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In this paper, a boundary integral method is proposed for the solution of a class of fourth-order two-boundary value problems described by the equation ݕ ௩ + ܲሺ,ݔ ,ݕ ݕ ᇱ , ݕ ᇱᇱ , ݕ ᇱᇱᇱ ሻ = 0, ݔ ∈ ሺ0, ܮሻ, where P is a polynomial function of its arguments. The differential equation is cast in an integral form and the weighted residual technique is used to generate the corresponding boundary integral equations. The boundary integral equations are then, solved by expressing thedoi:10.17512/jamcm.2016.3.01 fatcat:g62h3on26rhmlpeugsucu6tpsu