?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=PENERAPAN+METODE+DEKOMPOSISI+ADOMIAN+LAPLACE+DALAM%0D%0AMENENTUKAN+SOLUSI+PERSAMAAN+KORTEWEG-DE+VRIES&rft.creator=ARLINDA%2C++FEBRIYANTI%09&rft.subject=510+Matematika&rft.description=Metode+dekomposisi+Adomian+Laplace+merupakan+metode+semi+analitik+yang%0D%0Amenggabungkan+antara+transformasi+Laplace+dan+metode+dekomposisi+Adomian%0D%0Adalam+menyelesaikan+persamaan+diferensial+nonlinier.+Persamaan+Korteweg-de%0D%0AVries+(KdV)+adalah+salah+satu+contoh+persamaan+diferensial+parsial+nonlinier.%0D%0APersamaan+ini+memodelkan+gelombang+permukaan+air+dalam+suatu+saluran.+Dalam%0D%0Apenelitian+ini%2C+metode+dekomposisi+Adomian+Laplace+diterapkan+pada+persamaan%0D%0AKdV+serta+menyelesaikan+studi+kasus+beberapa+kondisi+awal.+Kemudian%2C+solusi+yang%0D%0Adiperoleh+dibandingkan+dengan+solusi+eksak+yang+diambil+dari+studi+sebelumnya%0D%0Aoleh+Yassein+%26+Aswhad+(2019).+Dari+perhitungan+menggunakan+metode%0D%0Adekomposisi+Adomian+Laplace+menunjukkan+bahwa+solusi+yang+diperoleh+sama%0D%0Adengan+solusi+eksaknya.%0D%0AKata+kunci%3A+Metode+Dekomposisi+Adomian+Laplace%2C+persamaan+diferensial+parsial%0D%0Anonlinier%2C+persamaan+Korteweg-de+Vries%2C+kondisi+awal.%0D%0A%0D%0AThe+Adomian+Laplace+decomposition+method+is+a+semi-analytic+method+that%0D%0Acombines+the+Laplace+transformation+and+the+Adomian+decomposition+method+in%0D%0Asolving+nonlinear+differential+equations.+The+Korteweg-de+Vries+(KdV)+equation+is%0D%0Aan+example+of+a+nonlinear+partial+differential+equation.+This+equation+models+water%0D%0Asurface+waves+in+channel.+In+this+research%2C+the+Adomian+Laplace+decomposition%0D%0Amethod+is+applied+to+the+KdV+equation+and+solves+a+case+study+of+several+initial%0D%0Aconditions.+Then%2C+the+solution+obtained+was+compared+with+the+exact+solution+taken%0D%0Afrom+previous+research+by+Yassein+%26+Aswhad+(2019).+Calculations+using+the%0D%0AAdomian+Laplace+decomposition+method+show+that+the+solution+obtained+is+the%0D%0Asame+as+the+exact+solution.%0D%0AKata+kunci%3A+Adomian+Laplace+Decomposition+Method%2C+nonlinear+partial+differential%0D%0Aequations%2C+Korteweg-de+Vries+Equation%2C+intial+conditions.&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM&rft.date=2024-05-27&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F86127%2F1%2F1.%2520ABSTRAK%2520-%2520ABSTRACT%2520-%2520ARLINDA%2520FEBRIYANTI.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F86127%2F2%2F2.%2520SKRIPSI%2520FULL%2520-%2520ARLINDA%2520FEBRIYANTI.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F86127%2F3%2F3.%2520SKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN%2520-%2520ARLINDA%2520FEBRIYANTI.pdf&rft.identifier=++ARLINDA%2C+FEBRIYANTI+++(2024)+PENERAPAN+METODE+DEKOMPOSISI+ADOMIAN+LAPLACE+DALAM+MENENTUKAN+SOLUSI+PERSAMAAN+KORTEWEG-DE+VRIES.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F86127%2F