Results 11 to 20 of about 2,360 (218)
Advances in Difference Equations, 2018 In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space.
Ghaleb N. Gumah +3 more
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Journal of Mathematics, 2022 In this article, the reproducing kernel method is presented for the fractional differential equations with periodic conditions in the Hilbert space. This method gives an approximate solution to the problem.
Hoda Saky +2 more
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Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method [PDF]
Abstract and Applied Analysis, 2013 We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space.
Yulan Wang +4 more
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Boundary Value ProblemsIn this work, we investigate the Klein–Gordon equation, a physical problem, using the reproducing kernel Hilbert space method (RKHSM). The analytical solution is expressed as a series within the reproducing kernel Hilbert space (RKHS).
Hadjer Zerouali +6 more
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Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method [PDF]
Abstract and Applied Analysis, 2013 We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel ...
Mustafa Inc +2 more
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Mathematical Modelling and Analysis, 2015 An iterative method is discussed with respect to its effectiveness and capability of solving singular nonlinear Lane-Emden type equations using reproducing kernel Hilbert space method combined with the Picard iteration.
Babak Azarnavid +2 more
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A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel Walls [PDF]
Abstract and Applied Analysis, 2013 The present paper emphasizes Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2α. A new method called the reproducing kernel Hilbert space method (RKHSM) is briefly introduced.
Mustafa Inc +2 more
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Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation
ITM Web of Conferences, 2018 Reproducing kernel functions are obtained for the solution of generalized Kuramoto–Sivashinsky (GKS) equation in this paper. These reproducing kernel functions are valuable in the reproducing kernel Hilbert space method.
Akgül Ali +3 more
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On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
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Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations [PDF]
Mathematical Problems in Engineering, 2017 A new approach based on the Reproducing Kernel Hilbert Space Method is proposed to approximate the solution of the second‐kind nonlinear integral equations. In this case, the Gram‐Schmidt process is substituted by another process so that a satisfactory result is obtained. In this method, the solution is expressed in the form of a series.
Sedigheh Farzaneh Javan +2 more
openaire +3 more sources