Abstract
In this work, an efficient technique is adopted to solve a classical one-dimensional nonlinear eigenvalue problem of the well known Gelfand elliptic BVP: −Δy=λexp(±y) with y=0 at the endpoints and λ as the eigenvalue, commonly known as Bratu problem. Advancement of the Haar wavelet method (HWM) has been proposed to improve the precision and solution's convergence rate. Numerical illustrations showed the performance and efficiency of the method. The numerical findings help to manifest the betterment of the proposed method over various existing techniques including splines, wavelets and decomposition methods.
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