Galerkin finite element method for forced Burgers' equation
عنوان مقاله: Galerkin finite element method for forced Burgers' equation
شناسه ملی مقاله: JR_JMMO-7-4_005
منتشر شده در در سال 1398
شناسه ملی مقاله: JR_JMMO-7-4_005
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:
Sunil S Kumbhar - Department of Mathematics, Shivaji University, Kolhapur (Maharashtra), India
Sarita Thakar - Department of Mathematics, Shivaji University, Kollapur (Maharashtra), India
خلاصه مقاله:
Sunil S Kumbhar - Department of Mathematics, Shivaji University, Kolhapur (Maharashtra), India
Sarita Thakar - Department of Mathematics, Shivaji University, Kollapur (Maharashtra), India
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.
کلمات کلیدی: Forced Burgers' equation, cubic B-splines, Galerkin Finite Element Method, Taylor series, von Neumann analysis
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1995402/