On a perturbation method for stochastic parabolic PDE

TL;DR

This paper examines a perturbation method for solving linear stochastic parabolic PDEs, focusing on constructing the perturbation series and analyzing its convergence to improve solution accuracy.

Contribution

It advances the understanding of the perturbation method by addressing key issues in series construction and convergence analysis for stochastic PDEs.

Findings

Improved perturbation series construction techniques

Convergence conditions for the perturbation method

Enhanced accuracy in solving stochastic parabolic PDEs

Abstract

In the article we address two issues related to the perturbation method introduced by Zhang and Lu, and applied to solving linear stochastic parabolic PDE. Those issues are: the construction of the perturbation series, and its convergence.