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Nonlinear explicit difference schemes for solving parabolic equations

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A method is proposed for solving initial-boundary-value problems for parabolic equations by means of reducing them to Cauchy problems for systems of ordinary differential equations and applying to the latter nonlinear explicit numerical methods.

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Translated from Matematicheskie Metody i Fiziko-Mekhanicheskie Polya, No. 25, pp. 28–30, 1987.

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Glinskii, Y.N. Nonlinear explicit difference schemes for solving parabolic equations. J Math Sci 65, 1943–1945 (1993). https://doi.org/10.1007/BF01097476

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  • Differential Equation
  • Ordinary Differential Equation
  • Cauchy Problem
  • Difference Scheme
  • Parabolic Equation