학술저널
A FIFTH-ORDER IMPROVEMENT OF THE EULER-CHEBYSHEV METHOD FOR SOLVING NON-LINEAR EQUATIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 3
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2011.08437 - 447 (11 pages)
- 2
In this paper we present a new variant of the Euler-Chebyshev method for solving nonlinear equations. Analysis of convergence is given to show that the presented methods are at least ¯fth-order convergent. Several numerical examples are given to illustrate that newly presented methods can be competitive to other known ¯fth-order methods and the Newton method in the e±ciency and performance.
1. Introduction
2. Main result
3. Some special cases of order ¯ve
4. Numerical examples and conclusions
5. Conclusion
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