Results 11 to 20 of about 326 (178)

A Simplified Radial Basis Function Method with Exterior Fictitious Sources for Elliptic Boundary Value Problems

Mathematics, 2022
In this article, we propose a simplified radial basis function (RBF) method with exterior fictitious sources for solving elliptic boundary value problems (BVPs). Three simplified RBFs, including Gaussian, multiquadric (MQ), and inverse multiquadric (IMQ)
Chih-Yu Liu, Cheng-Yu Ku
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A Novel ANN-Based Radial Basis Function Collocation Method for Solving Elliptic Boundary Value Problems

Mathematics, 2023
Elliptic boundary value problems (BVPs) are widely used in various scientific and engineering disciplines that involve finding solutions to elliptic partial differential equations subject to certain boundary conditions.
Chih-Yu Liu, Cheng-Yu Ku
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Cardinal interpolation with general multiquadrics [PDF]

Advances in Computational Mathematics, 2016
This paper studies the cardinal interpolation operators associated with the general multiquadrics, $ϕ_{α,c}(x) = (\|x\|^2+c^2)^α$, $x\in\mathbb{R}^d$. These operators take the form $$\mathscr{I}_{α,c}\mathbf{y}(x) = \sum_{j\in\mathbb{Z}^d}y_jL_{α,c}(x-j),\quad\mathbf{y}=(y_j)_{j\in\mathbb{Z}^d},\quad x\in\mathbb{R}^d,$$ where $L_{α,c}$ is a fundamental
Keaton Hamm, Jeff Ledford
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A Novel Machine Learning Approach for Detection of Coronary Artery Disease Using Reduced Non-linear and Chaos Features [PDF]

International Journal Bioautomation, 2022
In this research paper, authors present an automated system in this paper that integrates a ranking technique with Principal Component Analysis (PCA), Generalized Discriminant Analysis (GDA) and a 1-Norm Bidirectional Extreme Learning Machine (1-NBELM ...
Ram Sewak Singh, Demissie Jobir Gelmecha, Satyasis Mishra, Gemechu Dengia, Devendra Kumar Sinha   +4 more
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Localized method of particular solutions using polynomial basis functions for solving two-dimensional nonlinear partial differential equations

Partial Differential Equations in Applied Mathematics, 2021
The localized method is one of the popular approaches in solving large-scale problems in science and engineering. In this paper, we implement the localized method of particular solutions using polynomial basis functions for solving various nonlinear ...
T. Dangal, B. Khatri Ghimire, A.R. Lamichhane   +2 more
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A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order

Journal of Inequalities and Applications, 2023
In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
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Extreme learning machine with feature extraction using GLCM for phosphorus deficiency identification of cocoa plants

Ilkom Jurnal Ilmiah, 2022
This study aims to analyze the implementation of the Extreme Learning Machine (ELM) Algorithm with Gray Level Co-Occurrence Matrix (GLCM) as an Image Feature Extraction method in identifying phosphorus deficiency in cocoa plants based on leaf ...
Basri Basri, Muhammad Assidiq, Harli A. Karim, Andi Nuraisyah   +3 more
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Multiquadric B-splines

Journal of Approximation Theory, 1996
The authors define certain combinations of multiquadrics, denoted as \(\Psi\)-splines, and investigate their properties. In particular, the strong analogy between these \(\Psi\)-splines and the usual polynomial B-splines is pointed out at several places.
Beatson, R.K., Dyn, N.
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Cardinal interpolation with general multiquadrics: convergence rates [PDF]

Advances in Computational Mathematics, 2017
Wholesale changes from previous version; 26 pages ...
Keaton Hamm, Jeff Ledford
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The RBF-FD and RBF-FDTD Methods for Solving Time-Domain Electrical Transient Problems in Power Systems

International Transactions on Electrical Energy Systems, 2023
In this paper, the development and application of the radial basis function-finite difference (RBF-FD) method and the RBF-finite difference time domain (RBF-FDTD) method for solving electrical transient problems in power systems that are defined by the ...
Duc-Quang Vu, Nhat-Nam Nguyen, Phan-Tu Vu   +2 more
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