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Zbl 1141.65399
Sweilam, N.H.
Fourth order integro-differential equations using variational iteration method. (English)
[J] Comput. Math. Appl. 54, No. 7-8, 1086-1091 (2007). ISSN 0898-1221

Summary: The variational iteration method is applied to solve both linear and nonlinear boundary value problems for fourth order integro-differential equations. The numerical results obtained with minimum amount of computation are compared with the exact solutions to show the efficiency of the method. The results show that the variational iteration method is of high accuracy, more convenient and efficient for solving integro-differential equations.

MSC 2000:: *65R20 Integral equations (numerical methods)
45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations

Keywords: fourth order integro-differential equations; variational iteration method; nonlinear boundary value problems; numerical results

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Zentralblatt MATH Berlin [Germany]