Spline Solution of Linear Seventh Order Boundary Value Problems using Tenth Degree Functions and Comparison with Different Degrees of Spline Solutions
Parcha Kalyani1, Mihretu Nigatu Lemma2, Dejene Bekele Feyisa3
1Parcha Kalyani, Department of Mathematics, Adama Science and Technology University, Ethiopia.
2Mihretu Nigatu Lemma, Department of Mathematics, Adama Science and Technology University, Ethiopia.
3Dejene Bekele Feyisa, Department of Mathematics, Adama Science and Technology University, Ethiopia.
Manuscript received on April 12, 2019. | Revised Manuscript Received on May 22, 2019. | Manuscript published on June 20, 2019. | PP: 1-4 | Volume-2 Issue-7, June 2019 | Retrieval Number: G0092052719/19©BEIESP
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Abstract: In this communication numerical solutions of general linear boundary value problems of order seven are considered. Tenth degree spline approximations are developed following Cubic Spline Bickley’s procedure and applied. Approximate numerical solutions are computed at different step lengths, and also absolute errors are calculated. The results are tabulated and pictorially illustrated. Further, the results of the tenth degree spline function solutions are compared with eighth and ninth degree spline solutions
Keywords: Spline approximations; seventh order boundary value problems; tenth degree spline; numerical results.