{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001654801,0.0002826701,0.0005514247,0.0003752262,0.0001783087,0.0001679182,0.0001369069,0.0001176335,0.00004514325],"category_scores_gemma":[0.0003947664,0.000254128,0.0001576528,0.0006632718,0.00004863133,0.0002007915,0.00007962158,0.0003041797,0.00001183856],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005413,"about_ca_system_score_gemma":0.0000253413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001445994,"about_ca_topic_score_gemma":9.953544e-7,"domain_scores_codex":[0.9982786,0.00008411038,0.0006531869,0.0003447461,0.0002782012,0.000361184],"domain_scores_gemma":[0.9978727,0.001477423,0.0001057411,0.0003083628,0.0001342627,0.0001015302],"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":[0.000003734812,0.00007471608,0.000009890855,0.0004415587,0.0003401291,5.468816e-7,0.0006180145,0.8330774,0.001451109,0.1635896,0.00006734072,0.0003259612],"study_design_scores_gemma":[0.0002466287,0.00001336246,8.095372e-7,0.0001847438,0.0003698542,0.000001768015,0.00002124302,0.7326963,0.001273514,0.2649034,0.0001053848,0.0001830003],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02521693,0.0001517636,0.9728198,0.0001476491,0.00004886523,0.0003270588,0.00001532992,0.0002103664,0.001062255],"genre_scores_gemma":[0.1121087,0.000006513391,0.8863299,0.00002853626,0.00003062751,0.00006002937,0.00003467202,0.00003447658,0.001366558],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1013138,"threshold_uncertainty_score":0.9999911,"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."}}