Application of fuzzy finite difference scheme for the non-homogeneous fuzzy heat equation

A numerical framework based on fuzzy finite difference is presented for approximating triangular solutions of partial differential equations by considering the type $$[gH-p]-$$ differentiability. The triangle functions are expanded using full Taylor expansion to develop a new method. By gH-differentiability, we approximate derivatives with difference. In particular, propose this method solve non-homogeneous heat equation initial-boundary conditions. We examine truncation error and convergence conditions proposed Several examples demonstrate performance methods. final results efficiency ability produce which more consistent existing reality.