Solving nonlinear system of second-order boundary value problems using a newly constructed scaling function

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.