Comparison of Variational Iteration Decomposition Method with Optimal Homotopy Asymptotic of 12th Order Boundary Value Problems

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Author(s) 
Mukesh Grover, Dr. Arun Kumar Tomer 

KEYWORDS 
Twelfth order boundary value problems, Approximate analytical solution, Variational Iteration Decomposition Method, optimal homotopy Asymptotic method, Ordinary Differential Equations, Error Estimates


ABSTRACT 
In this work, we consider special problem consisting of twelfth order twopoint boundary value by using the Optimal Homotopy Asymptotic Method and Variational Iteration Decomposition Method. Now, we discuss the comparison in between Optimal Homotopy Asymptotic Method and Variational Iteration Decomposition Method. These proposed methods have been thoroughly tested on problems of all kinds and shows very accurate results. A numerical example is present and approximate is compared with exact solution and the error is compared with Optimal Homotopy Asymptotic Method and Variational Iteration Decomposition Method to assess the efficiency of the Optimal Homotopy Asymptotic Method at 12th order Boundary values problems.


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