Fourth order integro-differential equations using variational iteration method

Computers and Mathematics with Applications

Volumn 54, Issue 7-8, 2007, Pages 1086-1091

  Sweilam, N H ^a  

^a CAIRO UNIVERSITY   (Egypt)

Author keywords

Fourth order integro differential equations; Variational iteration method

Indexed keywords

COMPUTATION THEORY; INTEGRAL EQUATIONS; ITERATIVE METHODS; NUMERICAL METHODS; PROBLEM SOLVING;

FOURTH ORDER INTEGRO-DIFFERENTIAL EQUATIONS; VARIATIONAL ITERATION METHOD;

BOUNDARY VALUE PROBLEMS;

EID: 34748865371     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.12.055     Document Type: Article

References (17)

1. Kythe P.K., and Puri P. Computational methods for linear integral equations (2002), University of New Orlans, New Orlans
2. A.M. Wazwaz, A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations, Applied Mathematics and Computation (in press)
3. He J.H. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 20 10 (2006) 1141-1199
4. He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Computer Methods in Applied Mechanics and Engineering 167 (1998) 57-68
5. He J.H. Approximate solution of nonlinear differential equations with convolution product nonlinearities. Computer Methods in Applied Mechanics and Engineering 167 (1998) 69-73
6. He J.H. Variational iteration method - a kind of non-linear analytical technique: Some examples. International Journal of Non-Linear Mechanics 34 (1999) 699-708
7. He J.H., Wan Y.Q., and Guo Q. An iteration formulation for normalized diode characteristics. International Journal of Circuit Theory and Applications 32 (2004) 629-632
8. He J.H. Variational iteration method for autonomous ordinary differential systems. Applied Mathematics and Computation 114 (2000) 115-123
9. He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos, Solitons and Fractals 29 1 (2006) 108-113
10. J.H. He, Non-perturbative methods for strongly nonlinear problems, dissertation.de-Verlag im Internet GmbH, Berlin, 2006
11. Abdou M.A., and Soliman A.A. New applications of variational iteration method. Physica D 211 (2005) 1-8
12. Abdou M.A., and Soliman A.A. Variational iteration method for solving Burger's and coupled Burger's equations. Journal of Computational and Applied Mathematics (2004) 1-7
13. Abulwafa E.M., Abdou M.A., and Mahmoud A.A. The solution of nonlinear coagulation problem with mass loss. Chaos, Solitons and Fractals 29 (2006) 313-330
14. N.H. Sweilam, M.M. Khader, Variational iteration method for one dimensional nonlinear thermoelasticity, Chaos, Solitons and Fractals (in press)
15. Hashim I. Adomian decomposition method for solving BVPs for fourth-order integro-differential equations. Journal of Computational and Applied Mathematics 193 (2006) 658-664
16. Wazwaz A.M. A reliable algorithm for solving boundary value problems for higher-order integro-differential equation. Applied Mathematics and Computation 118 (2001) 327-342
17. Agarwal R.B. Boundary Value Problems for High Ordinary Differential Equations (1986), World Scientific, Singapore