Iterative Scheme of Integral and Integro-differential Equations Using Daubechies Wavelets New Transform Method

Daubechies wavelet new transform technique is presented for the iterative scheme of linear and nonlinear integral (particularly in Fredholm, Volterra, mixed Volterra–Fredholm integral and integro-differential) equations. Wavelet new prolongation and new restriction operators are established via Daubechies D2 wavelet new filter coefficients. Some of the appearance of the numerical examples that the proposed scheme compromises an efficient and better accuracy with faster convergence in less computation cost, which is justified through the error analysis and computational time. © 2020, Springer Nature India Private Limited.