{"id":"W3174935786","doi":"10.18280/mmep.080310","title":"Mathematical Modelling in Engineering with Integral Transforms via Modified Adomian Decomposition Method","year":2021,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Adomian decomposition method; Homogeneous; Mathematics; Decomposition; Decomposition method (queueing theory); Applied mathematics; Homogeneous differential equation; Work (physics); Mathematical analysis; Ordinary differential equation; Differential equation; Differential algebraic 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005311475,0.0003892227,0.0006035031,0.0002649983,0.0001029688,0.0001214912,0.0001243095,0.0002074849,0.00003973115],"category_scores_gemma":[0.00009994185,0.0003394613,0.0001237376,0.000399161,0.00003147251,0.0002699101,0.00003848411,0.0005954697,0.000009912158],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001313404,"about_ca_system_score_gemma":0.00004038963,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002561465,"about_ca_topic_score_gemma":0.000009172315,"domain_scores_codex":[0.9978327,0.00004216495,0.0007824202,0.0004430595,0.0003804509,0.0005192277],"domain_scores_gemma":[0.9985248,0.000791182,0.00007447592,0.000302698,0.0001105999,0.000196251],"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":[0.00001166056,0.0001944862,0.000001057403,0.0008699476,0.00005143145,0.000009157604,0.0006032361,0.733317,0.0007529262,0.2640119,9.364465e-7,0.0001762233],"study_design_scores_gemma":[0.0004643276,0.00002974519,0.000001730476,0.0009171905,0.00007045074,0.0001328727,0.00004096752,0.7256857,0.0006699312,0.271679,0.000007304038,0.0003007989],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04289261,0.00008895214,0.9558688,0.000193758,0.00004575562,0.000364805,0.000008551391,0.0002542274,0.0002825866],"genre_scores_gemma":[0.4931076,0.00001533254,0.506617,0.000005618062,0.00002735775,0.0001082609,0.00001884347,0.00005968167,0.00004039382],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.450215,"threshold_uncertainty_score":0.9999058,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04821066498075904,"score_gpt":0.2819353174085957,"score_spread":0.2337246524278366,"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."}}