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A Finite Difference Method of High Order Accuracy for the Solution of Two-Point Boundary Value Problems

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Tartalom: https://acta.sze.hu/index.php/acta/article/view/242
Archívum: Acta Technica Jaurinensis
Gyűjtemény: Vehicle, Mechanical Engineering and Mechatronics
Cím:
A Finite Difference Method of High Order Accuracy for the Solution of Two-Point Boundary Value Problems
Létrehozó:
Pandey, P. K.
Kiadó:
CrossRef
Dátum:
2014-03-04
Tartalmi leírás:
We present a new high order finite difference method for second order differential equation y''=f(x,y)  subject to boundary conditions y(a)=alpha and y(b)= beta. The method is based on rational function approximation and its development is based on power series expansions. Under appropriate conditions, local truncation error calculated and order of method estimated six. Our finite difference method leads to nonlinear system of equations. Numerical examples are given to illustrate the effectiveness, efficiency and high order accuracy of the method.
Nyelv:
angol
Típus:
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Formátum:
application/pdf
application/pdf
Azonosító:
10.14513/actatechjaur.v7.n2.242
Forrás:
Acta Technica Jaurinensis; Vol 7 No 2 (2014); pp. 106-113
2064-5228
Kapcsolat: