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Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions. (English) Zbl 1133.65117
Summary: Rationalized Haar functions are developed to approximate the solution of the nonlinear Volterra-Fredholm-Hammerstein integral equations. The properties of rationalized Haar functions are first presented. These properties together with the Newton-Cotes nodes and Newton-Cotes integration method are then utilized to reduce the solution of Volterra-Fredholm-Hammerstein integral equations to the solution of algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.

MSC:
65R20 Numerical methods for integral equations
45G10 Other nonlinear integral equations
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