Solutions of 2-D Bratu Equations Using Lie Group Method

In this study, the nonlinear term in two-dimensional Bratu equation has been replaced by its Taylor’s expansion. Hence, resulting partial differential studied using Lie group method. The symmetry reductions that reduce equations to ordinary are determined theory. resultant were analytically solved, and solutions obtained closed form for some specified parameter values, while others solved numerically. We investigated effect of increasing value coefficient on behavior solution results, graphically presented.