scholarly journals The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation in arbitrary domains

2018 ◽  
Vol 321 ◽  
pp. 223-243 ◽  
Author(s):  
M. Hajiketabi ◽  
S. Abbasbandy ◽  
F. Casas
Keyword(s):  
Radial Basis Functions ◽  
Lie Group ◽  
Burgers Equation ◽  
Basis Functions ◽  
High Dimensional ◽  
Group Method ◽  
Lie Group Method ◽  
Radial Basis

scholarly journals A Meshless Method for Burgers’ Equation Using Multiquadric Radial Basis Functions With a Lie-Group Integrator

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 113 ◽  
Author(s):  
Muaz Seydaoğlu
Keyword(s):  
Lie Group ◽  
Kinematic Viscosity ◽  
Numerical Solutions ◽  
Burgers Equation ◽  
Time Integration ◽  
Group Scheme ◽  
Basis Functions ◽  
One Dimensional ◽  
Radial Basis ◽  
The One

An efficient technique is proposed to solve the one-dimensional Burgers’ equation based on multiquadric radial basis function (MQ-RBF) for space approximation and a Lie-Group scheme for time integration. The comparisons of the numerical results obtained for different values of kinematic viscosity are made with the exact solutions and the reported results to demonstrate the efficiency and accuracy of the algorithm. It is shown that the numerical solutions concur with existing results and the proposed algorithm is efficient and can be easily implemented.

Time Dependent Four Dimensional Burgers' Equation Solutions with Meshless Radial Basis Functions

2011 ◽  
Author(s):  
Edward J. Kansa ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
Zacharias Anastassi
Keyword(s):  
Radial Basis Functions ◽  
Burgers Equation ◽  
Basis Functions ◽  
Time Dependent ◽  
Radial Basis
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