An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation

Document Type : Research Paper


Department of Mathematics and Applications, University of Mohaghegh Ardabili, 56199-11376, Ardabil, Iran


In this paper, numerical solution of the Benjamin-Bona-Mahony-Burgers (BBMB) equation is obtained by using the mesh-free method based on the collocation method with radial basis functions (RBFs). Stability analysis of the method is discussed. The method is applied to several examples and accuracy of the method is tested in terms of $L_2$ and $L_\infty$ error norms.