Variational iteration method for solving integro-differential equations. (English) Zbl 1209.65152
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.
MSC:
| 65R99 | Numerical methods for integral equations, integral transforms |
| 45J05 | Integro-ordinary differential equations |
References:
| [1] | He, J. H., Int. J. Non-Linear Mech., 34, 4, 699 (1999) · Zbl 1342.34005 |
| [2] | He, J. H.; Wu, X. H., Chaos Solitons Fractals, 29, 1, 108 (2006) · Zbl 1147.35338 |
| [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) · Zbl 0942.76077 |
| [5] | He, J. H., Int. J. Mod. Phys. B, 20, 10, 1141 (2006) · Zbl 1102.34039 |
| [6] | Odibat, Z. M.; Momani, S., Int. J. Non-Linear Sci. Numer. Simul., 7, 1, 27 (2006) · Zbl 1401.65087 |
| [7] | Momani, S.; Odibat, Z., Chaos Solitons Fractals, 31, 5, 1248 (2007) · Zbl 1137.65450 |
| [8] | Bildik, N.; Konuralp, A., Int. J. Non-Linear Sci. Numer. Simul., 7, 1, 65 (2006) · Zbl 1401.35010 |
| [9] | Sweilam, N. H.; Khader, M. M., Chaos Solitons Fractals, 32, 1, 145 (2007) · Zbl 1131.74018 |
| [10] | Soliman, A. A., Chaos Solitons Fractals, 29, 2, 294 (2006) · Zbl 1099.35521 |
| [11] | Momani, S.; Abuasad, S., Chaos Solitons Fractals, 27, 5, 1119 (2006) · Zbl 1086.65113 |
| [12] | El-Sayed, S. M.; Kaya, D.; Zarea, S., Int. J. Non-Linear Sci. Numer. Simul., 5, 2, 105 (2004) · Zbl 1401.65149 |
| [13] | Wazwaz, A., Appl. Math. Comput., 127, 2-3, 405 (2002) · Zbl 1023.65142 |
| [14] | Al-Khaled, K.; Allan, F., J. Appl. Math. Comput., 19, 415 (2005) · Zbl 1082.65138 |
| [15] | El-Shahed, M., Int. J. Non-Linear Sci. Numer. Simul., 6, 2, 163 (2005) · Zbl 1401.65150 |
| [16] | Maleknejad, K.; Mahmoudi, Y., Appl. Math. Comput., 145, 2-3, 641 (2003) · Zbl 1032.65144 |
| [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. 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.
