TY  - JOUR
T1  - A High-Order Accurate Numerical Algorithm for the Numerical Solution of Burgers’ Equation
TT  - Burgers Denkleminin Nümerik Çözümü için Yüksek Dereceden Doğruluklu Nümerik Algoritma
AU  - Zorsahin Gorgulu, Melis
PY  - 2019
DA  - December
DO  - 10.18586/msufbd.621498
JF  - Mus Alparslan University Journal of Science
JO  - MAUN Fen Bil. Dergi.
PB  - Mus Alparslan University
WT  - DergiPark
SN  - 2147-7930
SP  - 653
EP  - 656
VL  - 7
IS  - 2
LA  - en
AB  - Inthis study, a high accurate numerical solution of the Burgers’ equation isobtained. For this, the collocation method based on quintic B-spline functionsfor space discretization and the fourth-order single step method for timediscretization are used. In order to see the efficiency of the algorithm, atest problem with an analytical solution is discussed and compared with thenumerical solution obtained.
KW  - Burgers' equation
KW  - Collocation method
KW  - fourth order single step method
KW  - quintic B-spline functions
N2  - Buçalışmada, Burgers denkleminin yüksek doğruluklu bir sayısal çözümü eldeedilmiştir. Bunun için, konum ayrıştırmasında quintic B-spline fonksiyonlarınıtemel alan kolokasyon yöntemi ve zaman ayrıştırmasında dördüncü dereceden tekadımlı yöntem kullanılmıştır. Algoritmanın etkinliğini görmek için, analitikçözüme sahip bir test problemi ele alınmış ve elde edilen sayısal çözümler ilekarşılaştırılmıştır.
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UR  - https://doi.org/10.18586/msufbd.621498
L1  - https://dergipark.org.tr/en/download/article-file/899818
ER  -