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In the current paper the boundary elements method (BEM) has been employed to solve linear Helmholtz and semi-linear Poisson׳s equations. In fact a new idea will be presented to solve linear Poisson׳s and Helmholtz equations with variable coefficient by the use of BEM. And after that two iterative schemes based on the fixed point theorem and Newton׳s method have been studied to solve semi-linear Poisson׳s...
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