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The generalized boundary element approach to Burgers' equation
Author(s) -
Kakuda Kazuhiko,
Tosaka Nobuyoshi
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620290203
Subject(s) - mathematics , boundary element method , burgers' equation , mathematical analysis , method of fundamental solutions , simple (philosophy) , partial differential equation , singular boundary method , operator (biology) , boundary (topology) , boundary value problem , finite element method , physics , philosophy , biochemistry , chemistry , epistemology , repressor , transcription factor , gene , thermodynamics
The generalized boundary element method is presented for the numerical solution of Burgers' equation. The new method is based on the set of boundary integral equations derived for each subdomain by using the fundamental solution for the linearized differential operator of the equation. The resulting system of quasi‐non‐linear equations is solved implicitly with use of a simple iterative procedure. The adaptability and the accuracy of the proposed method are demonstrated by three examples and a comparison of the numerical results with the exact solution or other existing solutions is shown for the first example.