Haar wavelet Method for Solving Initial and Boundary Value Problems of Bratu-type

In this paper, we present a framework to determine Haar solutions of Bratu-type equations that are widely applicable in fuel ignition of the combustion theory and heat transfer. The method is proposed by applying Haar series for the highest derivatives and integrate the series. Several examples are given to confirm the efficiency and the accuracy of the proposed algorithm. The results show that the proposed way is quite reasonable when compared to exact solution. Keywords—Haar wavelet method; Bratu's problem; Boundary value problems; Initial value problems; Adomain decomposition method

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