A NUMERICAL METHOD FOR SOLVING BRATU'S PROBLEM.

A brief survey of the properties and different treatments of the one-dimensional Bratu's problems is presented, and a numerical method is stated for solving this problem via Genocchi polynomial G_n(x). In this paper, the obtained error was compared between the proposed technique, Chebyshev wavelets, and Legendre wavelets. Numerical examples are exhibited to verify the efficiency and accuracy of the stated technique. [ABSTRACT FROM AUTHOR]