{"id":"W3019408721","doi":"10.3390/app10082850","title":"Numerical Simulation for Fractional-Order Bloch Equation Arising in Nuclear Magnetic Resonance by Using the Jacobi Polynomials","year":2020,"lang":"en","type":"article","venue":"Applied Sciences","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Bloch equations; Jacobi polynomials; Fractional calculus; Nuclear magnetic resonance; Order (exchange); Mathematics; Physics; Mathematical analysis; Orthogonal 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043391,0.0004112188,0.0005906586,0.0004754986,0.0008367893,0.0006072778,0.0006753458,0.00131163,0.00203486],"category_scores_gemma":[0.00133744,0.0002177175,0.0005597323,0.0006797376,0.0007247418,0.0006349901,0.0005552018,0.0006555011,0.0001818395],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006256141,"about_ca_system_score_gemma":0.000837029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01222156,"about_ca_topic_score_gemma":0.004768397,"domain_scores_codex":[0.9998228,0.0000572941,0.000007896461,0.00001699256,0.00005603877,0.00003900194],"domain_scores_gemma":[0.9994747,0.0003055916,0.00005849922,0.00003570622,0.00009584392,0.00002974355],"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":[0.00003892293,0.00003464354,0.0007094487,0.00004438061,0.00001153726,0.0000869915,0.00008468091,0.9799234,0.001983984,0.01311456,0.0002727115,0.00369479],"study_design_scores_gemma":[0.000003987679,0.000006281665,0.00004943443,0.000002585164,0.000001411286,0.000006448367,0.000009621461,0.9986365,0.000309512,0.000796294,0.0001749942,0.000002949373],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3541636,0.00107044,0.6086459,0.0009752063,0.0002654359,0.0001114845,0.0002976423,0.0005431867,0.03392711],"genre_scores_gemma":[0.9210488,0.0003862406,0.07315376,0.00008900501,0.00003238554,0.0001521588,0.0001361267,0.0000733554,0.004928192],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01222156,"threshold_uncertainty_score":0.02430087,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1421765138964032,"score_gpt":0.3615672770854209,"score_spread":0.2193907631890177,"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."}}