Results 61 to 70 of about 326 (178)

Numerical Investigation for the Temporal Fractional Financial Option Pricing Partial Differential Equation Utilizing a Multiquadric Function

Fractal and Fractional
This paper proposes a computational procedure to resolve the temporal fractional financial option pricing partial differential equation (PDE) using a localized meshless approach via the multiquadric radial basis function (RBF).
Jia Li, Tao Liu, Jiaqi Xu, Xiaoxi Hu, Changan Xu, Yanlong Wei   +5 more
doaj   +1 more source

Software failures prediction using RBF neural network

Trudy Odesskogo Politehničeskogo Universiteta, 2015
One of the prospective techniques for software reliability prediction are those based on nonparametric models, in particular on artificial neural networks.
Vitaliy S. Yakovyna
doaj   +5 more sources

MQ Quasi-Interpolation Operators: Adaptive Construction and Rigorous Approximation Bound Estimations

Mathematics
This paper focuses on constructing four novel multiquadric (MQ) quasi-interpolation operators. We conduct a comprehensive analysis of the essential properties of the proposed operators and further derive rigorous optimal upper and lower bounds for the ...
Lixia Gao
doaj   +1 more source

Numerical Solution of High-Dimensional Shockwave Equations by Bivariate Multi-Quadric Quasi-Interpolation

Mathematics, 2019
Radial basis function-based quasi-interpolation performs efficiently in high-dimensional approximation and its applications, which can attain the approximant and its derivatives directly without solving any large-scale linear system.
Shenggang Zhang, Chungang Zhu, Qinjiao Gao   +2 more
doaj   +1 more source

An Analytical Approach to Solve a System of 2D Nonlinear Volterra–Fredholm Integral Equations on Nonrectangular Domains Based on Radial Basis Functions

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We aim to introduce a numerical method to solve a system of two‐dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains. The method estimates the solutions of the system by a discrete collocation method based on radial basis functions constructed on scattered points.
Mohsen Jalalian, Manochehr Kazemi, Mohammad Esmael Samei, Chang Phang   +3 more
wiley   +1 more source

Remeshing in the finite cell method for different types of geometry descriptions

Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 4, December 2024.
Abstract The numerical structural analysis of problems with complex geometries can be challenging, especially if standard finite elements are used. In contrast, immersed methods, such as the finite cell method, relieve the mesh generation such that simply shaped elements/cells can be used.
Roman Sartorti, Alexander Düster
wiley   +1 more source

Numerical techniques for behavior of incompressible flow in steady two-dimensional motion due to a linearly stretching of porous sheet based on radial basis functions

Nonlinear Engineering, 2019
In this paper the boundary layer flow of a micro-polar fluid due to a linearly stretching sheet which is a non-linear system two-point boundary value problem (BVP) on semi-infinite interval has been considered.
Parand Kourosh, Lotfi Yasaman, Rad Jamal Amani   +2 more
doaj   +1 more source

A shape optimization pipeline for marine propellers by means of reduced order modeling techniques

International Journal for Numerical Methods in Engineering, Volume 125, Issue 7, 15 April 2024.
Abstract In this article, we propose a shape optimization pipeline for propeller blades, applied to naval applications. The geometrical features of a blade are exploited to parametrize it, allowing to obtain deformed blades by perturbating their parameters. The optimization is performed using a genetic algorithm that exploits the computational speed‐up
Anna Ivagnes, Nicola Demo, Gianluigi Rozza   +2 more
wiley   +1 more source

A Meshless MQ-RBF Approach with Artificial Viscosity for Shock-Resolved Shallow Water Flow Simulation [PDF]

E3S Web of Conferences
In this study, we introduce a meshless computational framework for simulating shallow water flows with shock phenomena using multiquadric radial basis functions (MQ-RBFs).
Bensaad Marwane, Es-Sabry Youssef, Chaabelasri Elmiloud   +2 more
doaj   +1 more source

Applying multiquadric quasi-interpolation for boundary detection

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qinjiao Gao, Zongmin Wu, Shenggang Zhang
openaire   +2 more sources