A reliable modification of Adomian decomposition method
Applied Mathematics and Computation
Homotopy perturbation method for solving sixth-order boundary value problems
Computers & Mathematics with Applications
Convergence of Adomian's method applied to nonlinear equations
Mathematical and Computer Modelling: An International Journal
Decomposition methods: A new proof of convergence
Mathematical and Computer Modelling: An International Journal
Computers & Mathematics with Applications
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In this paper, the Adomian decomposition method with Green's function is applied to solve linear and nonlinear sixth-order boundary value problems. The numerical results obtained with a small amount of computation are compared with the exact solutions to show the efficiency of the method. The results show that the decomposition method is of high accuracy, more convenient and efficient for solving high-order boundary value problems.