Applications of two-dimensional triangular functions for solving nonlinear class of mixed Volterra–Fredholm integral equations
نویسندگان
چکیده
منابع مشابه
Solving a class of nonlinear two-dimensional Volterra integral equations by using two-dimensional triangular orthogonal functions
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.
متن کاملsolving a class of nonlinear two-dimensional volterra integral equations by using two-dimensional triangular orthogonal functions
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.
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In this paper, a method for finding an approximate solution of a class of two-dimensional nonlinear Volterra integral equations of the first-kind is proposed. This problem is transformedto a nonlinear two-dimensional Volterra integral equation of the second-kind. The properties ofthe bivariate shifted Legendre functions are presented. The operational matrices of integrationtogether with the produ...
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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.
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2012
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.11.041