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• W2029302017 abstract "Few numerical methods such as projection methods, time collocation method, trapezoidal Nystrom method, Adomian decomposition method and some else are used for mixed Volterra–Fredholm integral equations. The main purpose of this paper is to use the piecewise constant two-dimensional block-pulse functions (2D-BPFs) and their operational matrices for solving mixed nonlinear Volterra–Fredholm integral equations of the first kind (VFIE). This method leads to a linear system of equations by expanding unknown function as 2D-BPFs with unknown coefficients. The properties of 2D-BPFs are then utilized to evaluate the unknown coefficients. The error analysis and rate of convergence are given. Finally, some numerical examples show the implementation and accuracy of this method." @default.
• W2029302017 created "2016-06-24" @default.
• W2029302017 creator A5026214299 @default.
• W2029302017 creator A5032667200 @default.
• W2029302017 date "2011-09-01" @default.
• W2029302017 modified "2023-10-03" @default.
• W2029302017 title "Solving nonlinear mixed Volterra–Fredholm integral equations with two dimensional block-pulse functions using direct method" @default.
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• W2029302017 doi "https://doi.org/10.1016/j.cnsns.2010.12.036" @default.
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