Abstract
Linear Multistep Methods (LMMs) are developed and applied to solve two-point boundary value problems (BVPs). The derivation of the main methods lead to continuous approximations from which multiple finite difference methods (MFDMs) are obtained. The MFDMs are assembled into single block matrix equations which are used to solve BVPs. We obtain three specific methods with step numbers k = 2,3,4, which are used to illustrate the process. It is also shown that the methods have orders greater than one, zero-stable, and hence convergent. Numerical experiments are performed to show the efficiency of the methods.
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