Mathematical and Computer Modelling of Dynamical Systems (Dec 2024)

Non-polynomial spline approach for solving system of singularly perturbed delay differential equations of large delay

  • Dany Joy,
  • Dinesh Kumar S

DOI
https://doi.org/10.1080/13873954.2024.2314600
Journal volume & issue
Vol. 30, no. 1
pp. 179 – 201

Abstract

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ABSTRACTA computational technique for analysing coupled system of singularly perturbed convection-diffusion delay differential equations with large delay is presented in this study. We solve this problem using non-polynomial spline technique and arrive at a system that can potentially be solved. To show the theoretical investigation, an example is solved for different perturbation parameter values, and the computational results are shown in tables. The model we have proposed is of first order convergent, and this technique indicated that the acquired findings were more accurate than earlier results.

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