A supervised learning algorithm to simulate tumor growth: Cahn–Hilliard model on surfaces

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2025-02-11 DOI:10.1016/j.enganabound.2025.106132

Mojtaba Torkian , Mostafa Abbaszadeh , Seyed Majid Alavi , Majid Haghverdi

引用次数: 0

Abstract

The current work concerns to introduce a new numerical solution based upon a supervised learning algorithm with the shape functions of reproducing kernel particle method (RKPM). In the developed technique a least-squares support vector regression is extended for the numerical solution of the Cahn–Hilliard (CH) model in two- and three-dimensional domains. First, the time derivative is approximated by a BDF2 algorithm to get a semi-discrete scheme. Then, the local RKPM-differential quadrature (LRKPM-DQ) is employed to build the differential matrices. Finally, the least-squares support vector regression idea is used to drive the numerical solution. The proposed numerical procedure is applied for two-dimensional CH model and also it is examined for the main mathematical model on different surfaces. The numerical results confirm the ability and efficiency of the introduced numerical formulation.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.