AUTHOR=Buryachenko Kateryna , Chugunova Marina , Kolomoitsev Yurii TITLE=Editorial: Approximation methods and analytical modeling using partial differential equations JOURNAL=Frontiers in Applied Mathematics and Statistics VOLUME=11 YEAR=2025 URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2025.1584781 DOI=10.3389/fams.2025.1584781 ISSN=2297-4687