?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=METODE+DEKOMPOSISI+ADOMIAN+LAPLACE+UNTUK+SOLUSI+PERSAMAAN+DIFERENSIAL+RICCATI&rft.creator=+RIYANA+SARI+%2C+1417031103&rft.subject=Q+Science+(General)&rft.subject=QA+Mathematics&rft.description=%0D%0APenelitian+ini+membahas+tentang+penyelesaian+persamaan+diferensial+Riccati+menggunakan+metode+dekomposisi+Adomian+Laplace.+Metode+dekomposisi+Adomian+Laplace+merupakan+kombinasi+antara+dua+metode%2C+yaitu+transformasi+Laplace+dan+metode+dekomposisi+Adomian.+Adapun+langkah-langkah+yang+digunakan+dalam+penyelesaian+persamaan+diferensial+Riccati%2C+yaitu+menerapkan+transformasi+Laplace+pada+persamaan+diferensial+Riccati%2C+mendefinisikan+solusi+sebagai+deret+tak+hingga+dan+menggunakan+polinomial+Adomian+untuk+menyelesaikan+suku+nonlinear+kemudian+menerapkan+invers+transformasi+Laplace.+Hasil+simulasi+dan+analisis+galat+menunjukkan+bahwa+persamaan+diferensial+Riccati+menggunakan+metode+dekomposisi+Adomian+Laplace+dapat+mendekati+solusi+eksaknya+ketika+nilai+0%E2%89%A4t%E2%89%A41.+Sedangkan+untuk+nilai+t%3E1+menjauhi+solusi+eksaknya.%0D%0A%0D%0A%0D%0AKata+kunci%3A+metode+dekomposisi+Adomian+Laplace%2C+persamaan+diferensial+Riccati%0D%0A%0D%0AABSTRACT%0D%0A%0D%0AThis+study+discusses+the+solving+of+Riccati+differensial+equation+using+Laplace+Adomian+decomposition+method.+Laplace+Adomian+decomposition+method+is+a+combination+of+the+two+methods+namely+the+Laplace+transform+and+Adomian+decomposition+method.+The+steps+used+to+solve+Riccati+differential+equation+are+applying+Laplace+transforms+to+the+Riccati+differential+equation%2C+defining+a+solution+as+infinite+series+and+using+Adomian+polynomial+to+solve+the+nonlinear%2C+then+applying+the+inverse+Laplace+transform.+The+simulation+results+and+error+analysis+showed+that+Riccati+differensial+equation+using+Laplace+Adomian+decomposition+method+is+close+to+exact+solution+for+0%E2%89%A4t%E2%89%A41.+While+for++t%3E1+away+from+exact+solution.%0D%0A%0D%0A%0D%0AKeywords%3A+Laplace+Adomian+decomposition+method%2C+Riccati+differensial+equation%0D%0A%0D%0A&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+DAN+PENGETAHUAN+ALAM+&rft.date=2018-01-09&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F29824%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F29824%2F3%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F29824%2F2%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=+++RIYANA+SARI+%2C+1417031103++(2018)+METODE+DEKOMPOSISI+ADOMIAN+LAPLACE+UNTUK+SOLUSI+PERSAMAAN+DIFERENSIAL+RICCATI.++FAKULTAS+MATEMATIKA+DAN+ILMU+DAN+PENGETAHUAN+ALAM+%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F29824%2F