Numerical Errors for Hermite Polynomial Solutions to Fractional Equations

5.5 KB of data contains numerical error results from a study solving Volterra-Fredholm fractional integro-differential equations. Maha M. Hamood authored this dataset, which was last updated in April 2026. It validates a Hermite polynomial-based least-squares method through computational experiments.

Use Cases

• Benchmark the accuracy of a Hermite polynomial-based solver against the reported error metrics.
• Analyze the relationship between polynomial expansion terms and residual error values from the results tables.
• Compare computational efficiency across different test problems using the provided execution time or iteration data.
• Validate convergence rates for fractional calculus solvers using the documented error progression across examples.

Strengths

• Data is published under a permissive CC-BY-4.0 license for reuse.
• Results are derived from a defined Hermite polynomial-based least-squares methodology.
• Includes comparative graphical illustrations alongside tabular data.

Limitations

• Dataset is very small at 5.5 KB, indicating limited scope and few examples.
• The exact number of rows, columns, and specific error metrics are not provided in the input.
• Focus is on a specific numerical method, limiting generalizability to other solution techniques.

Provenance

Source

Maha M. Hamood via figshare.

Collection Method

Generated from numerical experiments on representative test problems for Volterra-Fredholm fractional integro-differential equations.

Freshness

Last updated in April 2026.