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An Approximate Solution of Some Differential Equations with New Type of InterpolationKeywords: Spline interpolation , boundary conditions , differential equations , errors estimation Abstract: In this research, we have studied the use of splines to solve lacunary interpolation problem analytically and applied to the solution of initial and boundary value problems. The analytical results of this model have been obtained in terms of convergent series with the theorems for errors estimation. Among a number of numerical methods used to solve differential equations spline methods provide an efficient tool.
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