{"id":"W4417100935","doi":"10.5539/jmr.v16n4p38","title":"Advancements and Applications of the Adomian Decomposition Method in Solving Nonlinear Differential Equations","year":2024,"lang":"","type":"article","venue":"Journal of Mathematics Research","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Adomian decomposition method; Nonlinear system; Decomposition; Adaptability; Science and engineering; Simplicity; Differential equation; Differential (mechanical device)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002377697,0.001201314,0.0007705233,0.0013095,0.0008465891,0.001720109,0.0008510225,0.001409163,0.00225025],"category_scores_gemma":[0.00443045,0.0005308414,0.001309371,0.001208648,0.001921132,0.001429115,0.001919243,0.003284272,0.0007399713],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008890557,"about_ca_system_score_gemma":0.001493701,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003059964,"about_ca_topic_score_gemma":0.002627679,"domain_scores_codex":[0.9988606,0.0005522561,0.00007029859,0.00010684,0.0003588592,0.00005116097],"domain_scores_gemma":[0.9984816,0.0009613884,0.00008542753,0.0001523781,0.000250301,0.0000688787],"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":[0.0000549852,0.00007991965,0.001424624,0.0006513727,0.00006690203,0.0002512515,0.0004346572,0.2299236,0.006060623,0.5873304,0.004980856,0.1687409],"study_design_scores_gemma":[0.00001591153,0.00004963826,0.0004138901,0.0002219204,0.00002111758,0.0001792515,0.00009303528,0.769555,0.002318222,0.1833933,0.04368939,0.00004928749],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00647257,0.01395957,0.9466814,0.002217791,0.000528175,0.00005360131,0.00006957089,0.0001102526,0.02990706],"genre_scores_gemma":[0.208816,0.03257969,0.7440152,0.0005623546,0.000984981,0.0002249671,0.0001675882,0.0001742221,0.01247489],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003059964,"threshold_uncertainty_score":0.01257467,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1220117765446953,"score_gpt":0.4960121576960212,"score_spread":0.3740003811513259,"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."}}