?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=APLIKASI+METODE+TRANSFORMASI+ANALISI+HOMOTOPI+PADA+PERSAMAAN+ut%2Buux%3D0%0D%0A%0D%0A&rft.creator=+NOVIANTI+SAGITA+%2C+1217031049&rft.subject=+&rft.subject=QA+Mathematics&rft.description=ABSTRAK%0D%0A%0D%0ADi+dalam+matematika%2C+banyak+dijumpai++penyelesaian+masalah+linear+secara+analitik.+Di+samping+itu+banyak+pula+dijumpai+masalah+tak+linear+dan+yang+sulit+dalam+diselesaikan+secara+analitik.%0D%0A%0D%0APenelitian+ini+bertujuan+untuk+memperkenalkan+sebuah+metode+baru+yang+cukup+populer+di+kalangan+ilmuan+yaitu++Metode+Transformasi+Analisis+Homotopi+(HATM)+dan+menerapkannya+pada+persamaan+differensial+tak+linear.+Metode+ini+adalah+gabungan+dari+metode+analisis+homotopi+(HAM)+dan+transformasi+Laplace.+Metode+homotopi+ini+memiliki+keunggulan+yakni+tetap+valid+walaupun+masalah+tak+linear+tersebut+memiliki+sembarang+parameter.+Dari+beberapa+tahap+yang+telah+dikerjakan+penulis%2C+diperoleh+kesimpulan+bahwa+solusi+dari+metode+HATM+akan+konvergen+dan+sama+dengan+solusi+eksaknya+jika+h%3D-1.%0D%0A%0D%0AKata+Kunci+%3A+Persamaan+Taklinear%2C+Transformasi+Laplace%2C+Metode+Transformasi+Analisis+Homotopi+(HATM)%0D%0A%0D%0A%0D%0AABSTRACT%0D%0A%0D%0AThere+are+many+linear+problems+in+mathematics.+On+the+other+hand%2C+there+are+also+many+nonlinear+problems+which+are+difficult+to+solve+analytically.%0D%0A%0D%0AThis+research+is+aimed+to+introduce+a+new+method+that+is+quite+popular+among+the+scientists+that+is+Homotopy+Analysis+Transform+Method+(HATM)+and+can+be+used+to+solve+the+nonlinear+differential+equation.+This+method+contains+Homotopy+Analysis+Method+(HAM)+and+Laplace+Transformation.+This+Homotopy+Method+remains+valid+even+if+the+nonlinear+problems+have+random+parameter.+It+can+be+concluded+that+the+solution+of+Homotopy+Analysis+Transform+Method+will+be+convered+and+be+the+same+with+the+exact+solution+if+h%3D-1.%0D%0A%0D%0A%0D%0AKeywords+%3A+Nonlinear+Equation%2C+Laplace+Transform%2C+Homotopy+Analysis+%0D%0A+++++++Transform+Method+(HATM)%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM+&rft.date=2016-11-09&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F24502%2F1%2FABSTRAK%2520%2528ABSTRACT%2529.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F24502%2F2%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F24502%2F3%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=+++NOVIANTI+SAGITA+%2C+1217031049++(2016)+APLIKASI+METODE+TRANSFORMASI+ANALISI+HOMOTOPI+PADA+PERSAMAAN+ut%2Buux%3D0.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM+%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F24502%2F