{"id":"W4408140091","doi":"10.18280/mmep.120226","title":"Solving Two-Dimensional Black-Scholes Equation by Conformable Shehu Homotopy Analysis Method","year":2025,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Conformable matrix; Homotopy analysis method; Homotopy perturbation method; Black–Scholes model; Mathematics; Homotopy; Applied mathematics; Mathematical analysis; Pure mathematics; Physics; Econometrics","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":[0.000377115,0.0004192643,0.0008010342,0.0005507263,0.0004271207,0.0007125489,0.0007300708,0.001065193,0.002688278],"category_scores_gemma":[0.001004553,0.0001913366,0.0006769177,0.0003638295,0.0009386261,0.001221821,0.001284659,0.001087689,0.0003374501],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003982414,"about_ca_system_score_gemma":0.0007583452,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003284186,"about_ca_topic_score_gemma":0.002078446,"domain_scores_codex":[0.9998292,0.00006091012,0.000007932697,0.00002482641,0.00005904974,0.00001811105],"domain_scores_gemma":[0.9998003,0.00007762295,0.00002413916,0.00001843534,0.00005832911,0.00002120795],"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":[0.00008849231,0.00008540908,0.00124066,0.0002437154,0.0000996373,0.0003172948,0.0003505342,0.2940088,0.01440416,0.6485732,0.001991049,0.03859698],"study_design_scores_gemma":[0.000009917368,0.00001432257,0.0001073977,0.00000582158,0.000005627969,0.0000214321,0.00001840068,0.9584742,0.0006739906,0.03958724,0.001073322,0.000008363542],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04060736,0.0004017256,0.9467647,0.0003567869,0.0001130036,0.00004260493,0.00004621851,0.0001123196,0.01155526],"genre_scores_gemma":[0.767938,0.001008754,0.194539,0.000235662,0.0001702062,0.0002245447,0.0001733915,0.0001705019,0.03554003],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003284186,"threshold_uncertainty_score":0.008993208,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05537986828097876,"score_gpt":0.3327118693690061,"score_spread":0.2773320010880274,"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."}}