New Optimum solutions of The Time-Fractional Fitzhugh-Nagumo Equations
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Bibliographic record
Abstract
The purpose and objective of the present work are to show the reliability and effectiveness of the newly developed semi-numerical method, i-e, the Optimal Auxiliary Function method OAFM, by solving the fractional problems of Fitzhugh-Nagumo. We have developed OAFM mathematical formulations for nonlinear partial differential equations PDEs. The implementation of the OAFM achieves a fast serial convergence solution. The analysis shows that the proposed method has a simplified implementation and needless computational work, is extremely accurate, and converges rapidly. Tables were constructed to compare the numerical results with the problems' exact solutions to see the errors.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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