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| The paper mainly considers and analyzes the first order, linear and fully-decoupled numerical schemefor the time-dependent incompressible thermally coupled magnetohydrodynamic equations.Firstly, an equivalent system of the original problem is formed by introducing the suitable generalizedscalar auxiliary variable, the consist splitting method is employed to construct the ideal numerical scheme.Then, a series of linear algebra equations with the constant coefficients at each time step.As a consequence, the computational size is reduces and the computational cost is saved.Secondly, the unconditional stability results of numerical solutions are established by the energy methodand the recursive analysis method. Finally, the convergence results of numerical approximations are presented by introducing the Stokes pressure and using the mathematical induction method |
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| Keywords:Time-dependent thermally coupled magnetohydrodynamic equations,consist splitting method, generalized scalar auxiliary variable, stability |
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