A Study on Finite Difference Explicit Numerical Method of Symmetric Hyperbolic Partial Differential Equation

Abstract

Explicit method approaches numerical analysis for obtaining numerical approximation to the solution in time dependent partial differential equation and ordinary differential equation which is required in computer application and physical processes. Mainly explicit methods are used to calculate the system at current time. Explicit method are very simple but not stable. Mainly in explicit numerical methods, parameters are calculated based on previous levels and also explicit solutions are independent to other values. For example the unsteady heat equation can be solved explicitly. The present paper is concerned with explicit numerical method of symmetric hyperbolic partial differential equation by using constant indices and also we proved the monotonical preserving values and also discussed the symmetrical hyperbolic partial differential equation with constant coefficients.