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International Journal of Computer Mathematics Volume 24, 1988 - Issue 3-4
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Original Articles

The alternating group explicit (age) iterative method for solving parabolic equations i: 2-dimensional problems

D.J. Evans Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire, UK
&
M.S. Sahimi Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire, UK
Pages 311-341 | Received 01 Sep 1987, Published online: 19 Mar 2007

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Ewedafe Simon Uzezi & Rio Hirowati Shariffudin. (2011) Armadillo generation distributed system with geranium Cadcam cluster for solving 2D telegraphic problem. International Journal of Computer Mathematics 88:3, pages 589-609.
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R.K. Mohanty. (2010) Application of AGE Method to High Accuracy Variable Mesh Arithmetic Average Type Discretization for 1D Non-linear Parabolic Initial Boundary Value Problems. International Journal for Computational Methods in Engineering Science and Mechanics 11:3, pages 133-141.
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Navnit Jha, R. K. Mohanty & Bimal Kumar Mishra. (2009) Alternating group explicit iterative method for nonlinear singular Fredholm Integro-differential boundary value problems. International Journal of Computer Mathematics 86:9, pages 1645-1656.
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R. K. Mohanty & M. K. Jain. (2009) High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations† . International Journal of Computer Mathematics 86:9, pages 1556-1571.
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F. Fairag & M. S. Sahimi. (2008) The alternating group explicit (AGE) iterative method for solving a Ladyzhenskaya model for stationary incompressible viscous flow. International Journal of Computer Mathematics 85:2, pages 287-305.
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X. F. Feng & Z. F. Tian. (2006) Alternating group explicit method with exponential-type for the diffusion–convection equation. International Journal of Computer Mathematics 83:10, pages 765-775.
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R. K. Mohanty & D. J. Evans. (2005) Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k 2 + h 4) difference method. International Journal of Computer Mathematics 82:2, pages 203-218.
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Han Zhen, Fu Hongyuan & Shen Longjun. (1994) Pure alternating block explicit-implicit method for the diffusion equation in two space dimensions. International Journal of Computer Mathematics 51:1-2, pages 81-93.
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M. S. Sahimi & D. J. Evans. (1994) The numerical solution of a coupled system of elliptic equations using the age fractional scheme. International Journal of Computer Mathematics 50:1-2, pages 65-87.
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D.J. Evans & W.S. Yousif. (1993) The numerical solution of 2-dimensional fourth order partial differential equations by the age fractional method. International Journal of Computer Mathematics 49:1-2, pages 67-74.
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B. J. Noye & K. J. Hayman. (1993) Implicit two-level finite-difference methods for the two-dimensional diffusion equation. International Journal of Computer Mathematics 48:3-4, pages 219-227.
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B.J. Noye & K.J. Hayman. (1992) Explictt two-level finite-difference methods for the two-dimensional diffusion equation. International Journal of Computer Mathematics 42:3-4, pages 223-236.
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D. J. Evans & M. S. Sahimi. (1989) The alternating group explicit (age) iterative method for solving parabolic equations II: 3 space dimensional problems. International Journal of Computer Mathematics 26:2, pages 117-142.
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Articles from other publishers (17)

Azali Saudi & A’qilah Ahmad Dahalan. (2022) An Efficient Red–Black Skewed Modified Accelerated Arithmetic Mean Iterative Method for Solving Two-Dimensional Poisson Equation. Symmetry 14:5, pages 993.
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N. A. M. Ali, J. Sulaiman, A. Saudi & N. S. Mohamad. 2021. Computational Science and Technology. Computational Science and Technology 515 526 .
Fouad Mohammad Salama, Norhashidah Hj. Mohd. Ali & Nur Nadiah Abd Hamid. (2020) Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation. Advances in Difference Equations 2020:1.
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Ning Chen & Haiming Gu. (2015) Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation. American Journal of Computational Mathematics 05:03, pages 274-282.
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栋 王. (2013) A New ASE-I Method for Solving Parabolic Equations. Advances in Applied Mathematics 02:01, pages 15-19.
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Qiu Yan Xu & Fuli Qu. (2012) A New Alternating Group Explicit Algorithm for Solving 2D Diffusion Equation. Applied Mechanics and Materials 263-266, pages 2301-2307.
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Norma Alias, Rasiya Anwar, Che Rahim Che Teh, Noriza Satam, Norhafiza Hamzah, Zarith Safiza Abd. Ghaffar, Roziha Darwis & Md. Rajibul Islam. (2011) Performance evaluation of multidimensional parabolic type problems on distributed computing systems. Performance evaluation of multidimensional parabolic type problems on distributed computing systems.
Simon Uzezi Ewedafe & Rio Hirowati Shariffudin. (2010) Parallel Implementation of 2-D Telegraphic Equation on MPI/PVM Cluster. International Journal of Parallel Programming 39:2, pages 202-231.
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Norma Alias & Md. Rajibul Is. (2010) A Review of the Parallel Algorithms for Solving Multidimensional PDE Problems. Journal of Applied Sciences 10:19, pages 2187-2197.
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Yuanfeng Jin, Guangzhi Jin & Tinghuai Ma. (2010) New Parallel Three-level Iterative Method for Diffusion Equation. Information Technology Journal 9:6, pages 1184-1189.
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Zhengsu Wan, Baolin Zhang & Guangnan Cheng. (2010) New design and analysis of finite difference domain decomposition algorithm for the two-dimensional heat equation. Journal of Systems Science and Complexity 23:2, pages 403-412.
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Norma Alias, Mohd Salleh Sahimi & Abdul Rahman Abdullah. 2003. Recent Advances in Parallel Virtual Machine and Message Passing Interface. Recent Advances in Parallel Virtual Machine and Message Passing Interface 214 221 .
Wan Zheng-su & Zhang Bao-lin. (2002) Design and analysis of finite difference domain decomposition algorithms for the two-dimensional heat equation. Design and analysis of finite difference domain decomposition algorithms for the two-dimensional heat equation.
Mohd Salleh Sahimi, Norma Alias & Elankovan Sundararajan. 2001. Computational Science — ICCS 2001. Computational Science — ICCS 2001 918 927 .
Mohan K. Kadalbajoo & A.Appaji Rao. (1997) Parallel group explicit method for two-dimensional parabolic equations. Parallel Computing 23:6, pages 649-666.
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Liu Xiao-Yu & Zhang Bao-Lin. (1996) Local one-dimensional ase-i scheme for 2D diffusion equation. Wuhan University Journal of Natural Sciences 1:3-4, pages 515-521.
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A.A. Al-Wali & D.J. Evans. (1996) The Explicit Alternating Direction methods and their applications to problems in fluid mechanics. Advances in Engineering Software 26:2, pages 83-99.
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