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Lecture on "Solving Nonlinear Elliptic PDE Problems by the Method of Approximate Fundamental Solutions"
DateandTime: 2018-06-30 14:18:51

Speaker: Professor Haiyan Tian, Department of Mathematics, University of Southern Mississippi

Date: July 5, 2018

Time: 4:00 p.m.–5:00 p.m.

Location: Room 1044, Block B, Zhixin Building, Central Campus


Through a fictitious time approach, a nonlinear Poisson-type problem is converted into a time-dependent quasilinear problem. This is further approximated by a sequence of time-dependent linear nonhomogeneous modified Helmholtz boundary value problems, which are solved by the method of particular solutions of Delta-shaped basis functions and approximate fundamental solutions. Numerical results are provided to show the accuracy and validity of the computational method.

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Edited by: Zhang Kaige, Song Yijun

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