Explicit appropriate basis function method for numerical solution of stiff systems

• DOI: 10.1016/j.anucene.2014.08.040
• Publication Date: 2014-09-16T16:08:10Z
• Authors: Wenzhen Chen; Hongguang Xiao; Haofeng Li; Ling Chen
• Keywords: 0211 other engineering and technologies; 02 engineering and technology

Abstract In this paper, an explicit numerical method, called the appropriate basis function method, is presented. The explicit appropriate basis function method differs from the power series method because it employs an appropriate basis function such as the exponential function, or periodic function, other than a polynomial, to obtain approximate numerical solutions. The method is successful and effective for the numerical solution of the first order ordinary differential equations. Two examples are presented to show the ability of the method for dealing with linear and nonlinear systems of differential equations.