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A modified upwind difference scheme for nonlinear parabolic equations in a variable domain

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Abstract

The nonlinear parabolic equations in a variable domain are considered. A modified upwind difference scheme is given in the variable domain. Stability in l-norm and error estimate in I 2-norm are obtained.

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The project supported by the National Natural Science Foundation of China.

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Mingrong, C. A modified upwind difference scheme for nonlinear parabolic equations in a variable domain. Appl. Math. Chin. Univ. 12, 411–418 (1997). https://doi.org/10.1007/s11766-997-0043-6

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  • DOI: https://doi.org/10.1007/s11766-997-0043-6

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