| 000 | 01871aab a2200253 4500 | ||
|---|---|---|---|
| 008 | 240117b20232023|||gr||| |||| 00| 0 eng d | ||
| 022 | _a2304-716x | ||
| 100 |
_aMahesar, Sara. _9879982 |
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| 100 |
_aShaikh, Muhammad Mujtaba. _9679912 |
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| 100 |
_aChandio, Muhammad Saleem. _9879983 |
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| 100 |
_aShaikh, Abdul Wasim. _9678803 |
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| 245 | _aHeronian Mean Derivative-Based Open Newton-Cotes Quadrature Rules | ||
| 300 | _a31-46 p. | ||
| 520 | _aA Novel family of open Newton-Cotes (ONC) formulas is devised for evaluating the definite integrals. The new family is developed by using the Heronian mean in the first-order derivatives of the integrand within the interval [a,b]. the devised Heronian mean derivative-based quadrature rules (HRMDONC) achieve two orders of accuracy enhancement over the conventional ONC quadrature rules. these formulas are derived using the idea of degree of precision. theorems regarding the degree of precision and order of accuracy are also derived along with the local and global error terms. in addition, the computational order of accuracy of each method is computed confirming the theoretical results. computational cost and absolute error drops are also determined for three different integrals from the literature which demonstrate the superiority of the proposed HRMDONC methods over the classical ONC. | ||
| 650 |
_aOpen Newton-Cotes Rules _9879984 |
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| 650 |
_aHeronian Mean _9879985 |
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| 650 |
_aDerivative-Based Errors _9879986 |
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| 650 |
_aPrecision _9133899 |
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| 650 |
_aAccuracy _9678822 |
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| 650 |
_aDefinite Integrals _9247676 |
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| 773 | 0 |
_x10233873 _tNED University Journal of Research Formerly NED University Journal of Engineering Research _dKarachi, Pakistan : NED University of Engineering and Technology |
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| 856 | _uhttps://dio.org/10.35453/NEDJR-ASCN-2023-0028.R1 | ||
| 942 |
_2ddc _n0 _cART _o14993 _pMr. Muhammad Rafique Al Haj Rajab Ali (Late) |
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| 999 |
_c814737 _d814737 |
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