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A high-order numerical scheme for singularly perturbed parabolic time delay problem with two small parameters
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DOI：10.1080/27684830.2025.2463184.png)
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Abstract
En 中文
In this paper, we construct and analyse a higher-order numerical scheme for a singularly perturbed parabolic time delay problem with two small parameters. The problem is discretized using the Crank-Nicolson method and exponential fitted cubic spline method for time and space variables on equidistant mesh, respectively. The parameter uniform convergence analysis of the proposed scheme is established and is second-order parameter uniform convergent. To demonstrate the accuracy and validate the theoretical results of the proposed numerical scheme we have conducted two numerical experiments and did a comparison with existing schemes in the literature to show the betterment of the proposed numerical scheme.
Keywords:
Singularly perturbed problems
time delay
Crank-Nicolson method
exponentially cubic spline method
parameter uniform convergent method
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R
IF:
1.1
Papers:
72
Citations:
0
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