Solving linear two-dimensional Fredholm integral equations system by triangular functions

  • Abstract
  • Keywords
  • References
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  • Abstract

    In this paper, we intend to offer a numerical method to solve linear two-dimensional Fredholm integral equations system of the second kind. This method converts the given two-dimensional Fredholm integral equations system into a linear system of algebraic equations by using twodimensional triangular functions. Moreover, we prove the convergence of the method. Finally the proposed method is illustrated by two examples and also results are compared with the exact solution by using computer simulations.

  • Keywords

    Two-dimensional Fredholm integral equations system of the second kind (2D-FIES-2); Two m-sets of one-dimensional triangular functions (1D-TFs); Twodimensional triangular functions (2D-TFs).

  • References

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Article ID: 6174
DOI: 10.14419/ijamr.v5i4.6174

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