Results 1 to 10 of about 555 (69)

Accuracy improvement of collocation method by using the over-range collocation points for 2-D and 3-D problems

Mechanical Engineering Journal, 2014
It has been shown that the significance of the positivity conditions in the collocation methods (CM), and the violation of the positivity conditions can significantly result in a large error in the numerical solution.
Yong-Ming GUO, Kouji SHIOYA, Kei OOBUCHI, Genki YAGAWA, Shunpei KAMITANI   +4 more
doaj   +3 more sources

Quintic B-spline collocation method for numerical solution of free vibration of tapered Euler-Bernoulli beam on variable Winkler foundation

Journal of Mechanical Engineering and Sciences, 2021
The collocation method is the method for the numerical solution of integral equations and partial and ordinary differential equations. The main idea of this method is to choose a number of points in the domain and a finite-dimensional space of candidate ...
Amin Ghannadiasl
doaj   +1 more source

Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach

Complexity, 2021
In this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function.
Hualing Wu, Rohul Amin, Asmatullah Khan, Shah Nazir, Sultan Ahmad   +4 more
doaj   +1 more source

DE Sinc-Collocation Method for Solving a Class of Second-Order Nonlinear BVPs [PDF]

Mathematics Interdisciplinary Research, 2021
In this work, we develop the Sinc-collocation method coupled with a Double exponential transformation for solving a special class of nonlinear second-order multi-point boundary value problems (MBVP).
Ali Eftekhari, Abbas Saadatmandi
doaj   +1 more source

Trivariate Spectral Collocation Approach for the Numerical Solution of Three-Dimensional Elliptic Partial Differential Equations

Mathematics, 2022
This article is concerned with the numerical solution of three-dimensional elliptic partial differential equations (PDEs) using the trivariate spectral collocation approach based on the Kronecker tensor product.
Musawenkhosi Patson Mkhatshwa, Melusi Khumalo   +1 more
doaj   +1 more source

A Direct-Forcing Immersed Boundary Method for Incompressible Flows Based on Physics-Informed Neural Network

Fluids, 2022
The application of physics-informed neural networks (PINNs) to computational fluid dynamics simulations has recently attracted tremendous attention. In the simulations of PINNs, the collocation points are required to conform to the fluid–solid interface ...
Yi Huang, Zhiyu Zhang, Xing Zhang
doaj   +1 more source

Assessment of local covariance estimation through Least Squares Collocation over Iran [PDF]

Advances in Geosciences, 2020
Covariance determination as the heart of Least Squares Collocation gravity field modeling is based on fitting an analytical covariance to the empirical covariance, which is stemmed from gravimetric data.
S. Ramouz, Y. Afrasteh, M. Reguzzoni, A. Safari   +3 more
doaj   +1 more source

Approximations to linear Klein–Gordon Equations using Haar wavelet

Ain Shams Engineering Journal, 2021
In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram, Sidra Saleem, Malik Zawwar Hussain   +2 more
doaj   +1 more source

Superconvergence of spectral collocation method for initial value problem of ordinary differential equations

上海师范大学学报. 自然科学版, 2021
In this paper, we study the spectral collocation method for the initial value problems of ordinary differential equations. Based on Legendre-Gauss points, we propose the spectral collocation method for the initial value problems of first-order and second-
QIAN Yiyun, ZHA Yuanyuan, CAI Kangwen, LIU Yanqin, WANG Xinyi, YI Lijun   +5 more
doaj   +1 more source

A recovered Moho model by integrated inversion of gravity and seismic depths in Iran

Heliyon, 2020
This research aims to define the depth of Moho in Iran by collocation method using gravimetric data with seismic information. The definition of the Moho in the Iranian region is of considerable importance due to the geological complexity of the area also
Sahar Ebadi, Abdolreza Safari, Riccardo Barzaghi, Abbas Bahroudi   +3 more
doaj   +1 more source