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September 10, 2025Numerical Methods for Partial Differential Equations

Pointwise Error Estimation for L1 Method in Fractional Time‐Delay Reaction‐Diffusion Equations With Multiple Singularities

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Authors

YPY.N. Peng DCDakang CenSouthern University of Science and Technology SVSeakweng VongUniversity of Macau

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Implication

This analysis finds the convergence rate of the L1 method for fractional time-delay equations, suggesting its effectiveness in addressing singularities.

Key Points

The proposed L1 scheme achieves a convergence rate at a specified condition, confirming error estimates.
Numerical experiments validate theoretical predictions, demonstrating success in addressing issues at singularities.
A pointwise error analysis reveals how the delay parameter and order of the Caputo derivative influence performance.
The method efficiently resolves singular behavior across multiple delay interfaces.

Cite This Study

Peng et al. (2025) studied this question.

synapsesocial.com/papers/68c1dd9b54b1d3bfb60fc2c9 https://doi.org/10.1002/num.70032

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Implication

This analysis finds the convergence rate of the L1 method for fractional time-delay equations, suggesting its effectiveness in addressing singularities.

Pointwise Error Estimation for L1 Method in Fractional Time‐Delay Reaction‐Diffusion Equations With Multiple Singularities

Discussion

Member takes

Implication

Key Points

Cite This Study

Pointwise Error Estimation for L1 Method in Fractional Time‐Delay Reaction‐Diffusion Equations With Multiple Singularities

Discussion

Member takes

Implication

Key Points

Cite This Study

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