{"id":"W4283833425","doi":"10.18280/mmep.090318","title":"Numerical Approximation of Nonlinear Duffing Oscillator Using a Coupled Approach","year":2022,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Duffing equation; Nonlinear system; Collocation (remote sensing); Mathematics; Polynomial; Applied mathematics; Mathematical analysis; Computer science; Physics; Quantum mechanics","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":[0.0004328876,0.0001598859,0.0003180896,0.0001534134,0.0002196103,0.00002661638,0.0001045006,0.00005293511,0.00004178132],"category_scores_gemma":[0.0001494957,0.0001621108,0.00007992988,0.000289547,0.00002927357,0.00008745898,0.00008257836,0.0002638804,0.000001329188],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008545868,"about_ca_system_score_gemma":0.00002854721,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002135899,"about_ca_topic_score_gemma":5.553033e-8,"domain_scores_codex":[0.9986516,0.00003441269,0.00048799,0.0002171308,0.0003871913,0.0002217129],"domain_scores_gemma":[0.9992334,0.0003148227,0.0001308543,0.0001895742,0.00005789588,0.00007350756],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000004705197,0.000228241,0.000004055182,0.0005364864,0.00003223979,2.246275e-7,0.0004753551,0.8968287,0.00094022,0.1009268,0.000003240786,0.00001970214],"study_design_scores_gemma":[0.0001918898,0.00002858822,0.000001849797,0.00006074844,0.00004994057,0.00003023436,0.00007369917,0.944064,0.00004749757,0.05527061,0.00002590368,0.0001550073],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1518553,0.00005302116,0.847517,0.00002329098,0.00004615795,0.0002634275,0.00001001926,0.0001082422,0.0001235277],"genre_scores_gemma":[0.5896344,0.000002062572,0.4102182,0.000002302248,0.00002246726,0.00006226903,0.00001013046,0.00002802615,0.00002005777],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4377791,"threshold_uncertainty_score":0.6610685,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07744448775492663,"score_gpt":0.2650112820862673,"score_spread":0.1875667943313407,"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."}}