Linearized compact difference schemes applied to nonlinear variable coefficient parabolic equations with distributed delay

Abstract

AbstractIn this article, combined with the compound trapezoidal formula, two linearized compact difference methods are presented for solving nonlinear variable coefficient parabolic equations with distributed delay. It is proved under some appropriate conditions that these linearized compact schemes are uniquely solvable and convergent of order two in time and order four in space. Finally, with several numerical experiments, the theoretical accuracy and computational effectiveness of the proposed methods are further testified.