Three-dimensional thermal stress analysis using the indirect BEM in conjunction with the radial integration method. - Wenzhen Qu; Yaoming Zhang; Yan Gu 007; Fajie Wang (Adv. Eng. Softw., 2017)

Trefftz energy method for solving the Cauchy problem of the Laplace equation. - Chein-Shan Liu; Fajie Wang; Yan Gu 007 (Appl. Math. Lett., 2018)

Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. - Fajie Wang; Qingsong Hua; Chein-Shan Liu (Appl. Math. Lett., 2018)

Optimal sources in the MFS by minimizing a new merit function: Energy gap functional. - Fajie Wang; Chein-Shan Liu; Wenzhen Qu (Appl. Math. Lett., 2018)

An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation. - Chein-Shan Liu; Fajie Wang (Comput. Math. Appl., 2018)

A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain. - Chein-Shan Liu; Fajie Wang (Comput. Math. Appl., 2018)

A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary. - Fajie Wang; Wen Chen 003; Qingsong Hua (Comput. Math. Appl., 2018)

Nonlinear wave inverse source problem solved by a method of m-order homogenization functions. - Chein-Shan Liu; Lin Qiu; Fajie Wang (Appl. Math. Lett., 2019)

A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation. - Chein-Shan Liu; Fajie Wang; Yan Gu 007 (Appl. Math. Lett., 2019)

A novel space-time meshless method for nonhomogeneous convection-diffusion equations with variable coefficients. - Xingxing Yue; Fajie Wang; Qingsong Hua; Xiangyun Qiu (Appl. Math. Lett., 2019)

A meshless singular boundary method for transient heat conduction problems in layered materials. - Lin Qiu; Fajie Wang; Ji Lin 001 (Comput. Math. Appl., 2019)

Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. - Fajie Wang; Chia-Ming Fan; Qingsong Hua; Yan Gu 007 (Appl. Math. Comput., 2020)

Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains. - Fajie Wang; Chao Wang; Zengtao Chen (Appl. Math. Lett., 2020)

Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains. - Fajie Wang; Qinghai Zhao; Zengtao Chen; Chia-Ming Fan (Appl. Math. Comput., 2021)

Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. - Xingxing Yue; Fajie Wang; Po-Wei Li; Chia-Ming Fan (Comput. Math. Appl., 2021)

A semi-analytical and boundary-type meshless method with adjoint variable formulation for acoustic design sensitivity analysis. - Suifu Cheng; Fajie Wang; Guozheng Wu; Chengxin Zhang (Appl. Math. Lett., 2022)

Singular boundary method for 2D and 3D acoustic design sensitivity analysis. - Suifu Cheng; Fajie Wang; Po-Wei Li; Wenzhen Qu (Comput. Math. Appl., 2022)

Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries. - Ji Lin 001; Lin Qiu; Fajie Wang (Comput. Math. Appl., 2022)

Adaptive physics-informed neural networks for dynamic thermo-mechanical coupling problems in large-size-ratio functionally graded materials. - Lin Qiu; Yanjie Wang; Tian He; Yan Gu 007; Fajie Wang (CoRR, 2023)

Boundary integrated neural networks (BINNs) for acoustic radiation and scattering. - Wenzhen Qu; Yan Gu 007; Shengdong Zhao 002; Fajie Wang (CoRR, 2023)

Spectral integrated neural networks (SINNs) for solving forward and inverse dynamic problems. - Lin Qiu; Fajie Wang; Wenzhen Qu; Yan Gu 007; Qing-Hua Qin (Neural Networks, 2024)

A novel semi-analytical meshless method for the thickness optimization of porous material distributed on sound barriers. - Hanqing Liu; Fajie Wang (Appl. Math. Lett., 2024)

A spatio-temporal radial basis function collocation method based on Hausdorff fractal distance for Hausdorff derivative heat conduction equations in three-dimensional anisotropic materials. - Jiayu Wang; Lin Qiu; Yingjie Liang; Fajie Wang (Appl. Math. Comput., 2025)

Physics-informed radial basis function network based on Hausdorff fractal distance for solving Hausdorff derivative elliptic problems. - Lin Qiu; Fajie Wang; Yingjie Liang; Qing-Hua Qin (Comput. Math. Appl., 2025)

Enriched physics-informed neural networks for dynamic Poisson-Nernst-Planck systems. - Xujia Huang; Fajie Wang; Benrong Zhang; Hanqing Liu (Math. Comput. Simul., 2025)

Spectral integrated neural networks with large time steps for 2D and 3D transient elastodynamic analysis. - Haodong Ma; Wenzhen Qu; Yan Gu 007; Lin Qiu; Fajie Wang; Shengdong Zhao 002 (Neural Networks, 2025)