Results 1 to 10 of about 545,959 (197)
Reproducing Kernel Method with Global Derivative
Journal of Function Spaces, 2023 Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are ...
Nourhane Attia +2 more
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An efficient reproducing kernel method for solving the Allen–Cahn equation
Applied Mathematics Letters, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing Niu, Minqiang Xu, Guangming Yao
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A new application of the reproducing kernel method
Discrete and Continuous Dynamical Systems - S, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Akgül
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Journal of Taibah University for Science, 2019 In this work, the boundary layer flow of a Powell–Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method. Reproducing kernel functions are used to obtain the solutions.
Ali Akgül
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A simplified reproducing kernel method for 1-D elliptic type interface problems
Journal of Computational and Applied Mathematics, 2019 In this paper, an efficient numerical method is proposed for the 1D elliptic type interface problems. We first construct a broken reproducing kernel space and then apply the simplified reproducing kernel method to the interface problems.
Minqiang Xu, Zhihong Zhao, Jing Niu
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Reproducing Kernel Method for Fractional Riccati Differential Equations [PDF]
Abstract and Applied Analysis, 2014 This paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique.
X. Y. Li, B. Y. Wu, R. T. Wang
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Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme
Mathematics, 2017 We apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given.
Mir Sajjad Hashemi +4 more
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Ain Shams Engineering Journal, 2018 In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
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Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations [PDF]
Abstract and Applied Analysis, 2012 On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari +2 more
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Reproducing Kernel Method for Fractional Derivative with Non-local and Non-singular Kernel
Studies in Systems, Decision and Control, 2019 Atangana and Baleanu introduced a derivative with fractional order to answer some outstanding questions that were posed by many investigators within the field of fractional calculus. Their derivative has a non-singular and nonlocal kernel. Therefore, we apply the reproducing kernel method to fractional differential equations with non-local and non ...
Ali Akgül
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