The Radial Point Interpolation Mixed Collocation (RPIMC) Method for the Solution of Transient Diffusion Problems [PDF]
Engineering Analysis with Boundary Elements 121 (2020): 207-216, 2020 The Radial Point Interpolation Mixed Collocation (RPIMC) method is proposed in this paper for transient analysis of diffusion problems. RPIMC is an efficient purely meshless method where the solution of the field variable is obtained through collocation.
arxiv +1 more source
Adaptive Wavelet Collocation Method for Simulation of Time Dependent Maxwell's Equations [PDF]
, 2012 This paper investigates an adaptive wavelet collocation time domain method for the numerical solution of Maxwell's equations. In this method a computational grid is dynamically adapted at each time step by using the wavelet decomposition of the field at ...
Freude, Wolfgang +3 more
core +3 more sources
Modified Chebyshev Collocation Method for Solving Differential Equations
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2015 This paper presents derivation of alternative numerical scheme for solving differential equations, which is modified Chebyshev (Vieta-Lucas Polynomial) collocation differentiation matrices.
M Ziaul Arif +2 more
doaj +1 more source
A new spline technique for the time fractional diffusion-wave equation
MethodsX, 2023 The current research article proposes an approximate solution of the fractional diffusion wave equation (FDWE) by using a new collocation method based on the cubic B-splines.
Suruchi Singh, Swarn Singh, Anu Aggarwal
doaj
Sinc-Integral method to solve the linear Schrodinger equation [PDF]
Mathematics and Computational Sciences, 2020 The integral equation method is presented to solve the linear Schrodinger equation and obtain the eigenvalues. The eigenvalues obtained through this method are compared with Sinc-Collocation method.
Seyed Mohammad Ali Aleomraninjad +1 more
doaj +1 more source
Quasi-collocation based on CCC-Schoenberg operators and collocation methods [PDF]
arXiv, 2021 We propose a collocation and quasi-collocation method for solving second order boundary value problems $L_2 y=f$, in which the differential operator $L_2$ can be represented in the product formulation, aiming mostly on singular and singularly perturbed boundary value problems.
arxiv
International Journal for Numerical Methods in Engineering, 2019 A collocation method has been recently developed as a powerful alternative to Galerkin's method in the context of isogeometric analysis, characterized by significantly reduced computational cost, but still guaranteeing higher‐order convergence rates.
N. Nguyen‐Thanh +4 more
semanticscholar +1 more source
A Chebyshev collocation method for solving two-phase flow stability problems [PDF]
, 1997 This paper describes a Chebyshev collocation method for solving the eigenvalue problem that governs the stability of parallel two-phase flow. The method is based on the expansion of the eigenfunctions in terms of Chebyshev polynomials, point collocation,
Beijnon, G.V. +3 more
core +3 more sources
Multi-quadric collocation model of horizontal crustal movement [PDF]
Solid Earth, 2016 To establish the horizontal crustal movement velocity field of the Chinese mainland, a Hardy multi-quadric fitting model and collocation are usually used.
G. Chen, A. Zeng, F. Ming, Y. Jing
doaj +1 more source
Numerical Simulation of PDEs by Local Meshless Differential Quadrature Collocation Method
Symmetry, 2019 In this paper, a local meshless differential quadrature collocation method based on radial basis functions is proposed for the numerical simulation of one-dimensional Klein–Gordon, two-dimensional coupled Burgers’, and regularized long wave equations ...
I. Ahmad +4 more
semanticscholar +1 more source