Solution Analysis of A 3rd Order Initial Value Problem
C. Bala Rama Krishna1, S. Vishwa Prasad Rao2, G. Anusha3
1C. Bala Rama Krishna, Department of Humanities and Science, S R Engineering College, Warangal.
2S. Vishwa Prasad Rao, Department of Humanities and Science, S R Engineering College, Warangal.
4G. Anusha, Department of Humanities and Science, S R Engineering College, Warangal.
Manuscript received on 05 March 2019 | Revised Manuscript received on 12 March 2019 | Manuscript published on 30 July 2019 | PP: 3784-3789 | Volume-8 Issue-2, July 2019 | Retrieval Number: B3484078219/19©BEIESP | DOI: 10.35940/ijrte.B3484.078219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this article, we have used DT Method (Differential Transform Method) and Numerical Differentiation Method to solve a third order initial value problem Y”’ = f (x. y). We observed that the solutions by these methods are very close to the exact solution. The methods have been demonstrated and hence the superiority of the ND Method is observed. A numerical example is illustrated by using DT and ND methods and the results were compared with exact solution.
Index Terms: DT Method, Absolute stability, Multi – Step Method, Numerical Differentiation
Scope of the Article: Smart Solutions – Wearable Sensors and Smart Glasses