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A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems

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  • Amare Worku Demsie
  • Awoke Andargie Tiruneh
  • Endalew Getnet Tsega

Abstract

In the present work, a class of singularly perturbed unsteady reaction–diffusion problem is considered. With the existence of a small parameter ε, (0

Suggested Citation

  • Amare Worku Demsie & Awoke Andargie Tiruneh & Endalew Getnet Tsega, 2025. "A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnljam:v:2025:y:2025:i:1:n:4603501
    DOI: 10.1155/jama/4603501
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    References listed on IDEAS

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    1. Dagnachew Mengstie Tefera & Awoke Andargie Tiruneh & Getachew Adamu Derese, 2021. "Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    2. Kumar, Sunil & Sumit, & Ramos, Higinio, 2021. "Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    3. Dagnachew Mengstie Tefera & Awoke Andargie Tiruneh & Getachew Adamu Derese, 2021. "Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-12, October.
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    Cited by:

    1. Amare Worku Demsie & Awoke Andargie Tiruneh & Endalew Getnet Tsega, 2025. "An Exponentially Fitted Upwind Scheme for Singularly Perturbed Differential Equations With Mixed Shift Parameters," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    2. Amare Worku Demsie & Awoke Andargie Tiruneh & Endalew Getnet Tsega, 2025. "A Fitted Linear Multistep Approach for Singularly Perturbed Parabolic‐Type Reaction–Diffusion Problems Using Shishkin Meshes," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).

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    1. Amare Worku Demsie & Awoke Andargie Tiruneh & Endalew Getnet Tsega, 2025. "A Fitted Linear Multistep Approach for Singularly Perturbed Parabolic‐Type Reaction–Diffusion Problems Using Shishkin Meshes," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
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