Yu, Zhan-Hua Variational iteration method for solving the multi – pantograph delay equation. (English) Zbl 1225.34024 Phys. Lett., A 372, No. 43, 6475-6479 (2008). Summary: In this Letter, the variational iteration method is applied to solve the multi-pantograph delay equation. Sufficient conditions are given to assure the convergence of the method. Examples show that the method is effective. Cited in 41 Documents MSC: 34A45 Theoretical approximation of solutions to ordinary differential equations 65K10 Numerical optimization and variational techniques 65L05 Numerical methods for initial value problems involving ordinary differential equations Keywords:variational iteration method; multi – pantograph equation; delay equation; convergence analysis PDFBibTeX XMLCite \textit{Z.-H. Yu}, Phys. Lett., A 372, No. 43, 6475--6479 (2008; Zbl 1225.34024) Full Text: DOI References: [1] He, J. H., Comput. Methods Appl. Mech. Eng., 167, 57 (1998) [2] He, J. H., Int. J. Nonlinear Mech., 34, 4, 699 (1999) [3] He, J. H., Int. J. Mod. Phys. B, 20, 10, 1141 (2006) [4] He, J. H., J. Comput. Appl. Math., 207, 1, 3 (2007) [5] He, J. H.; Wu, X. H., Comput. Math. Appl., 54, 881 (2007) [6] He, J. H., Appl. Math. Comput., 118, 2-3, 115 (2000) [7] He, J. H.; Wu, X. H., Chaos Solitons Fractals, 29, 108 (2006) [8] Wazwaz, A. M., Chaos Solitons Fractals, 37, 1136 (2008) [9] Mokhtari, R., Int. J. Nonlinear Sci. Numer., 9, 19 (2008) [10] Ozer, H., Int. J. Nonlinear Sci. Numer., 9, 25 (2008) [11] Ozer, H., Int. J. Nonlinear Sci. Numer., 8, 513 (2007) [12] Yusufoglu, E., Int. J. Nonlinear Sci. Numer., 8, 153 (2007) [13] Odibat, Z. M.; Momani, S., Int. J. Nonlinear Sci. Numer., 7, 1, 27 (2006) [14] Wang, S. Q.; He, J. H., Phys. Lett. A, 367, 188 (2007) [15] Sezer, M.; Yalcinbas, S.; Sahin, N., J. Comput. Appl. Math., 214, 406 (2008) [16] Keskin, Y., Int. J. Nonlinear Sci. Numer., 8, 159 (2007) [17] Liu, M. Z.; Li, D. S., Appl. Math. Comput., 155, 853 (2004) [18] Liu, M. Z.; Yang, Z. W.; Xu, Y., Math. Comput., 75, 1201 (2006) [19] Li, D.; Liu, M. Z., Appl. Math. Comput., 163, 383 (2005) [20] Muroya, Y.; Ishiwata, E.; Brunner, H., J. Comput. Appl. Math., 152, 347 (2003) [21] Evens, D. J.; Raslan, K. R., Int. J. Comput. Math., 82, 1, 49 (2005) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.