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hhIntegral-based solution for a class of second order boundary value problems
H.J. Al-Gahtani King Fahd University of Petroleum and Minerals, Civil Engineering Department, Box 800, Dhahran 31261, Saudi Arabia Available online 28 June 1999.
Abstract
An integral formulation for the solution of a class of second order boundary value problems which are described by the equation d2yy/dx2 + P(x,y, dy/dx, d2yy/dx2)) = 0, x (0,a), is presented. The resulting integral equations are then solved by expressing the dependent variable y as a power series which made the computation of various integrals possible. The proposed method is tested through some examples to showM]
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Keywords: Boundary element method; Integral equations; Nonlinear ordinary differential equations
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