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Use of the fundamental solutions of elliptic equations for constructing Monte Carlo algorithms

✍ Scribed by B.S. Elepov; G.A. Mikhailov

Publisher
Elsevier Science
Year
1974
Weight
583 KB
Volume
14
Category
Article
ISSN
0041-5553

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The Laplace transform is applied to remove the time-dependent variable in the di usion equation. For nonharmonic initial conditions this gives rise to a non-homogeneous modiΓΏed Helmholtz equation which we solve by the method of fundamental solutions. To do this a particular solution must be obtained