In this paper, the two-dimensional triangular orthogonal functions (2D-TFs) are applied for solving a class of nonlinear two-dimensional Volterra integral equations. 2D-TFs method transforms these integral equations into a system of linear algebraic equations. The high accuracy of this method is verified through a numerical example and comparison of the results with the other numerical methods.
Mirzaee, F. (2013). Solving a class of nonlinear two-dimensional Volterra integral equations by using two-dimensional triangular orthogonal functions. Journal of Mathematical Modeling, 1(Issue 1), 28-40.
MLA
Farshid Mirzaee. "Solving a class of nonlinear two-dimensional Volterra integral equations by using two-dimensional triangular orthogonal functions". Journal of Mathematical Modeling, 1, Issue 1, 2013, 28-40.
HARVARD
Mirzaee, F. (2013). 'Solving a class of nonlinear two-dimensional Volterra integral equations by using two-dimensional triangular orthogonal functions', Journal of Mathematical Modeling, 1(Issue 1), pp. 28-40.
VANCOUVER
Mirzaee, F. Solving a class of nonlinear two-dimensional Volterra integral equations by using two-dimensional triangular orthogonal functions. Journal of Mathematical Modeling, 2013; 1(Issue 1): 28-40.
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