Approximate solutions to a parameterized sixth order boundary value problem

Authors:
Songxin Liang;David J. Jeffrey
Affiliations:
Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada, N6A 5B7;Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada, N6A 5B7
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 3
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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.