A new approach for solving Bratu’s problem

Abstract

A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique. In this sequel, the obtained error was shown between the proposed technique, Chebyshev wavelets, and Legendre wavelets. The results display that this technique is accurate.

Keywords

• bernstein polynomials and series
• numerical solution
• bezier method
• 34b10
• 34b15