Adomian decomposition method for solving BVPs for fourth-order integro-differential equations

162 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Large deflection of cantilever beams with geometric non-linearity: Analytical and numerical approaches (2008, methodology): “Numerous BVP have been solved using Adomian decomposition method [11,12].”
Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet (2010, methodology): “Themuch simpler analytic ADMhas been successfully applied to awide class of linear andnonlinear differential equations [18–21].”
Application of the differential transformation method for the solution of the hyperchaotic Rössler system (2009, methodology): “In recent years, much attention has been devoted to the newly developed methods to construct an analytic solutions of nonlinear equation, such methods include the Adomian decomposition method [1–5], and the variational iteration method [6–8] and recently the homotopy analysis method and the homotopy”
SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS BY ADOMIAN DECOMPOSITION METHOD (2008, result): “Here our approach is similar to that employed in (Hashim 2006).”
MHD flow of a Casson fluid over an exponentially shrinking sheet (2012, methodology): “This method has been successfully applied to various interesting problems [19–25].”