ABSTRACT Sobolev‐type (pseudohyperbolic) equations arise in many mathematical models connected with physics, mechanics, and biology. In this paper, simultaneous time‐dependent potential and source control term identification of a Sobolev‐type equation, called the fourth‐order Boussinesq‐Love equation, from knowledge of additional integral measurements is studied by means of contraction mapping. Additionally, the Boussinesq‐Love equation is solved using the C‐N scheme and reformulated as a nonlinear optimization problem. The solution is computationally obtained utilizing the lsqnonlin subroutine from MATLAB. The accuracy of the approximate data has been assessed using the RMSE. The computational outcomes for the test example are discussed.
Huntul et al. (Wed,) studied this question.