Application of the Numerical Methods for Partial Differential Equations of Solution's Existence and Uniqueness Theorem
Discusses an important application in the numerical methods for partial differential equations of the solution's existence and uniqueness theorem of ordinary differential equations by a new perspective. Gives a new splitting mixed element scheme for a class of pseudo-hyperbolic partial differential equations, formulate the system of ordinary differential equations, proves the solution's existence and uniqueness of system by the solution's existence and uniqueness theorem. By the brief discussion and outlining, clarifies the application method in the numerical methods for partial differential equations of the solution's existence and uniqueness theorem and hopes to have some new ideas in the future development of teaching and research.