Septic spline is used for the numerical solution of the sixth-order linear, special case boundary value problem. End conditions for the definition of septic spline are derived, consistent with the sixth-order boundary value problem. The algorithm developed approximates the solution and their higher-
Approximate solutions to a parameterized sixth order boundary value problem
β Scribed by Songxin Liang; David J. Jeffrey
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 569 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
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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