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VARIOUS WAVELET METHODS FOR SOLVING FRACTIONAL FREDHOLM-VOLTERRA INTEGRAL EQUATIONS

    This work is supported by the National Natural Science Foundation of China (10962008; 11261045; 51061015) and Research Fund for the Doctoral Program of Higher Education of China (20116401110002).

    https://doi.org/10.1142/9789814452885_0026Cited by:0 (Source: Crossref)
    Abstract:

    This paper presents the computational techniques for fractional Fredholm-Volterra integral equations. Various rationalized wavelet functions approximation together with collocation method is utilized to reduce this form of integral equations into a system of algebraic equations. Moreover, through illustrative example, a comparison of numerical solutions by using Harr wavelets, Legendre wavelets, Chebyshev wavelets, confirms the expected accuracy. Specially, this method is computationally attractive while the equations have not been solved analytically.