Work

A decoupled finite difference scheme for the phase separation equation coupled with viscoelasticity in two-space dimension

Year: 2026

Type: article

Abstract: In this article, we study the phase separation equation coupled with viscoelasticity in two-space dimension. Pawłow and Zaja̧czkowski proposed the system and gave some mathematical analysis such as the existence of a solution in the series of results. Our purpose is to propose a decoupled finite difference scheme for the model and to show the unique existence of the solution for the scheme and the error estimate. Moreover, several numerical simulations are demonstrated.

Source: Japan Journal of Industrial and Applied Mathematics

DOI: 10.1007/s13160-026-00812-y

Authors: Mahito Anai, Shuji Yoshikawa

Institution: Hiroshima University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Japan Society for the Promotion of Science