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We propose a three-step modification of a method with an order of convergence 1+ 2$$ \sqrt{2} $$ aimed at the solution of nonlinear operator equations. We prove that the method… Click to show full abstract
We propose a three-step modification of a method with an order of convergence 1+ 2$$ \sqrt{2} $$ aimed at the solution of nonlinear operator equations. We prove that the method is convergent and estimate its error. We also perform the numerical investigation of this modification on test examples, compare the results with the base method, and make conclusions on the basis of these results. The results of verification of the method confirm the theoretical predictions.
Keywords:
three step;
order convergence;
operator equations;
nonlinear operator;
method order;
convergence sqrt
Journal Title: Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!