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

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DOI: 10.4236/oalib.1101465 627 Downloads 997 Views Citations

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Pramod Kumar Pandey

Affiliation(s)

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

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

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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