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International Journal of Computer Mathematics Volume 64, 1997 - Issue 1-2
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Original Articles

Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass

A. B. Gumel Faculty of Information Technology
,
W. T. Ang Faculty of Engineering, Universiti Malaysia Sarawak, Kota Samarahan, Sarawak, 94300, Malaysia
&
E. H. Twizell Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, UB8 3PH, England
Pages 153-163 | Received 10 Jan 1996, Published online: 20 Jan 2011

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Fatma Kanca & Irem Baglan. (2021) Analysis for two-dimensional inverse quasilinear parabolic problem by Fourier method. Inverse Problems in Science and Engineering 29:12, pages 1912-1945.
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Bharath Bhikkaji , Kaushik Mahata & Torsten Söderström. (2004) Reduced order models for a two-dimensional heat diffusion system. International Journal of Control 77:18, pages 1532-1548.
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Whye-Teong Ang, Keng-Cheng Ang & Mehdi Dehghan. (2003) The Determination Of A Control Parameter In A Two-Dimensional Diffusion Equation Using A Dual-Reciprocity Boundary Element Method. International Journal of Computer Mathematics 80:1, pages 65-74.
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Articles from other publishers (17)

Endre Kovács & Ádám Nagy. (2022) A new stable, explicit, and generic third‐order method for simulating conductive heat transfer. Numerical Methods for Partial Differential Equations 39:2, pages 1504-1528.
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Falade Kazeem Iyanda, Olusegun David Samuel, Prosper Omovigho Oghenerukevwe, Muazu Nuru, Benjamin Ufuoma Oreko & Muji Setiyo. Prediction of heat generation and thermal diffusivities of diverse materials using MAPLE 18 software coded algorithm. Prediction of heat generation and thermal diffusivities of diverse materials using MAPLE 18 software coded algorithm.
Endre Kovács, Ádám Nagy & Mahmoud Saleh. (2022) A New Stable, Explicit, Third‐Order Method for Diffusion‐Type Problems. Advanced Theory and Simulations 5:6.
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Endre Kovács, Ádám Nagy & Mahmoud Saleh. (2021) A Set of New Stable, Explicit, Second Order Schemes for the Non-Stationary Heat Conduction Equation. Mathematics 9:18, pages 2284.
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Ádám Nagy, Mahmoud Saleh, Issa Omle, Humam Kareem & Endre Kovács. (2021) New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation. Mathematical and Computational Applications 26:3, pages 61.
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Xue Wang & Whye-Teong Ang. (2018) A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation. Applied Mathematics and Computation 321, pages 731-744.
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Elyas Shivanian. (2016) More accurate results for two-dimensional heat equation with Neumann’s and non-classical boundary conditions. Engineering with Computers 32:4, pages 729-743.
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Ahmed Cheniguel. 2014. Transactions on Engineering Technologies. Transactions on Engineering Technologies 579 597 .
Mohammad Siddique. (2009) Smoothing of Crank–Nicolson scheme for the two-dimensional diffusion with an integral condition. Applied Mathematics and Computation 214:2, pages 512-522.
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Mohammad Siddique. (2009) Smoothing of Crank-Nicolson Method for 2-D Inhomogeneous Parabolic Problems with Nonlocal Boundary Conditions. Smoothing of Crank-Nicolson Method for 2-D Inhomogeneous Parabolic Problems with Nonlocal Boundary Conditions.
Whye-Teong Ang & Ean-Hin Ooi. (2008) A dual-reciprocity boundary element approach for solving axisymmetric heat equation subject to specification of energy. Engineering Analysis with Boundary Elements 32:3, pages 210-215.
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Whye-Teong Ang. (2006) A numerical method for the wave equation subject to a non-local conservation condition. Applied Numerical Mathematics 56:8, pages 1054-1060.
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Whye-Teong Ang. (2005) A time-stepping dual-reciprocity boundary element method for anisotropic heat diffusion subject to specification of energy. Applied Mathematics and Computation 162:2, pages 661-678.
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Mehdi Dehghan. (2004) Numerical procedures for a boundary value problem with a non-linear boundary condition. Applied Mathematics and Computation 147:1, pages 291-306.
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Mehdi Dehghan. (2003) Parallel techniques for a boundary value problem with non-classic boundary conditions. Applied Mathematics and Computation 137:2-3, pages 399-412.
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W.T Ang & A.B Gumel. (2001) A boundary integral method for the three-dimensional heat equation subject to specification of energy. Journal of Computational and Applied Mathematics 135:2, pages 303-311.
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W.T. Ang. (2001) A boundary integral equation method for the two-dimensional diffusion equation subject to a non-local condition. Engineering Analysis with Boundary Elements 25:1, pages 1-6.
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