Title: Solving nonlinear system of second-order boundary value problems using a newly constructed scaling function
Authors: Yanan Liu
Addresses: China Special Equipment Inspection and Research Institute, Building 2, Hepingjie, Xiyuan, Chaoyang District, Beijing,100029, China
Abstract: In this paper, a scaling function constructed by special filter coefficients is used for solving nonlinear system of second-order boundary value problems. The basis functions in interval originated from the newly constructed scaling function are directly used for function approximation. The Galerkin method and iteration approach are used for solution. Some numerical examples are presented to demonstrate the validity of the numerical technique. Numerical results prove that the new basis functions have good approximation ability and the present method is very efficient and highly accurate in solving nonlinear system of second-order boundary value problems.
Keywords: filter coefficients; scaling function; nonlinear system; Galerkin method; iteration.
International Journal of Computing Science and Mathematics, 2019 Vol.10 No.6, pp.596 - 605
Received: 23 Aug 2016
Accepted: 11 Sep 2017
Published online: 09 Dec 2019 *