NUMERICAL METHOD FOR SOLVING PSEUDO-HYPERBOLIC EQUATIONS WITH PURELY INTEGRAL CONDITIONS IN REPRODUCING KERNEL HILBERT SPACE

This paper studies a pseudo-hyperbolic equation with purely integral conditions using the reproducing kernel Hilbert space method (RKHSM). By leveraging the properties of reproducing kernel functions (RKFs), we derive exact and approximate solutions to the equation. We present three numerical examples to assess our approach's efficiency and accuracy. The results demonstrate that the RKHSM yields highly accurate approximations, underscoring its effectiveness as a reliable method for solving pseudo-hyperbolic equations with integral constraints. Our findings contribute to the growing research on analytical and numerical techniques for solving such equations.