IJPAM: Volume 118, No. 3 (2018)

Title

APPROXIMATE EVALUATION OF ANALYTIC FUNCTIONS
THROUGH EXTRAPOLATION

Authors

Subash Chandra Mishra$^1$, Saumya Ranjan Jena$^2$
$^{1,2}$Department of Mathematics
School of Applied Sciences
KIIT University
Bhubaneswar-751024, Odisha, INDIA

Abstract

This paper deals with the mixed quadrature rule of degree of precision eleven for the approximate evaluation of analytic functions through extrapolation. The numerical results are convergent to the exact results which have been tested by taking some suitable texts and a comparison between the results with different researchers in analytic as well as in adaptive mode and also error bounds have been determined.

History

Received: 2017-02-03
Revised: 2017-09-25
Published: April 18, 2018

AMS Classification, Key Words

AMS Subject Classification: 65D30, 65D32
Key Words and Phrases: mixed quadrature, analytic functions, degree of precision, Richardson extrapolation, error bound

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Bibliography

1
Acharya, B. P.,Dash, R. N.Compound Birkhoff-Young rule for numerical integration of analytic functions,Int.J.Math.Edu.Sci.Technol.14,(1983),1-10.

2
Birkhoff, G, Young, D. Numerical quadrature of analytic and harmonic functions J. Maths Phys, 29,(1950),217.

3
Conte,S.,Boor,C.De.Elementary Numerical Analysis,Tata Mc-GrawHill(1980).

4
Dash, R.B, Jena, S.R, Mixed quadrature of Birkhoff-Young and Weddle’s transformed rule Ind. Jou. Of Math. and Mathematical Sc.,5(1),(2009),29-32.

5
Jena,S.R. and Dash, P.Numerical treatment of analytic functions via mixed quadrature rule.Research Journal of Applied Sciences, Engineering and Technology, 10(4),(2015)

6
Lether, F.G.On Birkhoff-Young qadrature of analytic functions J.Comut.Applied.Math, 2(81),(1976).

7
Mohanty, S., Dash, R. B. A mixed quadrature rule for numerical integration of analytic functions by using Birkhoff-Young and Bools quadrature International Journal of Mathematical Science Education,3(1),(2010),31-35.

8
Pati, A., Dash, R.B. A mixed quadrature rule for numerical integration of analytic functions J. Comp. & Math. Sci.,3(5),(2012),526-529.

9
Senapati, S., Acharya, M.,Acharya, B.P. On Numerical quadrature of analytic functions Applied Mathematical Science,5(69),(2011),3411-3420.

10
Jena S.R., Meher, K., Paul, A.K. Approximation of analytic functions in adaptive environment Beni-suef Journal of Basic and Applied Sciences,3,(2016),306-309.

How to Cite?

DOI: 10.12732/ijpam.v118i3.24 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 3
Pages: 791 - 800


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