Numerical solutions of the fuzzy wave equation based on the fuzzy difference method.

Our study introduces, discusses, and investigates approximate solutions to the fuzzy Wave equation on a finite domain utilizing generalized Hukuhara partial differentiability. A computationally effective algorithm based on the fuzzy finite difference is proposed. In order to obtain fuzzy finite difference formulas, we extend a full fuzzy Taylor expansion according to the type of [gH−p]-differentiability. This method is primarily proposed for the solution of the non-homogeneous Wave equation with triangular initial boundaries. Several examples are presented to demonstrate the model's theoretical aspect and how it works for various types of [gH−p]-differentiability. According to the results, the method gives an accurate solution to the fuzzy Wave equation.