?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=APLIKASI+METODE+ANALISIS+TRANSFORMASI+HOMOTOPI+PADA+PERSAMAAN++u_t%2B(u%5E2+)_x%2B(u%5E2+)_xxx%3D0%0D%0A%0D%0A&rft.creator=DONGKY+PRANATA+PUTRA+%2C+1217031020&rft.subject=500+ilmu+pengetahuan+alam+dan+matematika&rft.subject=510+Matematika&rft.description=ABSTRAK%0D%0A%0D%0A%0D%0AMetode+Analisis+Transformasi+Homotopi+(HATM)+merupakan+kombinasi+Metode+Analisis+Homotopi+(HAM)+dan+Transformasi+Laplace+yang+dapat+digunakan+untuk+mencari+solusi+analitik+dari+persamaan+diferensial+parsial+tak+linear.+Sebagai+contoh+kasus+dipilih+diferensial+parsial+tak+linear+yang+berbentuk%0D%0A+u_t%2B(u%5E2+)_x%2B(u%5E2+)_xxx%3D0.%0D%0A%0D%0A%0D%0AMetode+Analisis+Transformasi+Homotopi+(HATM)+sangat+efektif+digunakan+pada+persamaan+diferensial+parsial+tak+linear+karena+akan+tetap+valid+walaupun+permasalahan+tak+linear+mengandung+sembarang+parameter.+Setelah+melalui+beberapa+proses+perhitungan+solusi+analitik+diperoleh+untuk+h%3D-1+yaitu+u(x%2Ct)%3Dx%2F(1%2B2t).%0D%0A%0D%0A%0D%0A%0D%0AKata+kunci+%3A+Metode+Analisis+Transformasi+Homotopy%2C+Transformasi+Laplace%2C+Metode+Analisis+Homotopy%2C+solusi+analitik%0D%0A%0D%0A%0D%0AABSTRACT%0D%0A%0D%0AHomotopy+Analysis+Transform+Method+(HATM)+combines+Homotopy+Analysis+Method+(HAM)+and+Laplace+Ttransform.+It+was+used+to+solve+especially+non-linear+partial+differential+equations.+As+a+case+study+we+choose+an+equation+in+the+form+of++u_t%2B(u%5E2+)_x%2B(u%5E2+)_xxx%3D0.%0D%0A%0D%0A%0D%0AHomotopy+Analysis+Transform+Method+(HATM)+is+effectively+used+in+non-linear+partial+differential+equation+because+it+remains+valid+even+if+the+non+linear+problem+contains+any+parameters.+After+some+calculation+process%2C+we+found+analytical+solution+u(x%2Ct)%3Dx%2F(1%2B2t)+for+h%3D-1.%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AKeywords%3A+Homotopy+Analysis+Transform+Method%2C+Homotopy+Analysis+Method%2C+Laplace+transform%2C+analytic+solution%0D%0A%0D%0A&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM&rft.date=2017-02-06&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F25790%2F1%2FABSTRAK%2520%2528ABSTRACT%2529.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F25790%2F3%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F25790%2F2%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=++DONGKY+PRANATA+PUTRA+%2C+1217031020++(2017)+APLIKASI+METODE+ANALISIS+TRANSFORMASI+HOMOTOPI+PADA+PERSAMAAN+u_t%2B(u%5E2+)_x%2B(u%5E2+)_xxx%3D0.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F25790%2F