TY - JOUR
ID - 510025
TI - Approximate solution of fourth order differential equation in Neumann problem
JO - Journal of Linear and Topological Algebra ( JLTA )
JA - JLTA
LA - en
SN - 2252-0201
AU - Rashidinia, J.
AU - Kalvand, D.
AU - Tepoyan, L.
AD - School of Mathematics, Iran University of Science and Technology, Tehran, Iran
AD - Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
Y1 - 2013
PY - 2013
VL - 02
IS - 04
SP - 243
EP - 254
KW - Fourth order ordinary differential equation
KW - Neumann problem
KW - generalized solution
KW - quintic spline function
KW - Error analysis
DO -
N2 - Generalized solution on Neumann problem of the fourth order ordinary differential equation in space $W^2_alpha(0,b)$ 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 $alpha$. Error analysis of the spline method is given and it has been tested by an example.
UR - http://jlta.iauctb.ac.ir/article_510025.html
L1 - http://jlta.iauctb.ac.ir/article_510025_d29a124b26073e7d4549702e0693dfa9.pdf
ER -