Title of article :
Approximate solution of fourth order dierential equation in Neumann problem
Author/Authors :
Rashidinia, J. School of Mathematics - Iran University of Science and Technology , Kalvand, D. Faculty of Mathematics - Yerevan state University , Yerevan, Armenia , Tepoyan, L. Faculty of Mathematics - Yerevan state University , Yerevan, Armenia
Abstract :
Generalized solution on Neumann problem of the fourth order ordinary dierential
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.
Keywords :
Fourth order ordinary differential equation , Neumann problem , generalized solution , quintic spline function , error analysis
Journal title :
Astroparticle Physics
