Solution of partial differential equations (Possio
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First, elliptic partial differential equations 1. Helmholtz equation and exceptions (Possion equations, Laplace equation); Helmholtz.m; possion 2. Newton boundary conditions satisfy the Helmholtz equation; Helmholtz_Newton.m Second, the parabolic partial differential equations 1. Explicit Forward Euler EF_Euler.m 2. implicit backward Euler method IB_Euler.m 3. Grank-Nicholson method Grank_Nicholson.m 4. The two-dimensional heat conduction parabolic equation TDE.m Third, hyperbolic partial differential equations 1. Explicit central difference method (one dimensional wave equation) ECD_Wave.m 2. Explicit central difference method (two-dimensional wave equation) Wave2.m Fourth, the finite element method Two-dimensional partial differential equation method (Laplace equation) fem_basis_ftn.m; Show_Basis.m; fem_coef Fifth, use the GUI in the form of partial differential equation solver for solving p