A Modified Method of Fundamental Solutions with Source on the Boundary for Solving Laplace Equations with Circular and Arbitrary Domains

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Singular boundary method for modified Helmholtz equations (2014, background): “This issue can be also found in Case 4 in the literature [30].”
A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length (2007, unknown): “1 Department of Mechanical and Mechatronic Engineering, Taiwan Ocean University, Keelung, Taiwan. E-mail: csliu@mail.ntou.edu.tw ellipse, rectangle, etc., the exact solutions could be found, in general, for a given arbitrary plane domain the finding of closed-form solution is not an easy task. Indee”
Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method (2015, methodology): “Table 3 lists the numerical errors of velocity ux at the point A(L/2,H/3) by using present SBM, compared with those by using the MFS, BEM and modified MFS (MMFS) [22,23].”
Solution of potential flow problems by the modified method of fundamental solutions: Formulations with the single layer and the double layer fundamental solutions (2009, methodology): “Both approaches differ from the previous two pioneering works on the subject [19,20].”