In this paper, we use nonic-spline polynomial method for the numerical solution of special nonlinear sixth-order two-point boundary value problems. The main idea is to use the conditions of continuity as discretization equations for the sixth-order boundary value problem. The end conditions are deri
Septic spline solutions of sixth-order boundary value problems
โ Scribed by Shahid S. Siddiqi; Ghazala Akram
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 188 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
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-order derivatives. The method has also been proved to be second-order convergent. Three examples are considered for the numerical illustrations of the method developed. The method developed in this paper is also compared with that developed in [M.
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