Semi-analytic time-marching algorithms for semi-linear parabolic equations
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New time marching algorithms for numerical solution of semi-linear parabolic equations are described. They are based on the approximation method proposed by the first author. An important feature of the algorithms is that they are both explicit and stable under mild restrictions to the time step, which come from the non-linear part of the equation.
AMS subject classifications65M99 65D15
Key wordsnumerical solution semi-linear parabolic equations time marching algorithms
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