Gu, Yan; Lin, Ji; Fan, Chia-Ming Electroelastic analysis of two-dimensional piezoelectric structures by the localized method of fundamental solutions. (English) Zbl 1524.62601 Adv. Appl. Math. Mech. 15, No. 4, 880-900 (2023). MSC: 62P30 65M32 65K05 PDFBibTeX XMLCite \textit{Y. Gu} et al., Adv. Appl. Math. Mech. 15, No. 4, 880--900 (2023; Zbl 1524.62601) Full Text: DOI
Li, Po-Wei; Grabski, Jakub Krzysztof; Fan, Chia-Ming; Wang, Fajie A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media. (English) Zbl 1521.76557 Eng. Anal. Bound. Elem. 142, 138-152 (2022). MSC: 76M20 65M06 65M12 76R10 76S05 PDFBibTeX XMLCite \textit{P.-W. Li} et al., Eng. Anal. Bound. Elem. 142, 138--152 (2022; Zbl 1521.76557) Full Text: DOI
Zhang, Junli; Yang, Chenchen; Zheng, Hui; Fan, Chia-Ming; Fu, Ming-Fu The localized method of fundamental solutions for 2D and 3D inhomogeneous problems. (English) Zbl 07538499 Math. Comput. Simul. 200, 504-524 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Zhang} et al., Math. Comput. Simul. 200, 504--524 (2022; Zbl 07538499) Full Text: DOI
Zhang, Juan; Shuy, Rong-Juin; Chu, Chiung-Lin; Fan, Chia-Ming Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation. (English) Zbl 07487718 Math. Comput. Simul. 196, 45-67 (2022). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{J. Zhang} et al., Math. Comput. Simul. 196, 45--67 (2022; Zbl 07487718) Full Text: DOI
Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming Improvement of generalized finite difference method for stochastic subsurface flow modeling. (English) Zbl 07500737 J. Comput. Phys. 429, Article ID 110002, 24 p. (2021). MSC: 65Nxx 74Sxx 35Qxx PDFBibTeX XMLCite \textit{S.-Y. Chen} et al., J. Comput. Phys. 429, Article ID 110002, 24 p. (2021; Zbl 07500737) Full Text: DOI
Li, Po-Wei; Fan, Chia-Ming; Grabski, Jakub Krzysztof A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. (English) Zbl 1521.76556 Eng. Anal. Bound. Elem. 131, 159-173 (2021). MSC: 76M20 65M06 65M70 76B15 PDFBibTeX XMLCite \textit{P.-W. Li} et al., Eng. Anal. Bound. Elem. 131, 159--173 (2021; Zbl 1521.76556) Full Text: DOI
Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. (English) Zbl 1521.74360 Eng. Anal. Bound. Elem. 129, 82-92 (2021). MSC: 74S15 65N38 35L05 PDFBibTeX XMLCite \textit{F. Wang} et al., Eng. Anal. Bound. Elem. 129, 82--92 (2021; Zbl 1521.74360) Full Text: DOI
Xing, Yanan; Song, Lina; Fan, Chia-Ming A generalized finite difference method for solving elasticity interface problems. (English) Zbl 1521.74392 Eng. Anal. Bound. Elem. 128, 105-117 (2021). MSC: 74S20 65N06 65N12 74A50 PDFBibTeX XMLCite \textit{Y. Xing} et al., Eng. Anal. Bound. Elem. 128, 105--117 (2021; Zbl 1521.74392) Full Text: DOI
Fu, Zhuo-Jia; Chu, Wen-Hui; Yang, Min; Li, Po-Wei; Fan, Chia-Ming Estimation of tumor characteristics in a skin tissue by a meshless collocation solver. (English) Zbl 07342009 Int. J. Comput. Methods 18, No. 3, Article ID 2041009, 27 p. (2021). MSC: 80-XX 65-XX PDFBibTeX XMLCite \textit{Z.-J. Fu} et al., Int. J. Comput. Methods 18, No. 3, Article ID 2041009, 27 p. (2021; Zbl 07342009) Full Text: DOI
Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. (English) Zbl 1524.65894 Comput. Math. Appl. 88, 120-134 (2021). MSC: 65N35 35J05 65N80 31A30 65F50 65F35 PDFBibTeX XMLCite \textit{Y.-C. Liu} et al., Comput. Math. Appl. 88, 120--134 (2021; Zbl 1524.65894) Full Text: DOI
