Solving a Birkhoff Interpolation Problem for (0, 1, 5) Data

Dr. Rama Nand Mishra; Dr. Akhilesh Kumar Mishra; Dr. Kulbhushan Singh; Dr. Arunesh Kumar Mishra

doi:10.54060/a2zjournals.jase.30

Authors

Dr. Rama Nand Mishra Faculty of Mathematical and Statistical Sciences, Sri Ramswaroop Memorial University, Lucknow-Deva Road, Bara-banki, Uttar Pradesh, India
Dr. Akhilesh Kumar Mishra Department of Applied Sciences, Brahma Valley College of Engineering & Research Institute, Anjaneri, Nashik, Maha-rastra, India
Dr. Kulbhushan Singh Faculty of Mathematical and Statistical Sciences, Sri Ramswaroop Memorial University, Lucknow-Deva Road, Barabanki, Uttar Pradesh, India
Dr. Arunesh Kumar Mishra Faculty of Mathematical and Statistical Sciences, Sri Ramswaroop Memorial University, Lucknow-Deva Road, Barabanki, Uttar Pradesh, India

DOI:

https://doi.org/10.54060/a2zjournals.jase.30

Keywords:

Spline function, Acidic, Birkhoff interpolation, AMS Classification: 65L10

Abstract

The following research work deals with a special type of Birkhoff’s interpolation problem in which we have 3 sets of data prescribed in the unit interval I = [0, 1]. Data values are the function value, first derivatives and fifth derivatives prescribed at nodes of the unit interval. We obtained a unique spline interpolating the given data along with the convergence problem.

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