 65L60 34B15 34B05 PDFBibTeX XMLCite \textit{M. Inc} and \textit{Y. Cherruault}, Kybernetes 34, No. 7--8, 960--968 (2005; Zbl 1117.65347) Full Text: DOI
Inc, M.; Cherruault, Y. A reliable approach to the Korteweg-de Vries equation. (English) Zbl 1117.65358 Kybernetes 34, No. 7-8, 951-959 (2005). MSC: 65M70 65M12 35Q53 PDFBibTeX XMLCite \textit{M. Inc} and \textit{Y. Cherruault}, Kybernetes 34, No. 7--8, 951--959 (2005; Zbl 1117.65358) Full Text: DOI
Bektas, M.; Inc, M.; Cherruault, Y. Geometrical interpretation and approximate solution of nonlinear KdV equation. (English) Zbl 1079.35085 Kybernetes 34, No. 7-8, 941-950 (2005). MSC: 35Q53 35C10 PDFBibTeX XMLCite \textit{M. Bektas} et al., Kybernetes 34, No. 7--8, 941--950 (2005; Zbl 1079.35085) Full Text: DOI
Inc, M.; Ergüt, M.; Cherruault, Y. A different approach for solving singular two-point boundary value problems. (English) Zbl 1117.65348 Kybernetes 34, No. 7-8, 934-940 (2005). MSC: 65L10 34B16 65L60 PDFBibTeX XMLCite \textit{M. Inc} et al., Kybernetes 34, No. 7--8, 934--940 (2005; Zbl 1117.65348) Full Text: DOI
Benneouala, Titem; Cherruault, Yves; Abbaoui, Karim New methods for applying the Adomian method to partial differential equations with boundary conditions. (English) Zbl 1117.65356 Kybernetes 34, No. 7-8, 924-933 (2005). MSC: 65M70 35K55 PDFBibTeX XMLCite \textit{T. Benneouala} et al., Kybernetes 34, No. 7--8, 924--933 (2005; Zbl 1117.65356) Full Text: DOI
Wazwaz, Abdul-Majid The modified decomposition method for analytic treatment of non-linear integral equations and systems of non-linear integral equations. (English) Zbl 1075.65155 Int. J. Comput. Math. 82, No. 9, 1107-1115 (2005). MSC: 65R20 45G10 45G15 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Int. J. Comput. Math. 82, No. 9, 1107--1115 (2005; Zbl 1075.65155) Full Text: DOI
Grzymkowski, Radosław; Słota, Damian Stefan problem solved by Adomian decomposition method. (English) Zbl 1075.65126 Int. J. Comput. Math. 82, No. 7, 851-856 (2005). MSC: 65M70 35K05 35R35 80A22 PDFBibTeX XMLCite \textit{R. Grzymkowski} and \textit{D. Słota}, Int. J. Comput. Math. 82, No. 7, 851--856 (2005; Zbl 1075.65126) Full Text: DOI
Wazwaz, Abdul-Majid Adomian decomposition method for a reliable treatment of the Bratu-type equations. (English) Zbl 1073.65068 Appl. Math. Comput. 166, No. 3, 652-663 (2005). MSC: 65L10 65L05 34A34 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 166, No. 3, 652--663 (2005; Zbl 1073.65068) Full Text: DOI
Wazwaz, Abdul-Majid Analytical solution for the time-dependent Emden–Fowler type of equations by Adomian decomposition method. (English) Zbl 1073.65105 Appl. Math. Comput. 166, No. 3, 638-651 (2005). MSC: 65M70 35K55 65L05 65M12 65L20 34A34 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 166, No. 3, 638--651 (2005; Zbl 1073.65105) Full Text: DOI
Yan, Zhenya Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method. (English) Zbl 1073.65106 Appl. Math. Comput. 166, No. 3, 571-583 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{Z. Yan}, Appl. Math. Comput. 166, No. 3, 571--583 (2005; Zbl 1073.65106) Full Text: DOI
