A stable numerical solution of a class of semi-linear Cauchy problem

Published in Journal of Advanced Research in Dynamical and Control Systems, 2012

Recommended citation: M. Garshasbi, P. Reihani, and H. Dastour. A stable numerical solution of a class of semi-linear cauchy problems. Journal of Advanced Research in Dynamical and Control Systems, 4:56-67, 2012. http://connection.ebscohost.com/c/articles/77840821/stable-numerical-solution-class-semi-linear-cauchy-problems

Abstract:

In this paper, we are mainly concerned with the numerical solution of a class of non-well posed semi-linear Cauchy problems for the heat equation. The noisy data are given at the boundary. A stable numerical method based on mollification scheme and marching method is developed to solve the proposed problem. The error of this method is analyzed and some numerical examples are investigated.

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