An Improved Numerical Method for Solving Nonlinear Volterra-Fredholm Integral Equations Using Hybrid Functions
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چکیده
This paper presents an effective numerical method for solving a class of nonlinear VolterraFredholm integral equations by using the hybrid functions of Legendre polynomials and block-pulse functions. The proposed method which differs with previous approaches, attemp ts to use the exact forms of known functions in solving the integral equation. So its accuracy appropriately increases and the computational burden decreases. The convergence analysis and associated theorems are also considered. The efficiency and accuracy of proposed method are confirmed by some given test examples.
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تاریخ انتشار 2013