Kaya, Doǧan An implementation of the ADM for generalized one-dimensional Klein-Gordon equation. (English) Zbl 1074.65118 Appl. Math. Comput. 166, No. 2, 426-433 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 166, No. 2, 426--433 (2005; Zbl 1074.65118) Full Text: DOI
Zhu, Yonggui; Gao, Xiashoan A new algorithm to compute the Adomian polynomials. (Chinese. English summary) Zbl 1073.65109 J. Syst. Sci. Math. Sci. 25, No. 1, 18-28 (2005). MSC: 65M70 35K90 60H15 65C30 PDFBibTeX XMLCite \textit{Y. Zhu} and \textit{X. Gao}, J. Syst. Sci. Math. Sci. 25, No. 1, 18--28 (2005; Zbl 1073.65109)
Abdou, M. A.; Soliman, A. A. Variational iteration method for solving Burgers and coupled Burgers equations. (English) Zbl 1072.65127 J. Comput. Appl. Math. 181, No. 2, 245-251 (2005). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{M. A. Abdou} and \textit{A. A. Soliman}, J. Comput. Appl. Math. 181, No. 2, 245--251 (2005; Zbl 1072.65127) Full Text: DOI
Al-Khaled, Kamel; Momani, Shaher An approximate solution for a fractional diffusion-wave equation using the decomposition method. (English) Zbl 1071.65135 Appl. Math. Comput. 165, No. 2, 473-483 (2005). MSC: 65M70 35K55 35K05 26A33 35L05 PDFBibTeX XMLCite \textit{K. Al-Khaled} and \textit{S. Momani}, Appl. Math. Comput. 165, No. 2, 473--483 (2005; Zbl 1071.65135) Full Text: DOI
Momani, Shaher Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method. (English) Zbl 1070.65105 Appl. Math. Comput. 165, No. 2, 459-472 (2005). MSC: 65M70 35K55 35L70 26A33 PDFBibTeX XMLCite \textit{S. Momani}, Appl. Math. Comput. 165, No. 2, 459--472 (2005; Zbl 1070.65105) Full Text: DOI
Kaya, Doǧan On experimental results and explicit exact solutions for the generalized Boussinesq type equation. (English) Zbl 1070.65101 Appl. Math. Comput. 165, No. 2, 303-311 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 165, No. 2, 303--311 (2005; Zbl 1070.65101) Full Text: DOI
Babolian, E.; Davari, A. Numerical implementation of Adomian decomposition method for linear Volterra integral equations of the second kind. (English) Zbl 1070.65134 Appl. Math. Comput. 165, No. 1, 223-227 (2005). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{E. Babolian} and \textit{A. Davari}, Appl. Math. Comput. 165, No. 1, 223--227 (2005; Zbl 1070.65134) Full Text: DOI
Zhang, Xinhua A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems. (English) Zbl 1070.65067 J. Comput. Appl. Math. 180, No. 2, 377-389 (2005). MSC: 65L10 65L60 34B16 PDFBibTeX XMLCite \textit{X. Zhang}, J. Comput. Appl. Math. 180, No. 2, 377--389 (2005; Zbl 1070.65067) Full Text: DOI
Kaya, Doǧan; Yokus, Asif A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations. (English) Zbl 1070.65102 Appl. Math. Comput. 164, No. 3, 857-864 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{D. Kaya} and \textit{A. Yokus}, Appl. Math. Comput. 164, No. 3, 857--864 (2005; Zbl 1070.65102) Full Text: DOI
Kaya, Doǧan An application for the higher order modified KdV equation by decomposition method. (English) Zbl 1070.35061 Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 693-702 (2005). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{D. Kaya}, Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 693--702 (2005; Zbl 1070.35061) Full Text: DOI
