Indian Journal of Science and Technology

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Direct Application of Kantorovich's Method in BVP


Affiliations
1 Department of Mathematics, Bharath Institute of Science & Technology, Bharath University, Selaiyur, Chennai - 600073, Tamil Nadu, India
 

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)
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  • Direct Application of Kantorovich's Method in BVP

Abstract Views: 195  |  PDF Views: 0

Authors

J. Evangeline Cicelia
Department of Mathematics, Bharath Institute of Science & Technology, Bharath University, Selaiyur, Chennai - 600073, Tamil Nadu, India

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)



DOI: https://doi.org/10.17485/ijst%2F2014%2Fv7iS3%2F50346