{"title":"Variational Iteration Method for the Solution of Boundary Value Problems","authors":"Olayiwola M.O., Gbolagade A .W., Akinpelu F. O.","volume":73,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":125,"pagesEnd":130,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/13556","abstract":"
In this work, we present a reliable framework to solve boundary value problems with particular significance in solid mechanics. These problems are used as mathematical models in deformation of beams. The algorithm rests mainly on a relatively new technique, the Variational Iteration Method. Some examples are given to confirm the efficiency and the accuracy of the method.<\/p>\r\n","references":"[1] Abulwafa E.M, Abdou M.A, Mahmoud A.A. \"Nonlinear fluid flows in\r\npipe-like domain problems using VIM \"soliton and fractals 32(4) pp.\r\n1384-1397,2007.\r\n[2] Abulwafa E.M, Abdou M.A, Mahmoud A.A. \"The solution of nonlinear\r\ncoagulation problem with mass \" soliton and Fractals. 29 (2) 313-330,\r\n2006.\r\n[3] Barari A et al. \"An approximate solution for boundary value problems in\r\nstructural Engineering and Fluid Mechanics.\" Mathematical problems in\r\nEngineering. 2008\r\n[4] Batiha B. et al \"Application of Variational Iterational method to a\r\nGeneral Riccati Equation\". 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