Lesnic, D. Decomposition methods for nonlinear, non-characteristic Cauchy heat problems. (English) Zbl 1072.35087 Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 581-596 (2005). MSC: 35K55 35R25 35K15 PDFBibTeX XMLCite \textit{D. Lesnic}, Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 581--596 (2005; Zbl 1072.35087) Full Text: DOI
Pamuk, Serdal An application for linear and nonlinear heat equations by Adomian’s decomposition method. (English) Zbl 1060.65653 Appl. Math. Comput. 163, No. 1, 89-96 (2005). MSC: 65M70 35K57 35K05 92E20 PDFBibTeX XMLCite \textit{S. Pamuk}, Appl. Math. Comput. 163, No. 1, 89--96 (2005; Zbl 1060.65653) Full Text: DOI
Pamuk, Serdal The decomposition method for continuous population models for single and interacting species. (English) Zbl 1062.92056 Appl. Math. Comput. 163, No. 1, 79-88 (2005). MSC: 92D25 65L99 PDFBibTeX XMLCite \textit{S. Pamuk}, Appl. Math. Comput. 163, No. 1, 79--88 (2005; Zbl 1062.92056) Full Text: DOI
Biazar, J.; Montazeri, R. A computational method for solution of the prey and predator problem. (English) Zbl 1060.65612 Appl. Math. Comput. 163, No. 2, 841-847 (2005). MSC: 65L05 34A34 92D25 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{R. Montazeri}, Appl. Math. Comput. 163, No. 2, 841--847 (2005; Zbl 1060.65612) Full Text: DOI
Biazar, J.; Ebrahimi, H. An approximation to the solution of hyperbolic equations by Adomian decomposition method and comparison with characteristics method. (English) Zbl 1060.65651 Appl. Math. Comput. 163, No. 2, 633-638 (2005). MSC: 65M70 65M25 35L70 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{H. Ebrahimi}, Appl. Math. Comput. 163, No. 2, 633--638 (2005; Zbl 1060.65651) Full Text: DOI
Allahviranloo, Tofigh The Adomian decomposition method for fuzzy system of linear equations. (English) Zbl 1069.65025 Appl. Math. Comput. 163, No. 2, 553-563 (2005). MSC: 65F10 08A72 PDFBibTeX XMLCite \textit{T. Allahviranloo}, Appl. Math. Comput. 163, No. 2, 553--563 (2005; Zbl 1069.65025) Full Text: DOI
Bildik, Necdet; Bayramoglu, Hatice The solution of two dimensional nonlinear differential equation by the Adomian decomposition method. (English) Zbl 1067.65106 Appl. Math. Comput. 163, No. 2, 519-524 (2005). MSC: 65M70 35L70 PDFBibTeX XMLCite \textit{N. Bildik} and \textit{H. Bayramoglu}, Appl. Math. Comput. 163, No. 2, 519--524 (2005; Zbl 1067.65106) Full Text: DOI
Abbasbandy, S.; Darvishi, M. T. A numerical solution of Burgers’ equation by modified Adomian method. (English) Zbl 1060.65649 Appl. Math. Comput. 163, No. 3, 1265-1272 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{M. T. Darvishi}, Appl. Math. Comput. 163, No. 3, 1265--1272 (2005; Zbl 1060.65649) Full Text: DOI
Tian, Lixin; Yin, Jiuli Stability of multi-compacton solutions and Bäcklund transformation in \(K(m,n,1)\). (English) Zbl 1075.37028 Chaos Solitons Fractals 23, No. 1, 159-169 (2005). MSC: 37K35 35Q53 35B35 35A30 37K40 PDFBibTeX XMLCite \textit{L. Tian} and \textit{J. Yin}, Chaos Solitons Fractals 23, No. 1, 159--169 (2005; Zbl 1075.37028) Full Text: DOI
Babolian, E.; Goghary, H. Sadeghi; Javadin, Sh.; Ghasemi, M. Restarted Adomian method for nonlinear differential equations. (English) Zbl 1066.65108 Int. J. Comput. Math. 82, No. 1, 97-102 (2005). MSC: 65M70 35K55 35L70 PDFBibTeX XMLCite \textit{E. Babolian} et al., Int. J. Comput. Math. 82, No. 1, 97--102 (2005; Zbl 1066.65108) Full Text: DOI
