{"id":"W4220957588","doi":"10.3390/axioms11030133","title":"An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations","year":2022,"lang":"en","type":"article","venue":"Axioms","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Bessel function; Robustness (evolution); Generalization; Mathematics; Differential equation; Bessel polynomials; Simplicity; Applied mathematics; Algebraic equation; Bessel process; Algorithm; Mathematical analysis; Nonlinear system; Orthogonal polynomials; Jacobi polynomials","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002978068,0.0001884406,0.0002021506,0.000252849,0.001324816,0.00007092489,0.0001686163,0.00007019971,0.004010707],"category_scores_gemma":[0.0003298358,0.0002105945,0.000158714,0.0004050378,0.0000600762,0.0003347801,0.00007288763,0.0002409702,0.00003261466],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003312377,"about_ca_system_score_gemma":0.00009724043,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002621923,"about_ca_topic_score_gemma":0.00003081228,"domain_scores_codex":[0.9982753,0.0002319368,0.0003422977,0.0003722383,0.0005053487,0.0002728979],"domain_scores_gemma":[0.9980996,0.0009998302,0.0001866769,0.0003336809,0.0002957307,0.00008450611],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006874078,0.001945163,0.000006902617,0.00004098355,0.0002602465,0.000001031225,0.0007968339,0.002185441,0.01166566,0.9318033,0.002253035,0.04897268],"study_design_scores_gemma":[0.001374941,0.0003495442,0.00160274,0.000005779192,0.0001660505,0.00001316387,0.0004557716,0.8170778,0.000845961,0.1761983,0.001571778,0.0003382096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03556228,0.00001847153,0.9610926,0.0001387361,0.001011299,0.001297805,0.0004101356,0.0001971778,0.0002714771],"genre_scores_gemma":[0.9571038,2.71241e-7,0.03527594,0.00007760175,0.0004140784,0.003451348,0.002039808,0.00005789194,0.001579218],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9258167,"threshold_uncertainty_score":0.9999753,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04079916341396381,"score_gpt":0.3111384054178837,"score_spread":0.2703392420039199,"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."}}