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The central aim is to investigate an inverse boundary value problem related to a third-order pseudo-hyperbolic differential equation.

Third-Order Pseudo-Hyperbolic Model Equation with Mixed Boundary Constraints: Solving the Inverse Problem

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The central aim is to investigate an inverse boundary value problem related to a third-order pseudo-hyperbolic differential equation.
Analyzed the inverse boundary value problem linked to a third-order pseudo-hyperbolic equation.
Applied a Fourier approach to show existence and uniqueness of solutions.
Employed cubic B-spline collocation for discretization of the equation.
Formulated the problem within a nonlinear least-squares optimization framework with Tikhonov regularization.
Used MATLAB’s lsqnonlin subroutine for numerical solutions.
Established the existence and uniqueness of solutions to the auxiliary problem.
Successfully discretized the problem using cubic B-splines.
Demonstrated effective numerical solutions through computational methods.
Interpreted numerical findings from a test case to validate the approach.

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This research explores an inverse problem in a third-order pseudo-hyperbolic equation, indicating unique solution methods and boundary conditions.

Huntul et al. (2026) studied this question.

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This research explores an inverse problem in a third-order pseudo-hyperbolic equation, indicating unique solution methods and boundary conditions.