A numerical algorithm for the involutory parabolic problem

2019

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DOI 10.1063/1.5136172
Data confidence 85 high
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Abstract

The Fourier series, Laplace and Fourier transforms are applicable for the solution of parabolic type involutory differential problem with constant or polynomial coefficients. In the present paper, the first and second order of accuracy difference schemes for the numerical solution of the initial boundary value problem for one dimensional parabolic type involutory partial differential equation are presented. Numerical results are given.