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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제27권 제3호
- 발행연도
- 2009.1
- 수록면
- 475 - 487 (13page)
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This paper studies the iteration method of solving a type of second-order three-point boundary value problem with non-linear term f, which depends on the first order derivative. By using the upper and lower method, we obtain the sufficient conditions of the existence and uniqueness of solutions. Furthermore, the monotone iterative sequences generated by the method contribute to the minimum solution and the maximum solution. And the error estimate formula is also given under the condition of unique solution. We apply the solving process to a special boundary value problem, and the result is interesting.
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