Approximate solutions to a parameterized sixth order boundary value problem

Approximate solutions to a parameterized sixth order boundary value problem

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Article ID: iaor20122345
Volume: 59
Issue: 1
Start Page Number: 247
End Page Number: 253
Publication Date: Jan 2010
Journal: Computers and Mathematics with Applications
Authors: ,
Keywords: topology, differential equations, homotopy method
Abstract:

In this paper, the homotopy analysis method (HAM) is applied to solve a parameterized sixth order boundary value problem which, for large parameter values, cannot be solved by other analytical methods for finding approximate series solutions. Convergent series solutions are obtained, no matter how large the value of the parameter is.

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