A high accuracy variant of the iterative alternating decomposition explicit method for solving the heat equation

M. S. Sahimi, Noreliza Abu Mansor, N. M. Nor, Noraini Md Nusi, N. #Not Available#, #N/A# Alias

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation, the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact of the parabolic-elliptic correspondence, we shall derive a two stage iterative procedure employing a fractional splitting strategy applied alternately at each intermediate time step to the one dimensional heat equation. As the basis of derivation is the unconditionally stable (4,2) accurate ADI scheme, this method is convergent, computationally stable and highly accurate.

Original languageEnglish
Pages (from-to)45-49
Number of pages5
JournalInternational Journal of Simulation and Process Modelling
Volume2
Issue number1-2
Publication statusPublished - 01 Jan 2006

Fingerprint

Explicit Methods
Decomposition Method
Heat Equation
High Accuracy
Alternating Direction Implicit Method
Decomposition
Two-stage Procedure
Alternating Direction
Unconditionally Stable
Implicit Scheme
Iterative Procedure
Parabolic Equation
Replacement
Fractional
Correspondence
Approximation
Hot Temperature
Strategy

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Science Applications
  • Applied Mathematics

Cite this

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A high accuracy variant of the iterative alternating decomposition explicit method for solving the heat equation. / Sahimi, M. S.; Abu Mansor, Noreliza; Nor, N. M.; Md Nusi, Noraini; #Not Available#, N.; Alias, #N/A#.

In: International Journal of Simulation and Process Modelling, Vol. 2, No. 1-2, 01.01.2006, p. 45-49.

Research output: Contribution to journalArticle

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