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International Journal of Computer Mathematics Volume 86, 2009 - Issue 1
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Section B

A high-order ADI method for parabolic problems with variable coefficients

Samir Karaa Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Sultanate of OmanCorrespondence[email protected]
Pages 109-120 | Received 06 Jan 2008, Accepted 22 Apr 2008, Published online: 07 Nov 2008

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Cui-cui Ji, Rui Du & Zhi-zhong Sun. (2018) Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives. International Journal of Computer Mathematics 95:1, pages 255-277.
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Qifeng Zhang, Dongfang Li, Chengjian Zhang & Dinghua Xu. (2016) Multistep finite difference schemes for the variable coefficient delay parabolic equations. Journal of Difference Equations and Applications 22:6, pages 745-765.
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Qifeng Zhang, Maohua Ran & Zhong Li. (2016) Numerical approximation for two-dimensional neutral parabolic differential equations with delay. International Journal of Modelling and Simulation 36:1-2, pages 12-19.
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Qifeng Zhang, Chengjian Zhang & Dingwen Deng. (2014) Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations. International Journal of Computer Mathematics 91:5, pages 964-982.
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Articles from other publishers (4)

Xuan Zhao, Haifeng Zhang & Ren-jun Qi. (2024) Stability and convergence of BDF2-ADI schemes with variable step sizes for parabolic equation. Applied Numerical Mathematics.
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Bernard Bialecki & Ryan I. Fernandes. (2016) Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions. Numerical Algorithms 74:4, pages 1083-1100.
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Francisco J. Domínguez-Mota, Sanzon Mendoza Armenta, G. Tinoco-Guerrero & J.G. Tinoco-Ruiz. (2014) Finite difference schemes satisfying an optimality condition for the unsteady heat equation. Mathematics and Computers in Simulation 106, pages 76-83.
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Matthew R. Mata & Andrea L. Bertozzi. (2011) A numerical scheme for particle-laden thin film flow in two dimensions. Journal of Computational Physics 230:16, pages 6334-6353.
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