Results 1 to 10 of about 5,960 (305)
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 +4 more
exaly +4 more sources
Multi-projection method for Volterra integral equations at the collocation points
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K Maleknejad
exaly +2 more sources
A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation [PDF]
Scientific ReportsThis study presents an innovative numerical framework for addressing initial value problems (IVPs) in linear fractional Volterra–Fredholm integro-differential equations (FVFIDEs).
Maha M. Hamood +2 more
doaj +2 more sources
A meshfree point collocation method for elliptic interface problems [PDF]
Applied Mathematical Modelling, 2023 We present a meshfree generalized finite difference method for solving Poisson's equation with a diffusion coefficient that contains jump discontinuities up to several orders of magnitude. To discretize the diffusion operator, we formulate a strong form method that uses a smearing of the discontinuity; and a conservative formulation based on locally ...
Kraus, Heinrich +3 more
openaire +3 more sources
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
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 +4 more
doaj +1 more source
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 +1 more
doaj +1 more source
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 +5 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
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 +3 more
doaj +1 more source