The Convergence of Iterative Methods for Quasi δ-Contraction Mappings
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Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
Iterative Methods for Approximation of Fixed Points Via Like Contraction Mappings
Abstract<p>The aim of this paper, is to study different iteration algorithms types two steps called, modified SP, Ishikawa, Picard-S iteration and M-iteration, which is faster than of others by using like contraction mappings. On the other hand, the M-iteration is better than of modified SP, Ishikawa and Picard-S iterations. Also, we support our analytic proof with a numerical example.</p>
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Publication Date
Wed Jul 01 2020
Journal Name
Journal Of Physics: Conference Series
A New Iterative Methods For a Family of Asymptotically Severe Mappings
Abstract<p>The aim of this paper is to introduce the concepts of asymptotically p-contractive and asymptotically severe accretive mappings. Also, we give an iterative methods (two step-three step) for finite family of asymptotically p-contractive and asymptotically severe accretive mappings to solve types of equations.</p>
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Publication Date
Mon Jan 01 2018
Journal Name
Https://medwelljournals.com/journalhome.php?jid=1816-949x
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Publication Date
Tue May 01 2018
Journal Name
Journal Of Physics: Conference Series
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Equivalence of Some Iterations for Class of Quasi Contractive Mappings
Abstract<p>In this article, we recalled different types of iterations as Mann, Ishikawa, Noor, CR-iteration and, Modified SP_iteration of quasi δ-contraction mappings, and we proved that all these iterations equivalent to approximate fixed points of δ-contraction mappings in Banach spaces.</p>
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Publication Date
Sat Jan 01 2022
Journal Name
Proceeding Of The 1st International Conference On Advanced Research In Pure And Applied Science (icarpas2021): Third Annual Conference Of Al-muthanna University/college Of Science
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Publication Date
Sun Mar 01 2020
Journal Name
Gazi University Journal Of Science
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Publication Date
Wed Jan 01 2020
Journal Name
Arab Journal Of Basic And Applied Sciences
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Publication Date
Mon Jan 20 2020
Journal Name
Kuwait Journal Of Science
Three iterative methods for solving Jeffery-Hamel flow problem
Semi-analytical method
Daftardar-Jafari method
Temimi-Ansari method
Banach contraction method
Jeffery-Hamel flow
Analytic solution.
In this article, the nonlinear problem of Jeffery-Hamel flow has been solved analytically and numerically by using reliable iterative and numerical methods. The approximate solutions obtained by using the Daftardar-Jafari method namely (DJM), Temimi-Ansari method namely (TAM) and Banach contraction method namely (BCM). The obtained solutions are discussed numerically, in comparison with other numerical solutions obtained from the fourth order Runge-Kutta (RK4), Euler and previous analytic methods available in literature. In addition, the convergence of the proposed methods is given based on the Banach fixed point theorem. The results reveal that the presented methods are reliable, effective and applicable to solve other nonlinear problems.
... Show MorePublication Date
Sun Jul 04 2021
Journal Name
Journal Of Interdisciplinary Mathematics
Comparison the solutions for some kinds of differential equations using iterative methods
This manuscript presents several applications for solving special kinds of ordinary and partial differential equations using iteration methods such as Adomian decomposition method (ADM), Variation iterative method (VIM) and Taylor series method. These methods can be applied as well as to solve nonperturbed problems and 3rd order parabolic PDEs with variable coefficient. Moreover, we compare the results using ADM, VIM and Taylor series method. These methods are a commination of the two initial conditions.
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