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Homotopy Analysis Method for Solving Eighth Order Boundary Value Problems

Hymavathi T*, P.Vijay Kumar and W.Sridhar

Department of Mathematics, Adikavi Nannaya University, Rajahmundry, A.P., India. e-mail: talla.hymavathianur@gmail.com

 

ABSTRACT

In this article, homotopy analysis method (HAM) is demonstrated  to solve eighth order boundary value problems. HAM solution contains an auxiliary parameter ‘h’ which provides a convenient way to control the convergence region of the series solutions. Numerical examples are considered to check the efficiency of the method. Comparisons are made to confirm the reliability and accuracy of the technique.

Keywords: Boundary value problem, Series solution, Error estimate, Homotopy Analysis Method.

 

 

 


International eJournal of Mathematics and Engineering

Volume 5, Issue 1, Pages:  2333 - 2339