{"id":"W2064041357","doi":"10.1002/htj.20292","title":"He's homotopy perturbation method for two‐dimensional heat conduction equation: Comparison with finite element method","year":2010,"lang":"en","type":"article","venue":"Heat Transfer-Asian Research","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Homotopy analysis method; Partial differential equation; Mathematics; Thermal conduction; Boundary value problem; Finite element method; Mathematical analysis; Homotopy; Applied mathematics; Method of fundamental solutions; Taylor series; Perturbation (astronomy); Heat equation; Homotopy perturbation method; Adomian decomposition method; Boundary element method; Boundary knot method; Physics; Thermodynamics","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003770359,0.0003423094,0.0004944624,0.0006610117,0.001241113,0.000179438,0.00029049,0.0002595116,0.001299608],"category_scores_gemma":[0.0007768296,0.0003036863,0.0002114667,0.0008559594,0.0002051304,0.0004152736,0.00003665574,0.001294321,0.00007046838],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002936949,"about_ca_system_score_gemma":0.0004548655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000382906,"about_ca_topic_score_gemma":0.001832028,"domain_scores_codex":[0.9949702,0.001053219,0.0007623046,0.0007536381,0.001669054,0.0007915611],"domain_scores_gemma":[0.9925543,0.004988449,0.00002542638,0.00064834,0.001485579,0.0002978936],"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":[0.001143536,0.002286153,0.0001995686,0.0003532612,0.0004322566,0.000005554781,0.002196732,0.01323678,0.1758541,0.7876761,0.004441608,0.01217432],"study_design_scores_gemma":[0.005259704,0.001574857,0.0007868289,0.0001518342,0.0003081477,0.00008470008,0.0009879915,0.7667691,0.07569077,0.1390082,0.008653461,0.0007244436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02457975,0.00003252042,0.9599584,0.01030041,0.0004189733,0.002743061,0.0001495284,0.0001565824,0.00166077],"genre_scores_gemma":[0.504729,0.000004260364,0.4914341,0.00008188923,0.0004872458,0.001472754,0.0004830088,0.00009199962,0.001215696],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7535323,"threshold_uncertainty_score":0.9999415,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2303594167122109,"score_gpt":0.4758363758188633,"score_spread":0.2454769591066524,"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."}}