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NEW FAMILY OF ITERATIVE METHODS FOR SOLVING NON-LINEAR EQUATIONS USING NEW ADOMIAN POLYNOMIALS
Arif Rafiq,Ayesha Inam Pasha,이병수 한국수학교육학회 2015 純粹 및 應用數學 Vol.22 No.3
We suggest and analyze a family of multi-step iterative methods for solving nonlinear equations using the decomposition technique mainly due to Ra¯q et al. [13].
SOME MULTI-STEP ITERATIVE SCHEMES FOR SOLVING NONLINEAR EQUATIONS
Arif Rafiq,Ayesha Inam Pasha,이병수 한국수학교육학회 2013 純粹 및 應用數學 Vol.20 No.4
In this paper, we suggest and analyze a family of multi-step iterative methods which do not involve the high-order differentials of the function for solving nonlinear equations using a different type of decomposition (mainly due to Noor and Noor [15]). We also discuss the convergence of the new proposed methods. Several numerical examples are given to illustrate the efficiency and the performance of the new iterative method. Our results can be considered as an improvement and refinement of the previous results.