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

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. By using the quasilinearization method, the nonlinear elliptic PDEs are simplified to a...

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Bibliographic Details
Published in:	Mathematics (Basel) Vol. 10; no. 13; p. 2260
Main Authors:	Mkhatshwa, Musawenkhosi Patson, Khumalo, Melusi
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.07.2022
Subjects:	Accuracy Algorithms Approximation Boundary conditions Chebyshev approximation Chebyshev–Gauss–Lobatto points Collocation methods Computing time Derivatives Differential equations Elliptic functions Kronecker tensor product Mathematics Methods Numerical analysis Partial differential equations Polynomials quasilinearization method spectral method Tensors three-dimensional elliptic PDEs trivariate Lagrange interpolating polynomial Variables
ISSN:	2227-7390, 2227-7390
Online Access:	Get full text
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