New splitting methods for two-dimensional evolutionary equations |
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| Authors: | N. V. Shirobokov |
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| Affiliation: | (1) Southern Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia |
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| Abstract: | New second- and third-order splitting methods are proposed for evolutionary-type partial differential equations in a two-dimensional space. These methods are derived on the basis of diagonally implicit methods applied to the numerical analysis of stiff ordinary differential equations. The splitting methods are found to be absolutely unconditionally stable. Test calculations are presented. |
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| Keywords: | two-dimensional evolutionary equations Runge-Kutta methods diagonally implicit methods stiff problems second- and third-order splitting methods |
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