?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=PENYELESAIAN+PERSAMAAN+DIFERENSIAL+PARSIAL+%0D%0ANON+HOMOGEN+DENGAN+METODE+PERTURBASI+HOMOTOPI+DAN+CRANK+NICHOLSON%0D%0A&rft.creator=Darmawansyah%2C+1417031037&rft.subject=+&rft.subject=QA+Mathematics&rft.description=Persamaan+diferensial+merupakan+suatu+persamaan+yang+memuat+satu+atau+lebih+peubah.+Persamaan+diferensial+merupakan+bentuk+matematika+dari+masalah-masalah+yang+timbul+berdasarkan+faktor-faktor+tertentu+serta+disusun+dalam+bentuk+kalimat+matematika.+Persamaan+diferensial+parsial+merupakan+representasi+matematika+dari+masalah+yang+bergantung+pada+dua+atau+lebih+faktor%2C+salah+satunya+faktor+waktu.+Metode+perturbasi+homotopi+merupakan+metode+yang+menggabungkan+metode+analisis+homotopi+dan+menerapkan+teknik+perturbasi.+Solusi+akhir+dari+metode+ini+adalah+berupa+deret+tak+hingga+yang+selanjutnya+diaproksimasi+menggunakan+prinsip+deret+taylor.+Metode+crank+nicholson+merupakan+skema+yang+menerapakan+prinsip+beda+maju+dan+beda+mundur+sekaligus+dalam+langkah+penyelesaiannya.+Hasil+penelitian+ini+menunjukan+bahwa+metode+perturbasi+homotopi+cukup+baik+menghampiri+solusi+persamaan+diferensial+parsial+non+homogen+secara+analitik.+Sedangkan+metode+crank+nicholson+cukup+baik+untuk+menghampiri+solusi+secara+numerik.%0D%0A%0D%0AKata+Kunci+%3A+Persamaan+Diferensial%2C+Persamaan+Diferensial+Parsial%2C+Metode+Perturbasi+Homotopi%2C+Metode+Crank+Nicholson.%0D%0A%0D%0A%0D%0AThe+differential+equation+is+an+equation+that+contain+one+or+more+variables.+The+differential+equation+is+a+mathematical+form+of+problems+that+appear+based+on+fixed+factors+and+arranged+to+the+mathematical+sentences+form.+The+partial+differential+equation+is+mathematical+representation+of+problems+that+depends+on+two+or+more+factors%3B+one+of+them+is+time+factor.+Homotopy+perturbation+method+is+method+that+combining+homotopy+analysis+method+and+applying+perturbation+techniques.++The+final+solution+of+this+method+is+in+the+form+of+an+infinite+series+which+is+subsequently+approximated+using+the+principle+of+Taylor+series.+Crank+Nicholson+method+is+a+scheme+that+applied+the+principle+of+forward+and+backward+as+well+as+in+step+settlement.+The+result+of+this+research+indicated+that+homotopy+perturbation+method+passably+approach+the+solution+of+nonhomogeneous+partial+differential+equation+analytically.+Crank+Nicholson+method+passable+to+approach+the+solution+numerically.%0D%0A%0D%0AKeywords%3A+Differential+Equation%2C+Partial+Differential+Equation%2C+Homotopy+Perturbation+Method%2C+Crank+Nicholson+Method.%0D%0A&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM&rft.date=2018-02-01&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F30272%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F30272%2F3%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F30272%2F2%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=++Darmawansyah%2C+1417031037++(2018)+PENYELESAIAN+PERSAMAAN+DIFERENSIAL+PARSIAL+NON+HOMOGEN+DENGAN+METODE+PERTURBASI+HOMOTOPI+DAN+CRANK+NICHOLSON.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F30272%2F