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International Journal of Computer Mathematics Volume 97, 2020 - Issue 4
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Original Articles

A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems

Maneesh Kumar SinghDepartment of Mathematics, Indian Institute of Technology, Guwahati, IndiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-2623-5441
ORCID Icon &
Srinivasan NatesanDepartment of Mathematics, Indian Institute of Technology, Guwahati, IndiaORCID Iconhttps://orcid.org/0000-0001-7527-1989
ORCID Icon
Pages 875-905 | Received 02 Feb 2018, Accepted 22 Feb 2019, Published online: 03 Apr 2019

Citations (9)

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D. Avijit & S. Natesan. (2022) Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs. International Journal of Computer Mathematics 99:8, pages 1595-1616.
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Articles from other publishers (8)

Carmelo Clavero, Ram Shiromani & Vembu Shanthi. (2024) A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection–reaction–diffusion PDEs. Journal of Computational and Applied Mathematics 436, pages 115422.
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Fujun Cao, Fei Gao, Xiaobin Guo & Dongfang Yuan. (2023) Physics-informed neural networks with parameter asymptotic strategy for learning singularly perturbed convection-dominated problem. Computers & Mathematics with Applications 150, pages 229-242.
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Manikandan Mariappan, Chandru Muthusamy & Higinio Ramos. (2023) Second-Order Robust Numerical Method for a Partially Singularly Perturbed Time-Dependent Reaction–Diffusion System. Mathematics 11:12, pages 2685.
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Kuldeep & Sunil Kumar. (2022) Efficient High-Order Discretization Methods for Coupled Systems of Singularly Perturbed Parabolic Convection-Diffusion Problems. International Journal of Computational Methods 19:05.
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Ram Jiwari, Sukhveer Singh & Paramjeet Singh. (2022) Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients. Journal of Mathematics 2022, pages 1-11.
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Sonu Bose & Kaushik Mukherjee. 2022. Modeling, Simulation and Optimization. Modeling, Simulation and Optimization 523 535 .
Srinivasan Natesan & Maneesh K. Singh. (2021) Robust computational method for singularly perturbed system of parabolic convection‐diffusion problems with interior layers. Computational and Mathematical Methods 3:6.
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Maneesh Kumar Singh, Gautam Singh & Srinivasan Natesan. (2020) A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature. Journal of Applied Mathematics and Computing 66:1-2, pages 221-243.
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