Results 181 to 190 of about 1,638 (210)
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On Solutions of Biological Models Using Reproducing Kernel Hilbert Space Method
2023Differential equations (DEs, for short) are becoming more and more indispensable for modeling real-life problems. Modeling and then analyzing these DEs help scientists to understand and make predictions about the system that they want to analyze. And this is possible only in one case when their solutions are available.
Attia, Nourhane, Akgül, Ali
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Reproducing kernel Hilbert space method for nonlinear boundary‐value problems
Mathematical Methods in the Applied Sciences, 2018Reproducing kernel Hilbert space method is given for nonlinear boundary‐value problems in this paper. Applying this technique, we establish a new algorithm to approximate the solution of such nonlinear boundary‐value problems. This technique does not need any background mesh and can easily be applied.
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Reproducing kernel Hilbert space method for optimal interpolation of potential field data
IEEE Transactions on Image Processing, 1998The RKHS-based optimal image interpolation method, presented by Chen and de Figueiredo (1993), is applied to scattered potential field measurements. The RKHS which admits only interpolants consistent with Laplace's equation is defined and its kernel, derived.
Maltz, Jonathan +2 more
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Reproducing Kernel Hilbert Space Methods to Reduce Pulse Compression Sidelobes
2007Since the development of pulse compression in the mid- 1950's the concept has become an indispensable feature of modern radar systems. A matched filter is used on reception to maximize the signal to noise ratio of the received signal. The actual waveforms that are transmitted are chosen to have an autocorrelation function with a narrow peak at zero ...
J. A. Jordaan +2 more
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Solving Higher-Order Fractional Differential Equations by Reproducing Kernel Hilbert Space Method
Journal of Advanced Physics, 2018In this work, we apply reproducing kernel Hilbert space method to investigate higher-order fractional differential equations. We used a bounded linear operator and some useful reproducing kernel functions to get accurate results. We present an experiment to prove how real our theory can be performed in the applications.
Akgul, Esra Karatas +2 more
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Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method
Soft Computing, 2015This paper presents a new method for solving fuzzy differential equations based on the use of the reproducing kernel Hilbert space method under the assumption of strongly generalized differentiability. After some preliminary definitions and results , the paper introduces an overview of the theory of fuzzy differential equations.
Arqub, Omar Abu +3 more
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Regression models for functional data by reproducing kernel Hilbert spaces methods
Journal of Statistical Planning and Inference, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Optimization Theory and Applications, 2012
The authors, using the notion of the fractional derivative of Caputo, construct an approximate method to solve the integro-differential equation of fractional order of the special form \[ D^{\alpha}u(x)= F(x, u(x), Tu(x)),\qquad m ...
Bushnaq, Samia +2 more
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The authors, using the notion of the fractional derivative of Caputo, construct an approximate method to solve the integro-differential equation of fractional order of the special form \[ D^{\alpha}u(x)= F(x, u(x), Tu(x)),\qquad m ...
Bushnaq, Samia +2 more
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Numerical methods for solving Schrödinger equations in complex reproducing kernel Hilbert spaces
Mathematical Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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