Hermite Polynomial Method Error Norms for Fractional Integro-Differential Equations

Maha M. Hamood's figshare dataset from 2026 contains numerical results for a Hermite polynomial-based least-squares method applied to Volterra-Fredholm fractional integro-differential equations. The 5.5 KB XLS file presents convergence data for residual and true error norms across a series of numerical experiments. It serves as the supporting data for a study validating the accuracy and efficiency of the proposed computational technique.

Use Cases

• Benchmark new solver accuracy by comparing residual error norms against the provided true error norms for specific example problems.
• Analyze convergence rates of the Hermite polynomial method by examining the progression of error norms across different experimental configurations.
• Validate numerical implementations by replicating the tabulated results for residual function values from the solved linear algebraic systems.

Strengths

• Data supports a peer-reviewed numerical study with explicit methodology for solving V-FFIDEs.
• Results are presented in a structured XLS format, facilitating direct numerical comparison.
• Dataset is openly licensed under CC-BY-4.0 for reuse and verification.

Limitations

• Dataset is very small at 5.5 KB, indicating limited scope and likely a small number of example problems.
• No raw column names or sample data are provided, obscuring the exact structure of the tabulated results.
• The data is synthetic, generated from numerical experiments rather than representing real-world physical measurements.

Provenance

Source

Maha M. Hamood via figshare.

Collection Method

Generated from numerical experiments applying a Hermite polynomial least-squares method to example Volterra-Fredholm fractional integro-differential equations.

Freshness

Last updated in April 2026.