Applied Mathematics & Information Sciences

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In this paper, we proposed an efficient numerical method based on uniform Haar wavelet for the numerical solutions of two parameter singularly perturbed boundary value problems. Such type of problems arise in various field of science and engineering, such as heat transfer problem with large Peclet numbers, Navier-Stokes flows with large Reynolds numbers, transport phenomena in chemistry and biology, chemical reactor theory, aerodynamics, reaction-diffusion process, quantum mechanics, optimal control theory etc. In present study more accurate solutions have been obtained by wavelet decomposition with multiresolution analysis. An extensive amount of error analysis has been carried out to obtain the convergence of the method. Four test problems are considered to check the efficiency and accuracy of the proposed method. The numerical results are found in good agreement with exact and existing solutions in literature.

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