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Using operational matrix for solving nonlinear class of mixed Volterra–Fredholm integral equations
Authors:Farshid Mirzaee  Elham Hadadiyan
Institution:Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran
Abstract:This paper presents a computational technique for the solution of the nonlinear mixed Volterra–Fredholm integral equations of the second kind. Using the properties of three‐dimensional modification of hat functions, these are types of equations to a nonlinear system of algebraic equations. Also, convergence results and error analysis are discussed. The efficiency and accuracy of the proposed method is illustrated by numerical examples. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:nonlinear mixed Volterra–  Fredholm integral equations  modification of hat functions  operational matrices  vector form  error analysis
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