Galerkin finite element method for forced Burgers' equation
محل انتشار: مجله مدلسازی ریاضی، دوره: 7، شماره: 4
سال انتشار: 1398
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 34
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شناسه ملی سند علمی:
JR_JMMO-7-4_005
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
In this paper second order explicit Galerkin finite element method based on cubic B-splines is constructed to compute numerical solutions of one dimensional nonlinear forced Burgers' equation. Taylor series expansion is used to obtain time discretization. Galerkin finite element method is set up for the constructed time discretized form. Stability of the corresponding linearized scheme is studied by using von Neumann analysis. The accuracy, efficiency, applicability and reliability of the present method is demonstrated by comparing numerical solutions of some test examples obtained by the proposed method with the exact and numerical solutions available in literature.
کلیدواژه ها:
Forced Burgers' equation ، cubic B-splines ، Galerkin Finite Element Method ، Taylor series ، von Neumann analysis
نویسندگان
Sunil S Kumbhar
Department of Mathematics, Shivaji University, Kolhapur (Maharashtra), India
Sarita Thakar
Department of Mathematics, Shivaji University, Kollapur (Maharashtra), India