Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto–Sivashinsky equation [PDF]
Journal of Taibah University for Science, 2019 Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation.
Ali Akgül, Ebenezer Bonyah
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Single image super-resolution via an iterative reproducing kernel Hilbert space method. [PDF]
IEEE Trans Circuits Syst Video Technol, 2016 Image super-resolution, a process to enhance image resolution, has important applications in satellite imaging, high definition television, medical imaging, etc. Many existing approaches use multiple low-resolution images to recover one high-resolution image. In this paper, we present an iterative scheme to solve single image super-resolution problems.
Deng LJ, Guo W, Huang TZ.
europepmc +4 more sources
A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
Abstract and Applied Analysis, 2013 We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
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Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators [PDF]
Advances in Mathematical Physics, 2014 A new algorithm called multistep reproducing kernel Hilbert space method is represented to solve nonlinear oscillator’s models. The proposed scheme is a modification of the reproducing kernel Hilbert space method, which will increase the intervals of ...
Banan Maayah +3 more
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The reproducing kernel Hilbert space method for solving Troesch’s problem
Journal of the Association of Arab Universities for Basic and Applied Sciences, 2013 AbstractIn this paper, the reproducing kernel Hilbert space method (RKHSM) is applied for solving Troesch’s problem. We used numerical examples to illustrate the accuracy and implementation of the method. The analytical result of the equation has been obtained in terms of a convergent series with easily computable components.
Mustafa İnç
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A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations [PDF]
Abstract and Applied Analysis, 2014 We present a new version of the reproducing kernel Hilbert space method (RKHSM) for the solution of systems of fractional integrodifferential equations.
Samia Bushnaq +3 more
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Iterative reproducing kernel Hilbert spaces method for Riccati differential equations
Journal of Computational and Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Gıyas Sakar
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Solutions to Uncertain Volterra Integral Equations by Fitted Reproducing Kernel Hilbert Space Method [PDF]
Journal of Function Spaces, 2016 We present an efficient modern strategy for solving some well-known classes of uncertain integral equations arising in engineering and physics fields. The solution methodology is based on generating an orthogonal basis upon the obtained kernel function ...
Ghaleb Gumah +3 more
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Error analysis of reproducing kernel Hilbert space method for solving functional integral equations
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esmail Babolian
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Kernel center adaptation in the reproducing kernel Hilbert space embedding method
International Journal of Adaptive Control and Signal Processing, 2022 SummaryThe performance of adaptive estimators that employ embedding in reproducing kernel Hilbert spaces (RKHS) depends on the choice of the location of basis kernel centers. Parameter convergence and error approximation rates depend on where and how the kernel centers are distributed in the state‐space.
Sai Tej Paruchuri +2 more
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