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A Method for Numerical Solution of Two Point Boundary Value Problems with Mixed Boundary Conditions

DOI: 10.4236/oalib.1100565, PP. 1-7

Subject Areas: Ordinary Differential Equation, Numerical Mathematics

Keywords: Approximations, Boundary Value Problems, Fixed Step Size, Mixed Boundary Conditions, Maximum Absolute Error, Nonlinear Function, Stability

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Abstract

In this article, we concerned with the development of a method for solving two point boundary value problems of ordinary differential equations. To develop method ,we consider derivative of solution of a problem as a intermediate problem (IP).The analytical solution of the problem and IP were locally approximated by a nonlinear function with xed step lenght.Some numerical experiments have been carried out to show the performance and effectiveness of the proposed method .Also we obtained numerical value of derivative of solution as a by product of proposed method.A clear conclusion can be drawn from the results that method converges with limited stability.

Cite this paper

Pandey, P. K. (2014). A Method for Numerical Solution of Two Point Boundary Value Problems with Mixed Boundary Conditions. Open Access Library Journal, 1, e565. doi: http://dx.doi.org/10.4236/oalib.1100565.

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