Evans, D. J.; Raslan, K. R. The Adomian decomposition method for solving delay differential equation. (English) Zbl 1069.65074 Int. J. Comput. Math. 82, No. 1, 49-54 (2005). Reviewer: Fuhua Ling (Milpitas) MSC: 65L05 34K28 65L60 PDFBibTeX XMLCite \textit{D. J. Evans} and \textit{K. R. Raslan}, Int. J. Comput. Math. 82, No. 1, 49--54 (2005; Zbl 1069.65074) Full Text: DOI
Inc, Mustafa; Evans, David J. Numerical study for soliton solutions of some nonlinear evolution equations. (English) Zbl 1064.65116 Int. J. Comput. Math. 82, No. 4, 469-481 (2005). MSC: 65M70 65M12 35Q51 35Q53 PDFBibTeX XMLCite \textit{M. Inc} and \textit{D. J. Evans}, Int. J. Comput. Math. 82, No. 4, 469--481 (2005; Zbl 1064.65116) Full Text: DOI
Syam, Muhammed I. Adomian decomposition method for approximating the solution of the Korteweg-deVries equation. (English) Zbl 1063.65112 Appl. Math. Comput. 162, No. 3, 1465-1473 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{M. I. Syam}, Appl. Math. Comput. 162, No. 3, 1465--1473 (2005; Zbl 1063.65112) Full Text: DOI
Momani, Shaher; Al-Khaled, Kamel Numerical solutions for systems of fractional differential equations by the decomposition method. (English) Zbl 1063.65055 Appl. Math. Comput. 162, No. 3, 1351-1365 (2005). MSC: 65L05 34A34 26A33 65L60 PDFBibTeX XMLCite \textit{S. Momani} and \textit{K. Al-Khaled}, Appl. Math. Comput. 162, No. 3, 1351--1365 (2005; Zbl 1063.65055) Full Text: DOI
Soufyane, A.; Boulmalf, M. Solution of linear and nonlinear parabolic equations by the decomposition method. (English) Zbl 1063.65111 Appl. Math. Comput. 162, No. 2, 687-693 (2005). MSC: 65M70 35K15 35K55 PDFBibTeX XMLCite \textit{A. Soufyane} and \textit{M. Boulmalf}, Appl. Math. Comput. 162, No. 2, 687--693 (2005; Zbl 1063.65111) Full Text: DOI
Kaya, Doǧan; Inan, Ibrahim E. A convergence analysis of the ADM and an application. (English) Zbl 1068.65119 Appl. Math. Comput. 161, No. 3, 1015-1025 (2005). Reviewer: Kai Schneider (Marseille) MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{D. Kaya} and \textit{I. E. Inan}, Appl. Math. Comput. 161, No. 3, 1015--1025 (2005; Zbl 1068.65119) Full Text: DOI
Sadeghi Goghary, H.; Javadi, Sh.; Babolian, E. Restarted Adomian method for system of nonlinear Volterra integral equations. (English) Zbl 1061.65148 Appl. Math. Comput. 161, No. 3, 745-751 (2005). MSC: 65R20 45G15 PDFBibTeX XMLCite \textit{H. Sadeghi Goghary} et al., Appl. Math. Comput. 161, No. 3, 745--751 (2005; Zbl 1061.65148) Full Text: DOI
Al-Khaled, Kamel Numerical approximations for population growth models. (English) Zbl 1062.65142 Appl. Math. Comput. 160, No. 3, 865-873 (2005). MSC: 65R20 45G10 92D25 PDFBibTeX XMLCite \textit{K. Al-Khaled}, Appl. Math. Comput. 160, No. 3, 865--873 (2005; Zbl 1062.65142) Full Text: DOI
Wazwaz, Abdul-Majid Adomian decomposition method for a reliable treatment of the Emden-Fowler equation. (English) Zbl 1061.65064 Appl. Math. Comput. 161, No. 2, 543-560 (2005). MSC: 65L05 34A34 65L60 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 161, No. 2, 543--560 (2005; Zbl 1061.65064) Full Text: DOI