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A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions. (English) Zbl 1228.65243

Summary: We use hat basis functions to solve the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs) of the second kind. This method converts the system of integral equations into a linear or nonlinear system of algebraic equations. Also, we consider the order of convergence of the method and show that it is \(O(h^{2})\). Application of the method on some examples show its accuracy and efficiency.

MSC:

65R20 Numerical methods for integral equations
45F99 Systems of linear integral equations
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