Article Contents
Article Contents

# A sixth order numerical method for a class of nonlinear two-point boundary value problems

• In this paper, we are concerned with the numerical solution of a class of nonlinear two-point boundary value problems with general boundary conditions. We propose a new numerical method of sixth order accuracy by integrating compact finite difference methods with the Green's function approach. It is the first sixth order accurate numerical scheme on non-uniform grids for the problem. We also give numerical results of some practical problems including reaction-diffusion equations. It is remarked that our numerical method is also efficient for layer equations.
Mathematics Subject Classification: Primary: 65L10; Secondary: 65L12.

 Citation:

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