{"id":"W1509278029","doi":"","title":"Collocation Approximation Methods For The Numerical Solutions Of General N th Order Nonlinear Integro-Differential Equations By Canonical Polynomial","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Orthogonal collocation; Mathematics; Collocation (remote sensing); Polynomial; Order (exchange); Nonlinear system; Applied mathematics; Collocation method; Differential equation; Mathematical analysis; Computer science; Ordinary differential equation; Physics","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.006664695,0.0001904523,0.0004850535,0.0004266496,0.0006414498,0.00008519716,0.0005471654,0.0001928678,0.0002366707],"category_scores_gemma":[0.01373456,0.0001330104,0.0003210854,0.0007938878,0.0003029263,0.0003909492,0.0001439962,0.000776949,0.00001161229],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004062374,"about_ca_system_score_gemma":0.0007141852,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006746795,"about_ca_topic_score_gemma":0.00001600034,"domain_scores_codex":[0.9958382,0.0008168129,0.001418879,0.000143754,0.001199655,0.0005827002],"domain_scores_gemma":[0.9833267,0.0126146,0.000853234,0.0004209243,0.002585134,0.0001994525],"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":[0.0002557932,0.008815348,0.00005605569,0.0004759788,0.001114177,2.561194e-7,0.004113767,0.0007831532,0.08150225,0.8214888,0.07222519,0.009169238],"study_design_scores_gemma":[0.002098568,0.0005238588,0.0002717967,0.0001804592,0.0007545486,0.00006700678,0.002958009,0.8917342,0.01301832,0.08195744,0.006058708,0.0003770536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01171221,0.0003772615,0.9846844,0.001537331,0.0005215085,0.000865885,0.00006927142,0.00001525889,0.0002168776],"genre_scores_gemma":[0.3696192,0.00004375481,0.628512,0.00001214019,0.0008195421,0.0001567875,0.00003828652,0.00004913045,0.0007492116],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.8909511,"threshold_uncertainty_score":0.9945732,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2895348719625844,"score_gpt":0.5180612464442034,"score_spread":0.228526374481619,"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."}}