A Numerical Algorithm for Newton-Cotes Open and Closed Integration Formulae Associated with Eleven Equally Spaced Points
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| Title | A Numerical Algorithm for Newton-Cotes Open and Closed Integration Formulae Associated with Eleven Equally Spaced Points |
| Authors | |
| Abstract | We know that the algorithm plays a very important role in the solution of any problem and without algorithm it is very difficult to write the program. So in this paper we have designed a new algorithm for the solution of definite integral which can´t be solved by means of Newton-Cotes closed integration formulae(Trapezoidal rule, Simpson´s 1/3 rule, Simpson´s 3/8 rule, Boole´s rule and Weddle´s rule). In this paper we have consider two integrals and solved it with the help of proposed algorithm and existing five Newton-Cotes open integration formulae, a result we have shown that the proposed algorithm is much better than the existing five Newton-Cotes open integration formulae. |
| Publisher | World Science Publisher |
| Date | 2013-01-11 |
| Source | 2166-2924 |
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