Computational methods for integral equations
Computational methods for integral equations
Extrapolation of Nystrom solution for two dimensional nonlinear Fredholm integral equations
Journal of Computational and Applied Mathematics
A fast numerical solution method for two dimensional Fredholm integral equations of the second kind
Applied Numerical Mathematics
Hybrid function method for solving Fredholm and Volterra integral equations of the second kind
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
Computers & Mathematics with Applications
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
Journal of Computational and Applied Mathematics
Nyström type methods for Fredholm integral equations with weak singularities
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Delta basis functions and their applications to systems of integral equations
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
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Two-dimensional orthogonal triangular functions (2D-TFs) are presented as a new set of basis functions for expanding 2D functions. Their properties are determined and an operational matrix for integration obtained. Furthermore, 2D-TFs are used to approximate solutions of nonlinear two-dimensional integral equations by a direct method. Since this approach does not need integration, all calculations can be easily implemented, and several advantages in reducing computational burdens arise. Finally, the efficiency of this method will be shown by comparison with some numerical results.