Some features of numerical diagnostics of instantaneous blow-up of the solution by the example of solving the equation of slow diffusion




partial differential equations, numerical diagnostics of the solution’s blow-up, instantaneous blow-up, ill-posed problems


The paper demonstrates how the method of a posteriori estimation of the order of accuracy for the difference scheme according to the Richardson extrapolation method allows one to conclude that the formulation of the numerically solved initial-boundary value problem for a partial differential equation is ill-posed (in the sense of the absence of a solution). This is important in a situation when the ill-posedness of the formulation is not analytically proved yet or cannot be proved in principle.

Author Biographies

I.V. Prigorniy

A.A. Panin

D.V. Lukyanenko


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How to Cite

Пригорный И.В., Панин А.А., Лукьяненко Д.В. Some Features of Numerical Diagnostics of Instantaneous Blow-up of the Solution by the Example of Solving the Equation of Slow Diffusion // Numerical methods and programming. 2021. 22. 77-86. doi 10.26089/NumMet.v22r106



Methods and algorithms of computational mathematics and their applications

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