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Abstract

A detailed investigation of properties and numerical solutions of Bratu type equations is performed in this article. The approximate solutions of Bratu differential equations are computed by Picard's iterative scheme. The existence, uniqueness and convergence of solutions are verified for every example. It has also been proved that Bratu type equations are Ulam-Hyers-Rassias stable. Furthermore, the derived results are compared with those already exist in the literature so as to validate that Picard's scheme estimates the actual solutions very precisely as compared to other numerical techniques. The absolute errors are also estimated and compared which verified that results obtained by Picard's method have least error.