Explicit Finite Difference Analysis of Pseudo-Hyperbolic Partial Differential Equations

Abstract The explicit finite difference method is suggested in this publication to resolve pseudo-hyperbolic partial differential equations. An explicit finite difference scheme is developed for the suggested problem. The estimated and exact solutions are compared to create the error analysis table. The stability inequalities for this difference scheme are demonstrated using matrix analysis. An example is illustrated as an implementation of the finite difference scheme method. The results show that the proposed method is very accurate and convenient. The solutions are represented graphically. Other numerical methods can be applied to investigate pseudo-hyperbolic partial differential equations.