Newton-like methods for two-point boundary value problems |
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Authors: | Allan Aulin |
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Institution: | (1) Institute of Computer Sciences, Lund University, Sölvegatan 14A, S-22362 Lund, Sweden |
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Abstract: | A class of Newton-like methods for discrete two-point boundary value problems is constructed from the sum equation formulation of the problem. Each step of the Newton-like method can be described as first solving a system of linear algebraic equations. The solution vector of this system gives boundary values to a number of discrete boundary value problems which can be solved explicitly. |
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