approximate solution of fourth order di erential equation in neumann problem
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abstract
generalized solution on neumann problem of the fourth order ordinary di erential equation in space w2 (0; b) has been discussed , we obtain the condition on b.v.p when the solution is in classical form. formulation of quintic spline function has been derived and the consistency relations are given.numerical method,based on quintic spline approximation has been developed. spline solution of the given problem has been considered for a certain value of : error analysis of the spline method is given and it has been tested by an example.
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Journal title:
journal of linear and topological algebra (jlta)جلد ۲، شماره ۰۴، صفحات ۲۴۳-۲۵۴
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