IJPAM: Volume 117, No. 1 (2017)

Title

MIXED QUADRATURE RULE FOR DOUBLE INTEGRALS

Authors

Arjun Singh$^1$, Saumya Ranjan Jena$^2$, Bhupati B. Mishra$^3$
$^{1,2,3}$Department of Mathematics
School of Applied Sciences
KIIT University
Bhubaneswar-751024, Odisha, INDIA

Abstract

A mixed quadrature rule of precision five for double integrals which is a linear combination of Simpson's $\frac{3}{8}th$ rule and Gauss-Legendre-2 point rule, where each constituent rule is of degree of precision three in two variables is formulated. The rule is numerically tested taking some suitable texts and the error bound is determined.

History

Received: 2016-03-23
Revised: 2017-09-25
Published: November 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 65D30, 65D31
Key Words and Phrases: mixed quadrature rule, Maclaurin's theorem, Error bound, Degree of precision

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Bibliography

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2
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How to Cite?

DOI: 10.12732/ijpam.v117i1.1 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: 2017
Volume: 117
Issue: 1
Pages: 1 - 9


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