A NUMERICAL TECHNIQUE FOR THE SOLUTION OF GENERAL EIGHTH ORDER BOUNDARY VALUE PROBLEMS: A FINITE DIFFERENCE METHOD

Pramod Kumar Pandey     (Dyal Singh College (University of Delhi), New Delhi, India)

Abstract


In this article, we present a novel finite difference method for the numerical solution of the eighth order boundary value problems in ordinary differential equations. We have discretized the problem by using the boundary conditions in a natural way to obtain a system of equations. Then we have solved system of equations to obtain a numerical solution of the problem. Also we obtained numerical values of derivatives of solution as a byproduct of the method. The numerical experiments show that proposed method is efficient and fourth order accurate.

Keywords


Boundary Value Problem, Eighth Order Equation, Finite Difference Method, Fourth Order Method

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References


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DOI: http://dx.doi.org/10.15826/umj.2018.1.005

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