{"id":"W4411134264","doi":"10.28924/2291-8639-23-2025-138","title":"A New Generalized Differential Transform Method for Analytical Solutions of the Bagley-Torvik Equation","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Differential (mechanical device); Differential equation; Applied mathematics; Calculus (dental); Mathematical analysis; Thermodynamics; Physics; Medicine","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005072416,0.0001116329,0.0003962893,0.0004669851,0.0001332299,0.00005653634,0.0004434156,0.00006623997,0.00008424329],"category_scores_gemma":[0.0004045075,0.00007784821,0.0007279826,0.0008336902,0.00005952163,0.00009205179,0.00005839662,0.0001251989,2.893613e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006637622,"about_ca_system_score_gemma":0.0001461159,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000788084,"about_ca_topic_score_gemma":0.00008144816,"domain_scores_codex":[0.9983897,0.0001162023,0.000850838,0.000144827,0.000381794,0.0001167053],"domain_scores_gemma":[0.997473,0.000925196,0.0005457911,0.0002034273,0.0007792423,0.00007337103],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006831983,0.0002626283,0.0004147588,0.00001964493,0.003950804,7.80298e-8,0.000105948,0.0003042589,0.004051842,0.8418869,0.0004331029,0.1485017],"study_design_scores_gemma":[0.001022976,0.00003394501,0.003343104,0.00003493189,0.005524838,0.000003241129,0.00006799182,0.04832552,0.00247775,0.9352298,0.003836097,0.00009982208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003066639,0.00005893694,0.9911124,0.005030585,0.0001532238,0.0002973915,0.00005929655,0.000006999887,0.000214601],"genre_scores_gemma":[0.344825,0.00006182607,0.6535769,0.0001153568,0.0003226614,0.00007677735,0.00002314937,0.00001289697,0.0009854661],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3417583,"threshold_uncertainty_score":0.3174558,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.061444680047753,"score_gpt":0.4165630432380932,"score_spread":0.3551183631903402,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}