A Fourth Order Finite Difference Scheme for the Solution of Intuitionistic Fuzzy Hyperbolic Partial Differential Equation

This paper aims to develop a fourth order fuzzy finite difference scheme to solve an intuitionistic fuzzy hyperbolic partial differential equation. The initial and boundary conditions of the intuitionistic fuzzy hyperbolic partial differential equation are intuitionistic triangular fuzzy numbers. The proposed finite difference scheme is found to be conditionally stable, and convergence of the proposed fuzzy finite difference method is discussed in detail. Further, the proposed method is validated through an example. The approximate solution is compared with the exact solution at each $(\alpha, \beta)$ level and these results are illustrated through graphs and tables for each space level.