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

Authors

  • P. K. Pandey Dyal Singh College (University of Delhi)

DOI:

https://doi.org/10.14513/actatechjaur.v7.n2.242

Keywords:

differential equations, sixth order method, finite difference method, rational approximations, Troesch’s test problem

Abstract

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.

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Author Biography

P. K. Pandey, Dyal Singh College (University of Delhi)

Department of Mathematics

Associate Professor

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Published

2014-03-04

How to Cite

Pandey, P. K. (2014). A Finite Difference Method of High Order Accuracy for the Solution of Two-Point Boundary Value Problems. Acta Technica Jaurinensis, 7(2), pp. 106–113. https://doi.org/10.14513/actatechjaur.v7.n2.242

Issue

Section

Vehicle, Mechanical Engineering and Mechatronics