Yazar "Khalil, E. M." seçeneğine göre listele

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    Approximation of fixed point of generalized non-expansive mapping via new faster iterative scheme in metric domain
    (Amer Inst Mathematical Sciences-Aims, 2023) Muhammad, Noor; Asghar, Ali; Irum, Samina; Akgul, Ali; Khalil, E. M.; Inc, Mustafa
    In this paper, we establish a new iterative process for approximation of fixed points for contraction mappings in closed, convex metric space. We conclude that our iterative method is more accurate and has very fast results from previous remarkable iteration methods like Picard-S, Thakur new, Vatan Two-step and K-iterative process for contraction. Stability of our iteration method and data dependent results for contraction mappings are exact, correspondingly on testing our iterative method is advanced. Finally, we prove enquiring results for some weak and strong convergence theorems of a sequence which is generated from a new iterative method, Suzuki generalized non-expansive mappings with condition (C) in uniform convexity of metric space. Our results are addition, enlargement over and above generalization for some well-known conclusions with literature for theory of fixed point.
  • [ X ]
    Öğe
    Two approximation methods for fractional order Pseudo-Parabolic differential equations
    (Elsevier, 2022) Modanli, Mahmut; Goktepe, Ecem; Akgul, Ali; Alsallami, Shami A. M.; Khalil, E. M.
    In this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation. Explicit finite difference is constructed for this partial differential equation. Stability estimates are proved for these difference schemes. Error analysis table is obtained by compared the exact and approximate solutions. Figures showing the physical properties of the exact and approximate solutions are presented. From the error tables and figures, this applied method is an good and effective method for this equation.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).