Results 31 to 40 of about 865 (215)

A Radial Basis Function Collocation Method for Space-dependent ‎Inverse Heat Problems [PDF]

Journal of Applied and Computational Mechanics, 2020
In this study, a radial basis function collocation method (RBFCM) is proposed for the numerical treatment of inverse space-wise dependent heat source problems.
Muhammad Nawaz Khan, Imtiaz Ahmad, Hijaz Ahmad   +2 more
doaj   +1 more source

Computer Simulation System of Nonlinear Thermal Conductivity

Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2021
The article discusses the computer simulation system of nonlinear processes that described by the one-dimensional nonstationary heat equation with power-law nonlinearity.
Ірина Гарячевська, Денис Протектор, Емілія Усатенко   +2 more
doaj   +1 more source

A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation

Journal of Mathematics, 2023
We consider to represent an algorithm for time-fractional Burgers’ equation utilizing the multiquadric-radial basis functions with the time-splitting technique. This algorithm is performed on the three examples.
Erdal Korkmaz, Kenan Yildirim
doaj   +1 more source

Computational issues by interpolating with inverse multiquadrics: a solution

CoRR, 2022
We consider the interpolation problem with the inverse multiquadric radial basis function. The problem usually produces a large dense linear system that has to be solved by iterative methods. The efficiency of such methods is strictly related to the computational cost of the multiplication between the coefficient matrix and the vectors computed by the ...
De Marchi S., Egidi N., Giacomini J., Maponi P., Perticarini A.   +4 more
openaire   +4 more sources

Investigation of Higher Order Localized Approximations for a Fractional Pricing Model in Finance

Mathematics, 2023
In this work, by considering spatial uniform meshes and stencils having five adjacent discretization nodes, we furnish a numerical scheme to solve the time-fractional Black–Scholes (partial differential equation) PDE to price financial options under the ...
Malik Zaka Ullah, Abdullah Khamis Alzahrani, Hashim Mohammed Alshehri, Stanford Shateyi   +3 more
doaj   +1 more source

On Shifted Cardinal Interpolation by Gaussians and Multiquadrics

Journal of Approximation Theory, 1996
The authors study so-called shifted Gaussian interpolation where approximants are given as a (finite or infinite) linear combination of translates of some Gaussian. More precisely, the approximants \(s\) are of the form \[ s(x)= \sum_{k\in\mathbb{Z}^d} a_k \varphi(x+\alpha-k) \qquad (x\in\mathbb{R}^d), \tag{1} \] where \(\mathbb{Z}\) is the set of ...
Baxter, B.J.C., Sivakumar, N.
openaire   +2 more sources

Analysis of laminated shells by a sinusoidalshear deformation theory and Radial Basis Functions collocation, accounting for through-the-thickness deformations [PDF]

, 2011
In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to a sinusoidal shear deformation theory (SSDT).
Polit, O., C.M.C. Roque, O. Polit, Roque C. C., Roque, C.C., A.J.M. Ferreira, Cinefra M., C. M. C. Roque, Carrera E., M. Cinefra, Cinefra, Maria, Ferreira A. J. M., A. J. M. Ferreira, Roque C. M. C., Ferreira, A.J.M., Carrera, Erasmo, Polit O., E. Carrera   +17 more
core   +1 more source

A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters

Results in Applied Mathematics
The shape parameter c plays a crucial role in determining the accuracy and effectiveness of multiquadric quasi-interpolation algorithm. However, a few works discuss the shape parameter c in multiquadric quasi-interpolation operator.
Hualin Xiao, Dan Qu
doaj   +1 more source

Nonsingularity of unsymmetric Kansa matrices: Random collocation by MultiQuadrics and Inverse MultiQuadrics

Mathematics and Computers in Simulation
Unisolvence of unsymmetric Kansa collocation is still a substantially open problem. We prove that Kansa matrices with MultiQuadrics and Inverse MultiQuadrics for the Dirichlet problem of the Poisson equation are almost surely nonsingular, when the collocation points are chosen by any continuous random distribution in the domain interior and arbitrarily
R. Cavoretto, A. De Rossi, F. Dell’Accio, A. Sommariva, M. Vianello   +4 more
openaire   +3 more sources

Explicit Runge-Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions

International Journal of Computational Methods
In this article, a family of two- and three-stage explicit multiquadric (MQ) and inverse multiquadric (IMQ) radial basis functions (RBFs) Runge-Kutta methods are introduced for solving ordinary differential equations. These methods are developed by utilizing MQ- and IMQ-RBF Euler methods.
Mahata, Shipra, Rathan, Samala
openaire   +3 more sources