Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations

DOI10.1080/00207160412331291125zbMath1063.65087OpenAlexW2140015520MaRDI QIDQ4652861

Mohammad Khatim Hasan, Mahmod Othman, Jumat Sulaiman

Publication date: 28 February 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://psasir.upm.edu.my/id/eprint/40274/1/Quarter-sweep%20iterative%20alternating%20decomposition%20explicit%20algorithm%20applied%20to%20diffusion%20equations.pdf

zbMATH Keywords

algorithmnumerical examplesdiffusion equationperformance evaluationfinite differencetwo-step iterative methodsfull-, half- and quarter-sweeps iterative alternating decomposition explicit methods

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10)

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Cites Work

• An iterative method for large sparse linear systems on a vector computer
• The iterative alternating decomposition explicit (iade) method to solve the heat conduction equation
• An efficient four points modified explicit group poisson solver
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• Solving the two dimensional diffusion equation by the four point explicit decoupled group (edg) iterative method