1、collisionless tearing mode instability

2、Magnetic reconnection is often triggered by the tearing mode instability.

3、Using spline collocation method to solve plasma tearing mode equations numerically is introduced.

4、Nonlinear tearing mode instability is simple in space physics, and it is basic to research space physics.

5、In this paper the numerical method developed to study the non-linear evolution of tearing modes is described in detail.