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International Journal of Computer Mathematics Volume 85, 2008 - Issue 5
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Original Articles

Crank–Nicolson finite difference method based on a midpoint upwind scheme on a non-uniform mesh for time-dependent singularly perturbed convection–diffusion equations

M. K. Kadalbajoo Department of Mathematics, Indian Institute of Technology, Kanpur, India
&
Ashish Awasthi Department of Mathematics and Humanities, National Institute of Technology Warangal, IndiaCorrespondence[email protected]
Pages 771-790 | Received 07 Dec 2006, Accepted 23 Apr 2007, Published online: 24 Apr 2008

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Saumya Ranjan Jena & Archana Senapati. (2023) On numerical soliton and convergence analysis of Benjamin-Bona-Mahony-Burger equation via octic B-spline collocation. Arab Journal of Basic and Applied Sciences 30:1, pages 146-163.
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Articles from other publishers (10)

Dagnachew Mengstie Tefera, Awoke Andargie Tirunehi & Getachew Adamu Derese. (2024) Absolutely stable fitted mesh scheme for singularly perturbed parabolic convection diffusion equations. Reaction Kinetics, Mechanisms and Catalysis 137:2, pages 755-776.
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Saumya Ranjan Jena & Archana Senapati. (2023) Stability, convergence and error analysis of B-spline collocation with Crank–Nicolson method and finite element methods for numerical solution of Schrodinger equation arises in quantum mechanics. Physica Scripta 98:11, pages 115232.
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Mesfin Mekuria Woldaregay & Gemechis File Duressa. (2022) Boundary Layer Resolving Exact Difference Scheme for Solving Singularly Perturbed Convection-Diffusion-Reaction Equation. Mathematical Problems in Engineering 2022, pages 1-16.
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D. M. Tefera, A. A. Tiruneh & G. A. Derese. (2022) Fitted Operator Method over Gaussian Quadrature Formula for Parabolic Singularly Perturbed Convection-Diffusion Problem. Numerical Analysis and Applications 15:3, pages 256-269.
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Awoke Andargie Tiruneh, Getachew Adamu Derese & Dagnachew Mengstie Tefera. (2022) A Nonstandard Fitted Operator Method for Singularly Perturbed Parabolic Reaction-Diffusion Problems with a Large Time Delay. International Journal of Mathematics and Mathematical Sciences 2022, pages 1-11.
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Dagnachew Mengstie Tefera, Awoke Andargie Tiruneh & Getachew Adamu Derese. (2022) Fitted Operator Method Using Multiple Fitting Factors for Two Parameters Singularly Perturbed Parabolic Problems. Mathematical Problems in Engineering 2022, pages 1-10.
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Archna Kumari & V. K. Kukreja. (2021) Error bounds for septic Hermite interpolation and its implementation to study modified Burgers’ equation. Numerical Algorithms 89:4, pages 1799-1821.
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Satinder Pal Kaur, Ajay Kumar Mittal, V. K. Kukreja, Archna Kaundal, N. Parumasur & P. Singh. (2021) Analysis of a linear and non-linear model for diffusion–dispersion phenomena of pulp washing by using quintic Hermite interpolation polynomials. Afrika Matematika 32:5-6, pages 997-1019.
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Mesfin Mekuria Woldaregay, Worku Tilahun Aniley & Gemechis File Duressa. (2021) Novel Numerical Scheme for Singularly Perturbed Time Delay Convection-Diffusion Equation. Advances in Mathematical Physics 2021, pages 1-13.
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Shelly Arora, Rajiv Jain & V.K. Kukreja. (2020) Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines. Applied Numerical Mathematics 154, pages 1-16.
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