<p>Convergence and Stability Analysis.</p>

Numerical experiment results validate a Hermite polynomial-based least-squares method for solving Volterra–Fredholm fractional integro-differential equations. The dataset contains tabulated outcomes and comparative graphical illustrations from the study. Author Maha M. Hamood published the data on figshare in April 2026.

Use Cases

• Benchmark solver accuracy by comparing numerical results against known analytical solutions for the test equations.
• Analyze computational efficiency trends from execution data across different problem examples.
• Study convergence rates using error metrics tabulated for increasing polynomial expansion terms.
• Validate the stability of the proposed method using residual function data presented in the tables.

Strengths

• Results are validated on a collection of representative example equations.
• Data is presented in detailed tables and comparative graphical illustrations.
• Published under a permissive CC-BY-4.0 license.

Limitations

• The dataset is very small at 5.5 KB, indicating limited scope and few data points.
• The specific row count, column names, and sample data are unavailable for inspection.
• The data is synthetic, generated from numerical experiments on mathematical examples, not real-world observations.

Provenance

Source

Maha M. Hamood via figshare.

Collection Method

Generated from numerical experiments on a collection of representative mathematical examples.

Time Range

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Freshness

Last updated April 2026.

Geography

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