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One of the methods for solving definite integrals is modified trapezoid method, which is obtained by using Hermit interpolation [ In this article we intend to make a quadrature method for solving the linear integral equations such as repeated trapezoid and repeated Simpson quadrature by using repeated modified trapezoid formula and by doing so, we solve the… (More)

— In this paper, a novel modification of the spectral-homotopy analysis method (SHAM) technique for solving highly nonlinear initial value problems that model systems with chaotic and hyper-chaotic behaviour is presented. The proposed method is based on implementing the SHAM on a sequence of multiple intervals thereby increasing it's radius of convergence… (More)