Optimal Solutions of the Time-Fractional Wave Models
Bibliographic record
Abstract
In this article, we provide an update on the optimal auxiliary function method (OAFM) in this work. This semi-analytical approach uses the Caputo fractional derivative operator (FOAFM) to solve fractional order differential equations. The efficiency and reliability of the method are shown by using modified equal-width model (MEW), equal-width model (EW), and regularized long wave model (RLW). Hydromagnetics waves in cold plasma are largely dependent on the aforementioned models. Our objective is to study the nonlinear behavior of the plasma system and determine its important features. The results show that even at the first iteration, our proposed method is simple, less expensive computationally, and rapidly converges to accurate results. The presence of the proper auxiliary constants allows for the achievement of convergence and stability. The technique has a remarkable ability to solve many different scientific and technical problems.
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How this classification was reachedexpand
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 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".