{"id":"W4408119437","doi":"10.28924/2291-8639-23-2025-58","title":"Three Step Hybrid Block Method with Two Generalized Off-step Points for Directly Solving Third Order Ordinary Differential Equations","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Third order; Ordinary differential equation; Block (permutation group theory); Order (exchange); Applied mathematics; Reduction of order; Differential equation; Differential algebraic equation; Mathematical analysis; Combinatorics","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":[0.0006260619,0.0002233127,0.0006156761,0.00080922,0.0002611142,0.0001817679,0.0004886568,0.00005340472,0.00008920271],"category_scores_gemma":[0.0004421548,0.0001738712,0.0004356976,0.000911456,0.0000788117,0.000166272,0.0001113546,0.0002120519,0.000001524908],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009469043,"about_ca_system_score_gemma":0.0001294218,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009602755,"about_ca_topic_score_gemma":0.0003753639,"domain_scores_codex":[0.997907,0.0001413053,0.000931212,0.000310096,0.0005110385,0.0001993239],"domain_scores_gemma":[0.9951605,0.001981724,0.0007934746,0.0002921995,0.001655305,0.0001168368],"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":[0.0005576599,0.001645496,0.002956916,0.0000765327,0.02282714,0.000007831739,0.0001531062,0.001666627,0.00817638,0.5400119,0.001821056,0.4200993],"study_design_scores_gemma":[0.005310572,0.0002310612,0.003584148,0.0001822622,0.0140704,0.00005976151,0.0001807875,0.270625,0.003162172,0.6867947,0.01516394,0.0006352158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01240796,0.0001447823,0.984585,0.001895647,0.0001217132,0.0004415858,0.00009975288,0.00002954821,0.0002740313],"genre_scores_gemma":[0.1051934,0.0000606709,0.8936508,0.0001357305,0.0002896024,0.000206229,0.00005737795,0.0000239659,0.0003821791],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4194641,"threshold_uncertainty_score":0.7090263,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.031062867441082,"score_gpt":0.3822631851771903,"score_spread":0.3512003177361083,"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."}}