Abstract
In this paper, a generalized operational matrix method based on Haar wavelets is proposed to solve the non-steady heat transfer model of fractional order. Contrary to existing operational matrix methods based on orthogonal functions, we formulate the Haar wavelet operational matrices of general order integration without using the block pulse functions. The main characteristic of our method is that it converts the given problem to a system of algebraic equations with unknown coefficients, which significantly accelerates the entire computational process. The performance of the numerical scheme is assessed and tested on specific test problems and the comparisons are given with other methods found in the recent literature. The numerical outcomes show that the proposed technique yields exceptionally precise outcomes and is computationally more efficient than the existing ones.
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