Wang, Shu-Qiang; He, Ji-Huan Variational iteration method for solving integro-differential equations. (English) Zbl 1209.65152 Phys. Lett., A 367, No. 3, 188-191 (2007). Summary: The variational iteration method is applied to solve integro-differential equations. Some examples are given to illustrate the effectiveness of the method, the results show that the method provides a straightforward and powerful mathematical tool for solving various integro-differential equations. Cited in 46 Documents MSC: 65R99 Numerical methods for integral equations, integral transforms 45J05 Integro-ordinary differential equations Keywords:variational iteration method; integro-differential equation PDF BibTeX XML Cite \textit{S.-Q. Wang} and \textit{J.-H. He}, Phys. Lett., A 367, No. 3, 188--191 (2007; Zbl 1209.65152) Full Text: DOI OpenURL References: [1] He, J.H., Int. J. non-linear mech., 34, 4, 699, (1999) [2] He, J.H.; Wu, X.H., Chaos solitons fractals, 29, 1, 108, (2006) [3] He, J.H., Appl. math. comput., 114, 2-3, 115, (2000) [4] He, J.H., Comput. methods appl. mech. engrg., 167, 1-2, 57, (1998) [5] He, J.H., Int. J. mod. phys. B, 20, 10, 1141, (2006) [6] Odibat, Z.M.; Momani, S., Int. J. non-linear sci. numer. simul., 7, 1, 27, (2006) [7] Momani, S.; Odibat, Z., Chaos solitons fractals, 31, 5, 1248, (2007) [8] Bildik, N.; Konuralp, A., Int. J. non-linear sci. numer. simul., 7, 1, 65, (2006) [9] Sweilam, N.H.; Khader, M.M., Chaos solitons fractals, 32, 1, 145, (2007) [10] Soliman, A.A., Chaos solitons fractals, 29, 2, 294, (2006) [11] Momani, S.; Abuasad, S., Chaos solitons fractals, 27, 5, 1119, (2006) [12] El-Sayed, S.M.; Kaya, D.; Zarea, S., Int. J. non-linear sci. numer. simul., 5, 2, 105, (2004) [13] Wazwaz, A., Appl. math. comput., 127, 2-3, 405, (2002) [14] Al-Khaled, K.; Allan, F., J. appl. math. comput., 19, 415, (2005) [15] El-Shahed, M., Int. J. non-linear sci. numer. simul., 6, 2, 163, (2005) [16] Maleknejad, K.; Mahmoudi, Y., Appl. math. comput., 145, 2-3, 641, (2003) [17] He, J.H., J. comput. appl. math., 207, 1, 3, (2007) [18] Yusufoglu, E., Int. J. non-linear sci. numer. simul., 8, 2, 152, (2007) [19] Tari, H.; Ganji, D.D.; Rostamian, M., Int. J. non-linear sci. numer. simul., 8, 2, 203, (2007) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.