The method of fundamental solutions for time- dependent problems
نویسندگان
چکیده
We show how a number of second order time-dependent partial differential equations can be solved numerically by reformulating them in terms of inhomogeneous modified Helmholtz equations. Using recently derived analytic particular solutions for these equations, the resulting boundary value problems can be reduced to solving homogeneous Helmholtz equations which can be done effectively using the MFS. The resulting algorithms are efficient in that they require neither domain nor boundary discretization.
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