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Adomian decomposition method for solving BVPs for fourth-order integro-differential equations. (English) Zbl 1093.65122
Summary: The Adomian decomposition method is applied to solve both linear and nonlinear boundary value problems (BVPs) for fourth-order integro-differential equations. The numerical results obtained with minimum amount of computation or mathematics compare reasonably well with exact solutions.

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
Full Text: DOI
[1] Abbaoui, K.; Cherruault, Y., New ideas for proving convergence of decomposition methods, Comput. math. appl., 29, 103-108, (1995) · Zbl 0832.47051
[2] Adomian, G., Solving frontier problems of physics: the decomposition method, (1994), Kluwer Academic Dordrecht · Zbl 0802.65122
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[4] Wazwaz, A.M., A reliable algorithm for solving boundary value problems for higher-order integro-differential equations, Appl. math. comput., 118, 327-342, (2001) · Zbl 1023.65150
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