A New Method for Solving Multi-Dimensional Fredholm Integral Equations and Its Convergence Analysis

The present study is focused on the development of an approximate solution for multi-dimensional fredholm integral equations of the second type. to this end, the expansion method was utilized which reduced the multi-dimensional integral equation to a partial dierential one. by constructing boundary conditions, this partial dierential equation was further reduced to an algebraic equation that could be easily solved with diverse approaches. furthermore, some theorems were proved for convergence analysis. at last, the eciency of the method was illustrated through several numerical examples.