Finite difference schemes and partial differential equations
Finite difference schemes and partial differential equations
A discrete Fourier method for numerical solution of strongly coupled mixed parabolic systems
Computers & Mathematics with Applications
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This paper deals with the construction of convergent discrete numerical solutions of coupled mixed partial differential systems with coupling boundary conditions. The proposed numerical solution is the exact solution of a discrete partial difference mixed problem obtained using a discrete separation of variables method which avoids the computation of large algebraic systems appearing in the standard difference method. Stability and consistency are studied.