Computational assessment of external force acting on beam elastic foundation

In this paper, we present and employ some numerical techniques for the computational solution of fourth-order differential beam equation. The equation describes a beam system on elastic foundation with an ill-posed situation. We formulate suitable algorithms to aid the computation of the Exponentially Fitted Collocation Method (EFCM), Hybrid Block Method (HBM), Homotopy Perturbation Method (HPM), and Differential Transformation Method (DTM) to reduce and overcome stress involves during evaluation. The formulated algorithms are further used for numerical comparison of the results. The results show that the algorithms are efficient and numerical methods prove to be highly effective for solving beam problems.