Affiliation:
1. School of Liberal Arts Korea University of Technology and Education Cheonan Republic of Korea
2. Department of Mathematics Sungkyunkwan University Suwon Republic of Korea
3. Department of Mathematics Education Kongju National University Kongju Republic of Korea
Abstract
AbstractIn this article, we analyze an operator splitting scheme of the nonlinear heat equation in (): where and with and . We establish the well‐posedness of the approximation of in ‐space (), and furthermore, we derive its convergence rate of order for a time step . Finally, we give some numerical examples to confirm the reliability of the analyzed result
Funder
National Research Foundation of Korea
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis