Direct Application of Kantorovich’s Method in BVP

J  Evangeline Cicelia

doi:10.17485/ijst/2014/v7sp3.17

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Direct Application of Kantorovich’s Method in BVP

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2014/v7sp3.17

Year: 2020, Volume: 7, Issue: Supplementary 3, Pages: 43–44

Original Article

Direct Application of Kantorovich’s Method in BVP

J. Evangeline Cicelia*

Department of Mathematics, Bharath Institute of Science & Technology, Bharath University, Selaiyur, Chennai - 600073, Tamil Nadu, India; evangelinecicelia@gmail.com

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this article a new approach of finding approximate solution as well as comparing it with its exact solution is discussed. By using Kantorovich’s method, we get approximate solution for the Boundary Value Problems (BVP) to be extremized. Also, we compare it with exact solution. This method is explained by suitable example problem.

Keywords: Approximate Solution, Exact Solution, Kantorovich’s Method, Boundary Value Problems (BVP)