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The numerical approximation for the solution of linear and nonlinear integral equations of the second kind by interpolating moving least squares. (English) Zbl 1499.65737

Summary: In this paper, the interpolating moving least-squares (IMLS) method is discussed. The interpolating moving least square methodology is an effective technique for the approximation of an unknown function by using a set of disordered data. Then we apply the IMLS method for the numerical solution of Volterra-Fredholm integral equations, and finally some examples are given to show the accuracy and applicability of the method.

MSC:

65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
45D05 Volterra integral equations
45J05 Integro-ordinary differential equations
35R09 Integro-partial differential equations
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