中南大学 Yufeng Xu

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Yufeng Xu

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Journal Publications

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[1]Shreya Singh, Riya Kumari Burman, Rajesh K. Pandey*, Yufeng Xu.A localized radial basis function-based approach for quenching phenomenon of two-dimensional semilinear wave equation[J].International Journal of Numerical Methods for Heat & Fluid Flow, 2026, 2026: 1--32.
[2]Yufeng Xu*, Ying Zhu*, Desong Kong**, Zhoushun Zheng*, A direct parallel-in-time finite difference solver for quenching combustion problem[J].Advances in Computational Mathematics, 2026, 52 (15) : 1--28.
[3]Zhijian Ye, Puxin Guo, Yufeng Xu*, Zhoushun Zheng, Numerical study of Allen–Cahn equation with variable diffusive coefficients[J].International Journal of Computer Mathematics, 2026, 2026: 1--21.
[4]Riya Kumari Burman, Ting Du, Rajesh Pandey, Yufeng Xu.On quenching phenomena of two-dimensional semilinear wave equation[J].ASME: Journal of Computational and Nonlinear Dynamics, 2025, 21 (2) : 1--12.
[5]Kejia Pan, Pengde Wang, Yufeng Xu, Xianhang Zhou, Combined compact finite difference schemes for 2-D acoustic wave propagation[J].Journal of Applied Mathematics and Computing, 2025: 1--27.
[6]Lei Liu, Yufeng Xu, Numerical solutions of one-dimensional Gelfand equation with fractional Laplacian[J].Journal of Mathematical Chemistry, 2025, 63: 651--665.
[7]S. Kumar, K. Kumar, R.K. Pandey, Yufeng Xu, Legendre collocation method for new generalized fractional advection-diffusion equation[J].International Journal of Computer Mathematics, 2024: 1-23.
[8]Kejia Pan, Y. Xu, Xiaoxin Wu.Biquadratic element discrete duality finite volume method for solving elliptic equations on quadrilateral mesh[J].Journal of Computational Physics, 2024, 503 (2024) : 1-16.
[9]Yufeng Xu, Pintao Zhao, Zhijian Ye, Zhoushun Zheng, Conservative second-order finite difference method for Camassa–Holm equation with periodic boundary condition[J].International Journal of Computer Mathematics, 2023: 1-19.
[10]Ruixue Sun, Y. Xu, Numerical solutions of Gelfand equation in steady combustion process[J].Applied Mathematics and Computation, 2022, 441: 1-12.
[11]Wen Cao, Y. Xu.Collocation method for optimal control of a fractional distributed system[J].Fractal and Fractional, 2022, 6 (594) : 1-13.
[12]Kejia Pan; Xiao-xin Wu; Yufeng Xu; Guangwei Yuan.An exact-interface-fitted mesh generator and linearity-preserving finite volume scheme for anisotropic elliptic interface problems[J].Journal of Computational Physics, 2022, 463 (2022) : 1-25.
[13]Taibai Fu, Changfa Du, Y. Xu, An effective finite element method with shifted fractional powers bases for fractional boundary value problems[J].Journal of Scientific Computing, 2022, 4 (92) : 1-15.
[14]Yang Hongbin, Xu Yufeng, Xu Yufeng, Numerical solution for a semilinear parabolic blowup-combustion model.数学理论与应用, 2020, 40 (3) : 40-53.
[15]K.J. Pan, Hai-Wei Sun, Yuan Xu, Y. Xu.An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients[J].Applied Mathematics and Computation, 2020, 402: 1-15.
[16]Z.B. Wang, Y. Xu, Quenching of combustion explosion model with balanced space-fractional derivative[J].Mathematical Methods in the Applied Sciences, 2020, 43 (7) : 4472-4485.
[17]Desong Kong, Y. Xu, Zhoushun Zheng.Numerical method for generalized time fractional KdV‐type equation[J].Numerical Methods for PDEs, 2019, 36 (4) : 906-936.
[18]Qinwu Xu, Y. Xu, Quenching study of two-dimensional fractional reaction-diffusion equation from combustion process[J].Computers and Mathematics with Applications, 2019, 78 (5) : 1490-1506.
[19]Desong Kong, Y. Xu, Zhoushun Zheng.A hybrid numerical method for the KdV equation by finite difference and sinc collocation method[J].Applied Mathematics and Computation, 2019, 355: 61-72.
[20]K. Kumar, R.K. Pandey, S. Sharma, Y. Xu.Numerical scheme with convergence for a generalized time-fractional Telegraph-type equation[J].Numerical Methods for PDEs, 2019, 35 (3) : 1164-1183.

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