Huang, Ji; Chu, Chi-Nan; Fan, Chia-Ming; Chen, Jiahn-Horng; Lyu, Hongguan On the propagation of nonlinear water waves in a three-dimensional numerical wave flume using the generalized finite difference method. (English) Zbl 1464.76123 Eng. Anal. Bound. Elem. 119, 225-234 (2020). MSC: 76M20 65M06 76B15 PDFBibTeX XMLCite \textit{J. Huang} et al., Eng. Anal. Bound. Elem. 119, 225--234 (2020; Zbl 1464.76123) Full Text: DOI
Qu, Wenzhen; Fan, Chia-Ming; Li, Xiaolin Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. (English) Zbl 1446.65195 Comput. Math. Appl. 80, No. 1, 13-30 (2020). MSC: 65N80 65N35 65N12 35J05 65K10 PDFBibTeX XMLCite \textit{W. Qu} et al., Comput. Math. Appl. 80, No. 1, 13--30 (2020; Zbl 1446.65195) Full Text: DOI
Gu, Yan; Fan, Chia-Ming; Xu, Rui-Ping Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems. (English) Zbl 1458.74143 Appl. Math. Lett. 93, 8-14 (2019). MSC: 74S99 74B99 PDFBibTeX XMLCite \textit{Y. Gu} et al., Appl. Math. Lett. 93, 8--14 (2019; Zbl 1458.74143) Full Text: DOI
Fan, Chia-Ming; Chu, Chi-Nan; Šarler, Božidar; Li, Tsung-Han Numerical solutions of waves-current interactions by generalized finite difference method. (English) Zbl 1464.74266 Eng. Anal. Bound. Elem. 100, 150-163 (2019). MSC: 74S15 65M06 86A05 PDFBibTeX XMLCite \textit{C.-M. Fan} et al., Eng. Anal. Bound. Elem. 100, 150--163 (2019; Zbl 1464.74266) Full Text: DOI
Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. (English) Zbl 1403.76132 Eng. Anal. Bound. Elem. 95, 175-186 (2018). MSC: 76M20 65N06 76R10 76S05 PDFBibTeX XMLCite \textit{P.-W. Li} et al., Eng. Anal. Bound. Elem. 95, 175--186 (2018; Zbl 1403.76132) Full Text: DOI
Gu, Yan; Lei, Jun; Fan, Chia-Ming; He, Xiao-Qiao The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation. (English) Zbl 1403.65039 Eng. Anal. Bound. Elem. 91, 73-81 (2018). MSC: 65M06 65M32 80A23 PDFBibTeX XMLCite \textit{Y. Gu} et al., Eng. Anal. Bound. Elem. 91, 73--81 (2018; Zbl 1403.65039) Full Text: DOI
Lei, Bin; Fan, C. M.; Li, Ming The method of fundamental solutions for solving non-linear berger equation of thin elastic plate. (English) Zbl 1403.74307 Eng. Anal. Bound. Elem. 90, 100-106 (2018). MSC: 74S30 65N80 74K20 PDFBibTeX XMLCite \textit{B. Lei} et al., Eng. Anal. Bound. Elem. 90, 100--106 (2018; Zbl 1403.74307) Full Text: DOI
Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. The method of particular solutions using trigonometric basis functions. (English) Zbl 1524.65900 J. Comput. Appl. Math. 335, 20-32 (2018). MSC: 65N35 35J25 65N80 65T40 PDFBibTeX XMLCite \textit{Z. Tian} et al., J. Comput. Appl. Math. 335, 20--32 (2018; Zbl 1524.65900) Full Text: DOI Link
Li, Po-Wei; Fan, Chia-Ming Generalized finite difference method for two-dimensional shallow water equations. (English) Zbl 1403.76133 Eng. Anal. Bound. Elem. 80, 58-71 (2017). MSC: 76M20 65M06 76B15 PDFBibTeX XMLCite \textit{P.-W. Li} and \textit{C.-M. Fan}, Eng. Anal. Bound. Elem. 80, 58--71 (2017; Zbl 1403.76133) Full Text: DOI
Zhang, Ting; Ren, Yu-Fei; Fan, Chia-Ming; Li, Po-Wei Simulation of two-dimensional sloshing phenomenon by generalized finite difference method. (English) Zbl 1403.65044 Eng. Anal. Bound. Elem. 63, 82-91 (2016). MSC: 65M06 76B10 76M20 PDFBibTeX XMLCite \textit{T. Zhang} et al., Eng. Anal. Bound. Elem. 63, 82--91 (2016; Zbl 1403.65044) Full Text: DOI
Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung Generalized finite difference method for solving two-dimensional inverse Cauchy problems. (English) Zbl 1329.65257 Inverse Probl. Sci. Eng. 23, No. 5, 737-759 (2015). MSC: 65N20 65N06 35R30 PDFBibTeX XMLCite \textit{C.-M. Fan} et al., Inverse Probl. Sci. Eng. 23, No. 5, 737--759 (2015; Zbl 1329.65257) Full Text: DOI
Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu Generalized finite difference method for numerical solutions of density-driven groundwater flows. (English) Zbl 1356.76204 CMES, Comput. Model. Eng. Sci. 101, No. 5, 319-350 (2014). MSC: 76M20 65M06 76S05 PDFBibTeX XMLCite \textit{P.-W. Li} et al., CMES, Comput. Model. Eng. Sci. 101, No. 5, 319--350 (2014; Zbl 1356.76204) Full Text: DOI
Fan, Chia-Ming; Li, Hong-Huei; Hsu, Chuan-Yen; Lin, Chun-Hung Solving inverse Stokes problems by modified collocation Trefftz method. (English) Zbl 1293.65145 J. Comput. Appl. Math. 268, 68-81 (2014). MSC: 65N21 65N35 76D07 PDFBibTeX XMLCite \textit{C.-M. Fan} et al., J. Comput. Appl. Math. 268, 68--81 (2014; Zbl 1293.65145) Full Text: DOI
Chan, Hsin-Fang; Fan, Chia-Ming; Kuo, Chia-Wen Generalized finite difference method for solving two-dimensional non-linear obstacle problems. (English) Zbl 1287.74056 Eng. Anal. Bound. Elem. 37, No. 9, 1189-1196 (2013). MSC: 74S20 65N06 65K15 PDFBibTeX XMLCite \textit{H.-F. Chan} et al., Eng. Anal. Bound. Elem. 37, No. 9, 1189--1196 (2013; Zbl 1287.74056) Full Text: DOI
Fan, Chia-Ming; Li, Hong-Huei Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition. (English) Zbl 1302.76055 Appl. Math. Comput. 219, No. 12, 6520-6535 (2013). MSC: 76D07 65N21 65N35 76M22 PDFBibTeX XMLCite \textit{C.-M. Fan} and \textit{H.-H. Li}, Appl. Math. Comput. 219, No. 12, 6520--6535 (2013; Zbl 1302.76055) Full Text: DOI
Chen, C. S.; Fan, C. M.; Wen, P. H. The method of approximate particular solutions for solving certain partial differential equations. (English) Zbl 1242.65267 Numer. Methods Partial Differ. Equations 28, No. 2, 506-522 (2012). MSC: 65N80 35G05 PDFBibTeX XMLCite \textit{C. S. Chen} et al., Numer. Methods Partial Differ. Equations 28, No. 2, 506--522 (2012; Zbl 1242.65267) Full Text: DOI
Chen, C. S.; Fan, C. M.; Wen, P. H. The method of approximate particular solutions for solving elliptic problems with variable coefficients. (English) Zbl 1245.65172 Int. J. Comput. Methods 8, No. 3, 545-559 (2011). MSC: 65N99 35J99 PDFBibTeX XMLCite \textit{C. S. Chen} et al., Int. J. Comput. Methods 8, No. 3, 545--559 (2011; Zbl 1245.65172) Full Text: DOI
Hu, S. P.; Fan, C. M.; Young, D. L. The meshless analog equation method for solving heat transfer to molten polymer flow in tubes. (English) Zbl 1190.80013 Int. J. Heat Mass Transfer 53, No. 9-10, 2240-2247 (2010). MSC: 80A20 76A05 76M25 80M25 PDFBibTeX XMLCite \textit{S. P. Hu} et al., Int. J. Heat Mass Transfer 53, No. 9--10, 2240--2247 (2010; Zbl 1190.80013) Full Text: DOI
Young, D. L.; Lin, Y. C.; Fan, C. M.; Chiu, C. L. The method of fundamental solutions for solving incompressible Navier-Stokes problems. (English) Zbl 1244.76104 Eng. Anal. Bound. Elem. 33, No. 8-9, 1031-1044 (2009). MSC: 76M28 76D05 65M80 PDFBibTeX XMLCite \textit{D. L. Young} et al., Eng. Anal. Bound. Elem. 33, No. 8--9, 1031--1044 (2009; Zbl 1244.76104) Full Text: DOI
Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N. The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. (English) Zbl 1244.76096 Eng. Anal. Bound. Elem. 32, No. 5, 395-412 (2008). MSC: 76M25 76D99 65M80 PDFBibTeX XMLCite \textit{D. L. Young} et al., Eng. Anal. Bound. Elem. 32, No. 5, 395--412 (2008; Zbl 1244.76096) Full Text: DOI