Solution of heat equation by a novel implicit scheme using block hybrid preconditioning of the conjugate gradient method

Solution of heat equation by a novel implicit scheme using block hybrid preconditioning of the conjugate gradient method

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The main goal of the study is the approximation of the solution to the Dirichlet boundary value problem (DBVP) of the heat equation on a rectangle by developing a new difference method on a grid system of hexagons. It is proved that the given special scheme is unconditionally stable and converges t...

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Bibliographic Details
Main Authors: S.C. Buranay, N. Arshad
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2023-03-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Heat equation
implicit scheme
hexagonal grid
stability analysis
symmetric positive definite matrix
approximate inverse
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/553

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