Numerical Solution Method for High-order Highly Nonlinear Strongly Coupled Partial Differential Equations:Taking the Strongly Coupled Partial Differential Equations Describing Suffusion as an Example
To solve the high-order highly nonlinear strongly coupled Partial Differential Equations(PDEs),this paper takes the PDEs describing suffusion as a typical case,analyzes the high-order highly nonlinear of PDEs,combines spatial mapping,based on weak form modeling and segregated approach,realizes the numerical solution of PDEs describing suffusion,and verifies the feasibility and reliability of the solution method.The results show that strong coupling is a sufficient condition for PDEs to have nonlinearity.Without the help of weak form of PDEs,it will be difficult to solve the nonlinearity of strongly coupled models;Segregated approach is more inclusive to the initial guess of transient strongly coupled PDEs.
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