A novel approach based on minimization for numerical solutions of Burgers’ equation

Abstract

This paper deals with the numerical solution of Burgers’ equation. By using radial basis functions (RBFs), an optimization approach is used to derive the approximated solution. Furthermore, we use the regularization term to avoid the growth of RBF coefficients. Also, the stability of the proposed method is verified, and finally we present some numerical examples to confirm our given approach.

Keywords

• Burgers’ equation
• Radial basis functions
• Regularization