Non-Standard Difference Method for Numerical Solution of Linear Fredholm Integro-Differential Type Two-Point Boundary Value Problems

Pramod Kumar Pandey

doi:10.4236/oalib.1101465

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Open Access Library Journal > Vol.2 No.9, September 2015

Non-Standard Difference Method for Numerical Solution of Linear Fredholm Integro-Differential Type Two-Point Boundary Value Problems ()

Pramod Kumar Pandey

Department of Mathematics, Dyal Singh College, University of Delhi, New Delhi, India.

DOI: 10.4236/oalib.1101465 PDF HTML XML 947 Downloads 1,403 Views Citations

Abstract

In this article we have considered Fredholm integro-differential equation type second-order boundary value problems and proposed a rational difference method for numerical solution of the problems. The composite trapezoidal quadrature and non-standard difference method are used to convert Fredholm integro-differential equation into a system of equations. The numerical results in experiment on some model problems show the simplicity and efficiency of the method. Numerical results showed that the proposed method is convergent and at least second-order of accurate.

Keywords

Composite Trapezoidal Method, Fredholm Integro-Differential Equations, Boundary Value Problem, Non-Linear Equation, Non-Standard Difference Method, Quadrature Formulas

Share and Cite:

Pandey, P. (2015) Non-Standard Difference Method for Numerical Solution of Linear Fredholm Integro-Differential Type Two-Point Boundary Value Problems. Open Access Library Journal, 2, 1-10. doi: 10.4236/oalib.1101465.

Conflicts of Interest

The authors declare no conflicts of interest.

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