An inverse problem of fourth-order partial differential equation with nonlocal integral condition

Abstract In this study, the time-dependent potential coefficient in a higher-order PDE with initial and boundary conditions is numerically constructed for first time from nonlocal integral condition. Even though inverse identification problem investigated study ill-posed, it has unique solution. For discretizing direct finding stable accurate solutions, we employ Quintic B-spline (QBS) collocation Tikhonov regularization methods, respectively. The following nonlinear minimization solved using MATLAB. collected findings demonstrate that solutions can be found.