Ball analysis for an efficient sixth convergence order-scheme under weaker conditions
In this study we consider an efficient sixth order-scheme for solving Banach space valued equations. The convergence criteria in earlier studies involve higher order derivatives limiting applicability of these methods. In this study we use the first derivative only in our analysis to expand the us...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2021-06-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1132048 |
| Summary: | In this study we consider an efficient sixth order-scheme for solving Banach space valued equations. The
convergence criteria in earlier studies involve higher order derivatives limiting applicability of these methods.
In this study we use the first derivative only in our analysis to expand the usage of these schemes. The
technique we use can be used on other schemes to obtain the same advantages. Numerical experiments
compare favorably our results to earlier ones. |
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| ISSN: | 2587-2648 |